- Access by Xinjiang University
Highly charged ions: Optical clocks and applications in fundamental physics
Rev. Mod. Phys. 90, 045005 – Published 4 December, 2018
DOI: https://doi.org/10.1103/RevModPhys.90.045005
Abstract
Recent developments in frequency metrology and optical clocks have been based on electronic transitions in atoms and singly charged ions as references. The control over all relevant degrees of freedom in these atoms has enabled relative frequency uncertainties at a level of . This accomplishment not only allows for extremely accurate time and frequency measurements, but also to probe our understanding of fundamental physics, such as a possible variation of fundamental constants, a violation of the local Lorentz invariance, and the existence of forces beyond the standard model of physics. In addition, novel clocks are driving the development of sophisticated technical applications. Crucial for applications of clocks in fundamental physics are a high sensitivity to effects beyond the standard model and a small frequency uncertainty of the clock. Highly charged ions offer both. They possess optical transitions which can be extremely narrow and less sensitive to external perturbations compared to current atomic clock species. The large selection of highly charged ions offers narrow transitions that are among the most sensitive ones for the “new physics” effects. Recent experimental advances in trapping and sympathetic cooling of highly charged ions will in the future enable advanced quantum logic techniques for controlling motional and internal degrees of freedom and thus enable high-accuracy optical spectroscopy. Theoretical progress in calculating the properties of selected highly charged ions has allowed the evaluation of systematic shifts and the prediction of the sensitivity to the physics beyond the standard model. New theoretical challenges and opportunities emerge from relativistic, quantum electrodynamics, and nuclear-size contributions that become comparable with interelectronic correlations. This article reviews the current status of the field, addresses specific electronic configurations and systems which show the most promising properties for research, their potential limitations, and the techniques for their study.
Physics Subject Headings (PhySH)
Article Text
References (498)
- Akhiezer, A. I., and V. B. Berestetskii, 1965, Quantum Electrodynamics (Interscience Publishers, New York).
- Ali, R., C. P. Bhalla, C. L. Cocke, M. Schulz, and M. Stockli, 1991, “Dielectronic recombination on and electron-impact excitation of heliumlike argon,” Phys. Rev. A 44, 223.
- Ali, R., C. P. Bhalla, C. L. Cocke, and M. Stockli, 1990, “Dielectronic recombination on heliumlike argon,” Phys. Rev. Lett. 64, 633.
- Allan, D. W., 1966, “Statistics of atomic frequency standards,” Proc. IEEE 54, 221.
- Allen, F. I., C. Biedermann, R. Radtke, and G. Fussmann, 2007, “Charge exchange of highly charged argon ions as a function of projectile energy,” J. Phys. Conf. Ser. 58, 188.
- Amaro, P., S. Schlesser, M. Guerra, E.-O. Le Bigot, J.-M. Isac, P. Travers, J. P. Santos, C. I. Szabo, A. Gumberidze, and P. Indelicato, 2012, “Absolute measurement of the relativistic magnetic dipole transition energy in heliumlike argon,” Phys. Rev. Lett. 109, 043005.
- Amaro, Pedro, Chintan Shah, Rene Steinbrügge, Christian Beilmann, Sven Bernitt, José R. Crespo López-Urrutia, and Stanislav Tashenov, 2017, “State-selective influence of the Breit interaction on the angular distribution of emitted photons following dielectronic recombination,” Phys. Rev. A 95, 022712.
- Andreev, O. V., D. A. Glazov, A. V. Volotka, V. M. Shabaev, and G. Plunien, 2012, “Evaluation of the screened vacuum-polarization corrections to the hyperfine splitting of Li-like bismuth,” Phys. Rev. A 85, 022510.
- Andreev, O. Yu, L. N. Labzowsky, G. Plunien, and G. Soff, 2001, “QED calculation of the interelectron interaction in two- and three-electron ions,” Phys. Rev. A 64, 042513.
- Arianer, J., E. Baron, M. Brient, A. Cabrespine, A. Liebe, A. Sérafini, and T. Ton That, 1975, “Multiply charged ion source,” Nucl. Instrum. Methods 124, 157.
- Arianer, J., and C. Goldstein, 1976, “The Orsay electron beam ion source,” IEEE Trans. Nucl. Sci. 23, 979.
- Artemyev, A. N., T. Beier, G. Plunien, V. M. Shabaev, G. Soff, and V. A. Yerokhin, 1999, “Vacuum-polarization screening corrections to the energy levels of lithiumlike ions,” Phys. Rev. A 60, 45.
- Artemyev, A. N., V. M. Shabaev, M. M. Sysak, V. A. Yerokhin, T. Beierand, G. Plunien, and G. Soff 2003, “Evaluation of the two-photon exchange diagrams for the electron configuration in Li-like ions,” Phys. Rev. A 67, 062506.
- Artemyev, A. N., V. M. Shabaev, I. I. Tupitsyn, G. Plunien, and V. A. Yerokhin, 2007, “QED calculation of the transition energy in boronlike argon,” Phys. Rev. Lett. 98, 173004.
- Artemyev, A. N., V. M. Shabaev, and V. A. Yerokhin, 1995a, “Nuclear recoil corrections to the state energy of hydrogen-like and high-Z lithium-like atoms in all orders in ,” J. Phys. B 28, 5201.
- Artemyev, A. N., V. M. Shabaev, and V. A. Yerokhin, 1995b, “Relativistic nuclear recoil corrections to the energy levels of hydrogenlike and high-Z lithiumlike atoms in all orders in ,” Phys. Rev. A 52, 1884.
- Artemyev, A. N., V. M. Shabaev, V. A. Yerokhin, G. Plunien, and G. Soff, 2005, “QED calculation of the and energy levels in He-like ions,” Phys. Rev. A 71, 062104.
- Arvanitaki, Asimina, Junwu Huang, and Ken Van Tilburg, 2015, “Searching for dilaton dark matter with atomic clocks,” Phys. Rev. D 91, 015015.
- Ashkin, A., 1978, “Trapping of atoms by resonance radiation pressure,” Phys. Rev. Lett. 40, 729.
- Aspect, A., J. Dalibard, A. Heidmann, C. Salomon, and C. Cohen-Tannoudji, 1986, “Cooling atoms with stimulated emission,” Phys. Rev. Lett. 57, 1688.
- Aumayr, F., H. Kurz, D. Schneider, M. A. Briere, J. W. McDonald, C. E. Cunningham, and H. P. Winter, 1993, “Emission of electrons from a clean gold surface induced by slow, very highly charged ions at the image charge acceleration limit,” Phys. Rev. Lett. 71, 1943.
- Back, T. V., H. S. Margolis, P. K. Oxley, J. D. Silver, and E. G. Myers, 1998, “Laser spectroscopy of the transition in beryllium-like argon using the Oxford EBIT,” Hyperfine Interact. 114, 203.
- Barcons, X., et al., 2017, “Athena: Esa’s x-ray observatory for the late 2020s,” Astron. Nachr. 338, 153.
- Barrett, M., et al., 2003, “Sympathetic cooling of and for quantum logic,” Phys. Rev. A 68, 042302.
- Bashkin, S., 1968, “Beam foil spectroscopy,” Appl. Opt. 7, 2341.
- Bechtold, V., N. Chan-Tung, S. Dousson, R. Geller, B. Jacquot, and Y. Jongen, 1980, “ECR ion source for multiply-charged oxygen beams,” Nucl. Instrum. Methods 178, 305.
- Beier, T., L. Dahl, H.-J. Kluge, C. Kozhuharov, W. Quint, and HITRAP Collaboration, 2005, “Trapping ions of hydrogen-like uranium: The HITRAP project at GSI,” Nucl. Instrum. Methods Phys. Res., Sect. B 235, 473.
- Beier, T., P. J. Mohr, H. Persson, and G. Soff, 1998, “Influence of nuclear size on QED corrections in hydrogenlike heavy ions,” Phys. Rev. A 58, 954.
- Beiersdorfer, P., 2003, “Laboratory X-ray astrophysics,” Annu. Rev. Astron. Astrophys. 41, 343.
- Beiersdorfer, P., 2010, “Testing QED and atomic-nuclear interactions with high-Z ions,” J. Phys. B 43, 074032.
- Beiersdorfer, P., 2015, “Highly charged ions in magnetic fusion plasmas: research opportunities and diagnostic necessities,” J. Phys. B 48, 144017.
- Beiersdorfer, P., H. Chen, D. B. Thorn, and E. Träbert, 2005, “Measurement of the two-loop Lamb shift in lithiumlike ,” Phys. Rev. Lett. 95, 233003.
- Beiersdorfer, P., J. Crespo López-Urrutia, V. Decaux, K. Widmann, and P. Neill, 1997, “Polarization spectroscopy of x-ray transitions from beam-excited highly charged ions,” Rev. Sci. Instrum. 68, 1073.
- Beiersdorfer, P., S. R. Elliott, J. Crespo López-Urrutia, and K. Widmann, 1997, “Measurements of nuclear parameters of high- isotopes performed on a high-energy electron beam ion trap,” Nucl. Phys. A 626, 357.
- Beiersdorfer, P., R. E. Olson, G. V. Brown, H. Chen, C. L. Harris, P. A. Neill, L. Schweikhard, S. B. Utter, and K. Widmann, 2000, “X-ray emission following low-energy charge exchange collisions of highly charged ions,” Phys. Rev. Lett. 85, 5090.
- Beiersdorfer, P., A. Osterheld, S. R. Elliott, M. H. Chen, D. Knapp, and K. Reed, 1995, “Structure and Lamb shift of levels in lithiumlike through neonlike ,” Phys. Rev. A 52, 2693.
- Beiersdorfer, P., A. L. Osterheld, V. Decaux, and K. Widmann, 1996, “Observation of lifetime-limited X-ray linewidths in cold highly charged ions,” Phys. Rev. Lett. 77, 5353.
- Beiersdorfer, P., A. L. Osterheld, J. H. Scofield, J. R. Crespo López-Urrutia, and K. Widmann, 1998, “Measurement of QED and hyperfine splitting in the x-ray transition in Li-like ,” Phys. Rev. Lett. 80, 3022.
- Beiersdorfer, P., T. Phillips, V. L. Jacobs, K. W. Hill, M. Bitter, S. von Goeler, and S. M. Kahn, 1993, “High-resolution measurements, line identification, and spectral modeling of K-alpha transitions in Fe XVIII-Fe XXV,” Astrophys. J. 409, 846.
- Beiersdorfer, P., T. W. Phillips, K. L. Wong, R. E. Marrs, and D. A. Vogel, 1992, “Measurement of level-specific dielectronic-recombination cross sections of heliumlike Fe XXV,” Phys. Rev. A 46, 3812.
- Beiersdorfer, P., L. Schweikhard, J. Crespo López-Urrutia, and K. Widmann, 1996, “The magnetic trapping mode of an electron beam ion trap: New opportunities for highly charged ion research,” Rev. Sci. Instrum. 67, 3818.
- Beiersdorfer, P., E. Träbert, G. V. Brown, J. Clementson, D. B. Thorn, M. H. Chen, K. T. Cheng, and J. Sapirstein, 2014, “Hyperfine splitting of the and levels in Li- and Be-like ions of ,” Phys. Rev. Lett. 112, 233003.
- Beiersdorfer, P., et al., 2001, “Hyperfine structure of hydrogenlike thallium isotopes,” Phys. Rev. A 64, 032506.
- Beiersdorfer, P., et al., 2003, “Laboratory simulation of charge exchange-produced X-ray emission from comets,” Science 300, 1558.
- Beiersdorfer, Peter, and Gregory V. Brown, 2015, “Experimental study of the x-ray transitions in the heliumlike isoelectronic sequence: Updated results,” Phys. Rev. A 91, 032514.
- Bekker, H., 2017, private communication.
- Beloy, K., D. R. Leibrandt, and W. M. Itano, 2017, “Hyperfine-mediated electric quadrupole shifts in and ion clocks,” arXiv:1701.09146.
- Berengut, J. C., V. A. Dzuba, and V. V. Flambaum, 2010, “Enhanced laboratory sensitivity to variation of the fine-structure constant using highly-charged ions,” Phys. Rev. Lett. 105, 120801.
- Berengut, J. C., V. A. Dzuba, and V. V. Flambaum, 2011, “Transitions in Zr, Hf, Ta, W, Re, Hg, Ac, and U ions with high sensitivity to variation of the fine-structure constant,” Phys. Rev. A 84, 054501.
- Berengut, J. C., V. A. Dzuba, V. V. Flambaum, and A. Ong, 2011, “Electron-hole transitions in multiply charged ions for precision laser spectroscopy and searching for variations in ,” Phys. Rev. Lett. 106, 210802.
- Berengut, J. C., V. A. Dzuba, V. V. Flambaum, and A. Ong, 2012a, “Highly charged ions with E1, M1, and E2 transitions within laser range,” Phys. Rev. A 86, 022517.
- Berengut, J. C., V. A. Dzuba, V. V. Flambaum, and A. Ong, 2012b, “Optical transitions in highly charged californium ions with high sensitivity to variation of the fine-structure constant,” Phys. Rev. Lett. 109, 070802.
- Berengut, Julian C., et al., 2018, “Probing New Long-Range Interactions by Isotope Shift Spectroscopy,” Phys. Rev. Lett. 120, 091801.
- Berkeland, D. J., J. D. Miller, J. C. Bergquist, W. M. Itano, and D. J. Wineland, 1998, “Minimization of ion micromotion in a Paul trap,” J. Appl. Phys. 83, 5025.
- Bernitt, S., et al., 2012, “An unexpectedly low oscillator strength as the origin of the Fe XVII emission problem,” Nature (London) 492, 225.
- Berry, H. G., 1977, “Beam-foil spectroscopy,” Rep. Prog. Phys. 40, 155.
- Beyer, A., et al., 2017, “The Rydberg constant and proton size from atomic hydrogen,” Science 358, 79.
- Beyer, H. F., R. D. Deslattes, F. Folkmann, and R. E. LaVilla, 1985, “Determination of the Lamb shift in one-electron argon recoil ions,” J. Phys. B 18, 207.
- Beyer, H. F., P. Indelicato, K. D. Finlayson, D. Liesen, and R. D. Deslattes, 1991, “Measurement of the Lamb shift in hydrogenlike nickel,” Phys. Rev. A 43, 223.
- Beyer, H. F., et al., 1995, “Measurement of the ground-state Lamb shift of hydrogenlike uranium at the electron cooler of the ESR,” Z. Phys. D 35, 169.
- Beyer, Heinrich, H.-J. Kluge, and Viatcheslav Shevelko, 1997, X-Ray Radiation of Highly Charged Ions (Springer, Berlin/Heidelberg).
- Bieber, D. J., H. S. Margolis, P. K. Oxley, and J. D. Silver, 1997, “Studies of magnetic dipole transitions in highly charged argon and barium using an electron beam ion trap,” Phys. Scr. T73, 64.
- Biedermann, Christoph, Andreas Förster, Gerd Fußmann, and Rainer Radtke, 1997, “First results from the Berlin EBIT,” Phys. Scr. T73, 360.
- Bjorken, James D., and S. D. Drell, 1964, Relativistic Quantum Mechanics (McGraw-Hill, New York).
- Blatt, S., et al., 2008, “New limits on coupling of fundamental constants to gravity using optical lattice clocks,” Phys. Rev. Lett. 100, 140801.
- Blessenohl, M. A., et al., 2018, “An electron beam ion trap and source for re-acceleration of rare-isotope ion beams at triumf,” Rev. Sci. Instrum. 89, 052401.
- Blundell, S. A., 1992, “Accurate screened QED calculations in high-Z many-electron ions,” Phys. Rev. A 46, 3762.
- Böhm, S, A. Enulescu, T. Fritio, I. Orban, S. Tashenov, and R. Schuch, 2007, “First results from the stockholm electron beam ion trap,” J. Phys. Conf. Ser. 58, 303.
- Bollinger, J. J., J. D. Prestage, Wayne M. Itano, and D. J. Wineland, 1985, “Laser-cooled-atomic frequency standard,” Phys. Rev. Lett. 54, 1000.
- Bosselmann, Ph., U. Staude, D. Horn, K.-H. Schartner, F. Folkmann, A. E. Livingston, and P. H. Mokler, 1999, “Measurements of transition energies in lithiumlike heavy ions. II. Experimental results for Ag and discussion along the isoelectronic series,” Phys. Rev. A 59, 1874.
- Bouchendira, R., P. Cladé, S. Guellati-Khélifa, F. Nez, and F. Biraben, 2011, “New determination of the fine structure constant and test of the quantum electrodynamics,” Phys. Rev. Lett. 106, 080801.
- Brandau, C., et al., 2002, “High Rydberg resonances in dielectronic recombination of ,” Phys. Rev. Lett. 89, 053201.
- Brandau, C., et al., 2003, “Precise determination of the splitting in very heavy lithiumlike ions utilizing dielectronic recombination,” Phys. Rev. Lett. 91, 073202.
- Brenner, G., J. R. Crespo López-Urrutia, S. Bernitt, D. Fischer, R. Ginzel, K. Kubiček, V. Mäckel, P. H. Mokler, M. C. Simon, and J. Ullrich, 2009, “On the transition rate of the Fe X red coronal line,” Astrophys. J. 703, 68.
- Brenner, G., J. R. Crespo López-Urrutia, Z. Harman, P. H. Mokler, and J. Ullrich, 2007, “Lifetime determination of the Fe XIV metastable level,” Phys. Rev. A 75, 032504.
- Brewer, Samuel M., Nicholas D. Guise, and Joseph N. Tan, 2013, “Capture and isolation of highly charged ions in a unitary Penning trap,” Phys. Rev. A 88, 063403.
- Briand, J. P., P. Chevallier, P. Indelicato, K. P. Ziock, and D. D. Dietrich, 1990, “Observation and measurement of transitions of hydrogenlike and heliumlike uranium,” Phys. Rev. Lett. 65, 2761.
- Briand, J. P., J. P. Mossé, P. Indelicato, P. Chevallier, D. Girard-Vernhet, A. Chetioui, M. T. Ramos, and J. P. Desclaux, 1983, “Spectroscopy of hydrogenlike and heliumlike argon,” Phys. Rev. A 28, 1413.
- Briand, J. P., M. Tavernier, P. Indelicato, R. Marrus, and H. Gould, 1983, “High-precision spectroscopic studies of Lyman lines of hydrogenlike iron: A measurement of the Lamb shift,” Phys. Rev. Lett. 50, 832.
- Briand, J. P., M. Tavernier, R. Marrus, and J. P. Desclaux, 1984, “High-precision spectroscopic study of heliumlike iron,” Phys. Rev. A 29, 3143.
- Briand, P., R. Geller, B. Jacquot, and C. Jacquot, 1975, “Nouvelle source d’ions multicharges a hautes performances,” Nucl. Instrum. Methods 131, 407.
- Britton, J., et al., 2006, “A microfabricated surface-electrode ion trap in silicon,” arXiv:quant-ph/0605170.
- Brown, I. G., J. E. Galvin, R. A. MacGill, and R. T. Wright, 1986, “Miniature high current metal ion source,” Appl. Phys. Lett. 49, 1019.
- Brownnutt, M., M. Kumph, P. Rabl, and R. Blatt, 2015, “Ion-trap measurements of electric-field noise near surfaces,” Rev. Mod. Phys. 87, 1419.
- Bruhns, H., J. Braun, K. Kubiček, J. R. Crespo López-Urrutia, and J. Ullrich, 2007, “Testing QED screening and two-loop contributions with He-like ions,” Phys. Rev. Lett. 99, 113001.
- Cadoret, M., E. de Mirandes, P. Cladé, S. Guellati-Khélifa, C. Schwob, F. Nez, L. Julien, and F. Biraben, 2008, “Combination of Bloch oscillations with a Ramsey-Bordé interferometer: New determination of the fine structure constant,” Phys. Rev. Lett. 101, 230801.
- Calmet, Xavier, and Matthias Keller, 2015, “Cosmological evolution of fundamental constants: From theory to experiment,” Mod. Phys. Lett. A 30, 1540028.
- Chantler, C. T., et al., 2012, “Testing three-body quantum electrodynamics with trapped ions: Evidence for a Z-dependent divergence between experiment and calculation,” Phys. Rev. Lett. 109, 153001.
- Chantler, C. T., et al., 2013, “Chantler et al. Reply,” Phys. Rev. Lett. 110, 159302.
- Chen, J.-S., S. M. Brewer, C. W. Chou, D. J. Wineland, D. R. Leibrandt, and D. B. Hume, 2017, “Sympathetic ground state cooling and time-dilation shifts in an optical clock,” Phys. Rev. Lett. 118, 053002.
- Chen, M. H., K. T. Cheng, and W. R. Johnson, 1993, “Relativistic configuration-interaction calculations of triplet states of heliumlike ions,” Phys. Rev. A 47, 3692.
- Cheng, K. T., and M. H. Chen, 2000, “Energy levels of the low-lying states of mid-Z heliumlike ions,” Phys. Rev. A 61, 044503.
- Cheng, K. T., M. H. Chen, W. R. Johnson, and J. Sapirstein, 1994, “Relativistic configuration-interaction calculations for the ground stateand singlet states in heliumlike ions,” Phys. Rev. A 50, 247.
- Cheng, K. T., M. H. Chen, and J. Sapirstein, 2000, “Quantum electrodynamic corrections in high-Z Li-like and Be-like ions,” Phys. Rev. A 62, 054501.
- Cheng, K. T., W. R. Johnson, and J. Sapirstein, 1993, “Lamb-shift calculations for non-Coulomb potentials,” Phys. Rev. A 47, 1817.
- Chiaverini, J., R. B. Blakestad, J. Britton, J. D. Jost, C. Langer, D. Leibfried, R. Ozeri, and D. J. Wineland, 2005, “Surface-electrode architecture for ion-trap quantum information processing,” arXiv:quant-ph/0501147.
- Chin, Cheng, V. V. Flambaum, and M. G. Kozlov, 2009, “Ultracold molecules: new probes on the variation of fundamental constants,” New J. Phys. 11, 055048.
- Chou, C. W., D. B. Hume, J. C. J. Koelemeij, D. J. Wineland, and T. Rosenband, 2010, “Frequency comparison of two high-accuracy optical clocks,” Phys. Rev. Lett. 104, 070802.
- Chou, Chin-wen, Christoph Kurz, David B. Hume, Philipp N. Plessow, David R. Leibrandt, and Dietrich Leibfried, 2017, “Preparation and coherent manipulation of pure quantum states of a single molecular ion,” Nature (London) 545, 203.
- Chu, S., 1998, “The manipulation of neutral particles,” Rev. Mod. Phys. 70, 685.
- Church, D. A., J. Steiger, B. R. Beck, L. Gruber, and J. P. Holder, 1999, “RETRAP: An ion trap for laser spectroscopy of highly-charged ions,” in Trapped charged particles and fundamental physics, AIP Conference Proceedings, Vol. 457 (AIP, Melville) p. 235.
- Chwalla, M., K. Kim, T. Monz, P. Schindler, M. Riebe, C. F. Roos, and R. Blatt, 2007, “Precision spectroscopy with two correlated atoms,” Appl. Phys. B 89, 483.
- Clos, G., M. Enderlein, U. Warring, T. Schaetz, and D. Leibfried, 2014, “Decoherence-Assisted Spectroscopy of a Single Ion,” Phys. Rev. Lett. 112, 113003.
- Cohen-Tannoudji, Claude N, 1998, “Nobel Lecture: Manipulating atoms with photons,” Rev. Mod. Phys. 70, 707.
- Colladay, D., and V. A. Kostelecký, 1998, “Lorentz-violating extension of the standard model,” Phys. Rev. D 58, 116002.
- Crespo López-Urrutia, J. R., 2008, “The visible spectrum of highly charged ions: A window to fundamental physics,” Can. J. Phys. 86, 111.
- Crespo López-Urrutia, J. R., P. Beiersdorfer, D. W. Savin, and K. Widmann, 1996, “Direct observation of the spontaneous emission of the hyperfine transition to in ground state hydrogenlike in an electron beam ion trap,” Phys. Rev. Lett. 77, 826.
- Crespo López-Urrutia, J. R., P. Beiersdorfer, D. W. Savin, and K. Widmann, 1998, “Precision measurement of the lifetime of the metastable level in heliumlike ,” Phys. Rev. A 58, 238.
- Crespo López-Urrutia, J. R., P. Beiersdorfer, and K. Widmann, 2006, “Lifetime of the metastable level in He-like measured with an electron beam ion trap,” Phys. Rev. A 74, 012507.
- Crespo López-Urrutia, J. R., P. Beiersdorfer, K. Widmann, B. B. Birkett, A.-M. Mårtensson-Pendrill, and M. G. H. Gustavsson, 1998, “Nuclear magnetization distribution radii determined by hyperfine transitions in the level of H-like ions and ,” Phys. Rev. A 57, 879.
- Crespo López-Urrutia, J. R., A. Dorn, R. Moshammer, and J. Ullrich, 1999, “The Freiburg electron beam ion trap/source project FreEBIT,” Phys. Scr. T80B, 502.
- Currell, F., and G. Fussmann, 2005, “Physics of electron beam ion traps and sources,” IEEE Trans. Plasma Sci. 33, 1763.
- Currell, Frederick John, et al., 1996, “A new versatile electron-beam ion trap,” J. Phys. Soc. Jpn. 65, 3186.
- Currell, Fred J., 2003, Ed., The Physics of Multiply and Highly Charged Ions, Sources, Applications and Fundamental Processes, Vol. 1 (Springer, New York).
- Czarnecki, Andrzej, and Robert Szafron, 2016, “Light-by-light scattering in the Lamb shift and the bound electron factor,” Phys. Rev. A 94, 060501(R)..
- Dehmelt, H. G., 1968, “Radiofrequency spectroscopy of stored ions I: Storage,” Adv. At. Mol. Phys. 3, 53.
- Delaunay, Cédric, Claudia Frugiuele, Elina Fuchs, and Yotam Soreq, 2017, “Probing new spin-independent interactions through precision spectroscopy in atoms with few electrons,” Phys. Rev. D 96, 115002.
- Delaunay, Cédric, Roee Ozeri, Gilad Perez, and Yotam Soreq, 2017, “Probing atomic Higgs-like forces at the precision frontier,” Phys. Rev. D 96, 093001.
- Delaunay, Cédric, and Yotam Soreq, 2016, “Probing new physics with isotope shift spectroscopy,” arXiv:1602.04838.
- Dent, T., S. Stern, and C. Wetterich, 2008, “Unifying cosmological and recent time variations of fundamental couplings,” Phys. Rev. D 78, 103518.
- Derevianko, A., 2016, “Atomic clocks and dark-matter signatures,” J. Phys. Conf. Ser. 723, 012043.
- Derevianko, A., V. A. Dzuba, and V. V. Flambaum, 2012, “Highly charged ions as a basis of optical atomic clockwork of exceptional accuracy,” Phys. Rev. Lett. 109, 180801.
- Derevianko, A., and M. Pospelov, 2014, “Hunting for topological dark matter with atomic clocks,” Nat. Phys. 10, 933.
- Deslattes, R. D., H. F. Beyer, and F. Folkmann, 1984, “Precision x-ray wavelength measurements in helium-like argon recoil ions,” J. Phys. B 17, L689.
- Dicke, R. H., 1953, “The Effect of Collisions upon the Doppler Width of Spectral Lines,” Phys. Rev. 89, 472.
- Dilling, J., et al., 2006, “Mass measurements on highly charged radioactive ions, a new approach to high precision with TITAN,” Int. J. Mass Spectrom. 251, 198.
- Doležal, M., et al., 2015, “Analysis of thermal radiation in ion traps for optical frequency standards,” Metrologia 52, 842.
- Donets, E. D., 1967, “Avtorskoe svidetelstvo USSR, N248860 from 16.03.1967,” Bull. OIPOTZ N24, 65 (in Russian).
- Donets, E. D., 1985, “Electron beam ion sources and associated physics at JINR,” Nucl. Instrum. Methods Phys. Res., Sect. B 9, 522.
- Donets, E. D., 1990, “Electron beam ion sources and their development at JINR (invited),” Rev. Sci. Instrum. 61, 225.
- Donets, E. D., and A. I. Pikin, 1975, J. Tech. Phys. 45, 2373 (in Russian).
- Draganič, I., J. R. Crespo López-Urrutia, R. DuBois, S. Fritzsche, V. M. Shabaev, R. Soria Orts, I. I. Tupitsyn, Y. Zou, and J. Ullrich, 2003, “High precision wavelength measurements of QED-sensitive forbidden transitions in highly charged argon ions,” Phys. Rev. Lett. 91, 183001.
- Drake, G. W. F., 1979, “Unified relativistic theory for and frequencies and transition rates in heliumlike ions,” Phys. Rev. A 19, 1387..
- Drake, G. W. F., 1988, “Theoretical energies for the and 2 states of the helium isoelectronic sequence up to ,” Can. J. Phys. 66, 586.
- Drake, G. W. F., 2002, “Progress in helium fine-structure calculations and the fine-structure constant,” Can. J. Phys. 80, 1195.
- Drake, G. W. F., and Z.-C. Yan, 2008, “High-precision spectroscopy as a test of quantum electrodynamics in light atomic systems,” Can. J. Phys. 86, 45.
- Drakoudis, A., M. Söllner, and G. Werth, 2006, “Instabilities of ion motion in a linear Paul trap,” Int. J. Mass Spectrom. 252, 61.
- Drullinger, R. E., D. J. Wineland, and J. C. Bergquist, 1980, “High-resolution optical spectra of laser cooled ions,” Appl. Phys. 22, 365.
- Dubé, P., A. Madej, J. Bernard, L. Marmet, J.-S. Boulanger, and S. Cundy, 2005, “Electric quadrupole shift cancellation in single-ion optical frequency standards,” Phys. Rev. Lett. 95, 033001.
- Dubé, Pierre, Alan A. Madej, Maria Tibbo, and John E. Bernard, 2014, “High-accuracy measurement of the differential scalar polarizability of a clock using the time-dilation effect,” Phys. Rev. Lett. 112, 173002.
- Dubé, Pierre, Alan A. Madej, Zichao Zhou, and John E. Bernard, 2013, “Evaluation of systematic shifts of the single-ion optical frequency standard at the level,” Phys. Rev. A 87, 023806.
- Dumont, V., and J. K. Webb, 2017, “Modelling long-range wavelength distortions in quasar absorption echelle spectra,” Mon. Not. R. Astron. Soc. 468, 1568.
- Dzuba, V., V. Flambaum, and M. Marchenko, 2003, “Relativistic effects in Sr, Dy, Yb II, and Yb III and search for variation of the fine-structure constant,” Phys. Rev. A 68, 022506..
- Dzuba, V. A., A. Derevianko, and V. V. Flambaum, 2012a, “High-precision atomic clocks with highly charged ions: Nuclear-spin-zero -shell ions,” Phys. Rev. A 86, 054501..
- Dzuba, V. A., A. Derevianko, and V. V. Flambaum, 2012b, “Ion clock and search for the variation of the fine-structure constant using optical transitions in and ,” Phys. Rev. A 86, 054502.
- Dzuba, V. A., A. Derevianko, and V. V. Flambaum, 2012, “High-precision atomic clocks with highly charged ions: Nuclear-spin-zero -shell ions,” Phys. Rev. A 86, 054501; 87, 029906(E) (2013).
- Dzuba, V. A., and V. V. Flambaum, 2009, “Atomic calculations and search for variation of the fine-structure constant in quasar absorption spectra,” Can. J. Phys. 87, 15.
- Dzuba, V. A., and V. V. Flambaum, 2015, “Highly charged ions for atomic clocks and search for variation of the fine structure constant,” Hyperfine Interact. 236, 79.
- Dzuba, V. A., and V. V. Flambaum, 2016, “Hyperfine-induced electric dipole contributions to the electric octupole and magnetic quadrupole atomic clock transitions,” Phys. Rev. A 93, 052517.
- Dzuba, V. A., V. V. Flambaum, M. G. Kozlov, and M. Marchenko, 2002, “ dependence of transition frequencies for ions Si II, Cr II, Fe II, Ni II and Zn II,” Phys. Rev. A 66, 022501.
- Dzuba, V. A., V. V. Flambaum, and Hidetoshi Katori, 2015, “Optical clock sensitive to variation of the fine structure constant based on the ion,” Phys. Rev. A 91, 022119.
- Dzuba, V. A., V. V. Flambaum, and M. G. Kozlov, 1996, “Combination of the many body perturbation theory with configuration interaction method,” Phys. Rev. A 54, 3948.
- Dzuba, V. A., V. V. Flambaum, M. S. Safronova, S. G. Porsev, T. Pruttivarasin, M. A. Hohensee, and H. Häffner, 2016, “Strongly enhanced effects of Lorentz symmetry violation in entangled ions,” Nat. Phys. 12, 465.
- Dzuba, V. A., M. S. Safronova, U. I. Safronova, and V. V. Flambaum, 2015, “Actinide ions for testing the spatial -variation hypothesis,” Phys. Rev. A 92, 060502.
- Dzuba, V. A., V. V. Flambaum, and J. K. Webb, 1999, “Calculations of the relativistic effects in many-electron atoms and space-time variation of fundamental constants,” Phys. Rev. A 59, 230.
- Edlén, B., 1943, “Die Deutung der Emissionslinien im Spektrum der Sonnenkorona,” Z. Astrophys. 22, 30 [http://adsabs.harvard.edu/abs/1943ZA.....22...30E].
- Edlén, Bengt, 1947, “Spectra of highly ionized atoms,” Physica (Utrecht) 13, 545.
- Edlén, Bengt, 1984, “Forbidden lines in hot plasmas,” Phys. Scr. T8, 5.
- Eides, Michael I., Howard Grotch, and Valery A. Shelyuto, 2001, “Theory of light hydrogenlike atoms,” Phys. Rep. 342, 63.
- Eliav, E., U. Kaldor, and Y. Ishikawa, 1994, “Relativistic coupled cluster method based on Dirac-Coulomb-Breit wavefunctions. Ground state energies of atoms with two to five electrons,” Chem. Phys. Lett. 222, 82.
- Elliott, S. R., P. Beiersdorfer, and M. H. Chen, 1996, “Trapped-ion technique for measuring the nuclear charge radii of highly charged radioactive isotopes,” Phys. Rev. Lett. 76, 1031.
- Elliott, S. R., and R. E. Marrs, 1995, “A wire probe as an ion-source for an electron-beam ion-trap,” Nucl. Instrum. Methods Phys. Res., Sect. B 100, 529.
- Epp, S. W., 2013, “Comment on “Testing three-body quantum electrodynamics with trapped ions: Evidence for a Z-dependent divergence between experiment and calculation”,” Phys. Rev. Lett. 110, 159301.
- Epp, S. W., et al., 2007, “Soft x-ray laser spectroscopy on trapped highly charged ions at flash,” Phys. Rev. Lett. 98, 183001.
- Epp, S. W., et al., 2010, “X-ray laser spectroscopy of highly charged ions at FLASH,” J. Phys. B 43, 194008.
- Epp, S. W., et al. 2015, “Single-photon excitation of K in heliumlike : Results supporting quantum electrodynamics predictions,” Phys. Rev. A 92, 020502.
- Ettenauer, S., et al., 2011, “First use of high charge states for mass measurements of short-lived nuclides in a Penning trap,” Phys. Rev. Lett. 107, 272501.
- Falke, S., M. Misera, U. Sterr, and C. Lisdat, 2012, “Delivering pulsed and phase stable light to atoms of an optical clock,” Appl. Phys. B 107, 301.
- Feili, D., Ph. Bosselmann, K.-H. Schartner, F. Folkmann, A. E. Livingston, E. Träbert, X. Ma, and P. H. Mokler, 2000, “Measurements of transition energies in lithiumlike heavy ions. III. Experimental results for and ,” Phys. Rev. A 62, 022501.
- Feldman, U., J. F. Seely, and A. K. Bhatia, 1985, “Spectral line intensities for the O I, N I, C I, B I, and Be I isoelectronic sequences, ,” At. Data Nucl. Data Tables 32, 305.
- Feldman, Uri, Marvin Swartz, and Leonard Cohen, 1967, “Vacuum ultraviolet source,” Rev. Sci. Instrum. 38, 1372.
- Ficek, Filip, Derek F. Jackson Kimball, Mikhail G. Kozlov, Nathan Leefer, Szymon Pustelny, and Dmitry Budker, 2017, “Constraints on exotic spin-dependent interactions between electrons from helium fine-structure spectroscopy,” Phys. Rev. A 95, 032505.
- Finkenthal, M., R. E. Bell, H. W. Moos, and TFR Group, 1984, “Forbidden (M1) lines in the spectra of titanium, vanadium, chromium, iron, and nickel observed in a tokamak plasma,” J. Appl. Phys. 56, 2012.
- Fischer, Charlotte Froese, Georgio Tachiev, Gediminas Gaigalas, and Michel R. Godefroid, 2007, “An MCHF atomic-structure package for large-scale calculations,” Comput. Phys. Commun. 176, 559.
- Flambaum, V. V., A. J. Geddes, and A. V. Viatkina, 2018, “Isotope shift, nonlinearity of king plots, and the search for new particles,” Phys. Rev. A 97, 032510.
- Flambaum, V. V., and J. S. Ginges, 2005, “Radiative potential and calculations of QED radiative corrections to energy levels and electromagnetic amplitudes in many-electron atoms,” Phys. Rev. A 72, 052115.
- Flowers, J. L., H. A. Klein, D. J. E. Knight, and H. S. Margolis, 2001, “Hydrogenic Systems for Calculable Frequency Standards: Status and Options,” NPL Report No. CBTLM 11.
- Fritzsche, S., C. Froese Fischer, and G. Gaigalas, 2002, “RELCI: A program for relativistic configuration interaction calculations,” Comput. Phys. Commun. 148, 103.
- Frugiuele, Claudia, Elina Fuchs, Gilad Perez, and Matthias Schlaffer, 2016, “Atomic probes of new physics,” arXiv:1602.04822.
- Fu, Y., K. Yao, B. Wei, D. Lu, R. Hutton, and Y. Zou, 2010, “Overview of the Shanghai EBIT,” J. Instrum. 5, C08011.
- Gebert, Florian, Yong Wan, Fabian Wolf, Christopher N. Angstmann, Julian C. Berengut, and Piet O. Schmidt, 2015, “Precision isotope shift measurements in calcium ions using quantum logic detection schemes,” Phys. Rev. Lett. 115, 053003.
- Geller, R., 1970, “New high intensity ion source with very low extraction voltage,” Appl. Phys. Lett. 16, 401.
- Ghosh, Pradip K, 1996, Ion Traps (Clarendon Press, Oxford/New York), 1st ed.
- Gillaspy, J. D., 2001, “Highly charged ions,” J. Phys. B 34, R39.
- Gillaspy, J. D., 2014, “Precision spectroscopy of trapped highly charged heavy elements: pushing the limits of theory and experiment,” Phys. Scr. 89, 114004.
- Gillaspy, J. D., et al., 1995, “Overview of the electron beam ion trap program at NIST,” Phys. Scr. T59, 392.
- Ginges, J. S. M., and J. C. Berengut, 2016, “QED radiative corrections and many-body effects in atoms: the Uehling potential and shifts in alkali metals,” J. Phys. B 49, 095001.
- Godun, R. M., P. B. R. Nisbet-Jones, J. M. Jones, S. A. King, L. A. M. Johnson, H. S. Margolis, K. Szymaniec, S. N. Lea, K. Bongs, and P. Gill, 2014, “Frequency ratio of two optical clock transitions in and constraints on the time variation of fundamental constants,” Phys. Rev. Lett. 113, 210801.
- Gohle, Christoph, Thomas Udem, Maximilian Herrmann, Jens Rauschenberger, Ronald Holzwarth, Hans Schuessler, Ferenc Krausz, and Theodor Hänsch, 2005, “A frequency comb in the extreme ultraviolet,” Nature (London) 436, 234.
- González Martínez, A. J., et al., 2005, “State-selective quantum interference observed in the recombination of highly charged mercury ions in an electron beam ion trap,” Phys. Rev. Lett. 94, 203201.
- Grotrian, W., 1939, “Zur frage der deutung der linien im spektrum der sonnenkorona,” Naturwissenschaften 27, 214.
- Gruber, L., J. Steiger, J. P. Holder, B. R. Beck, H. E. DeWitt, J. Glassman, J. W. McDonald, D. A. Church, and D. Schneider, 2001, “Evidence for highly charged ion Coulomb crystallization in multicomponent strongly coupled plasmas,” Phys. Rev. Lett. 86, 636.
- Guéna, J., et al., 2017, “First international comparison of fountain primary frequency standards via a long distance optical fiber link,” Metrologia 54, 348.
- Guise, Nicholas D., Joseph N. Tan, Samuel M. Brewer, Charlotte F. Fischer, and Per Jönsson, 2014, “Measurement of the Kr XVIII lifetime at low energy in a unitary Penning trap,” Phys. Rev. A 89, 040502..
- Gumberidze, A., et al., 2004, “Electron-electron interaction in strong electromagnetic fields: The two-electron contribution to the ground-state energy in He-like uranium,” Phys. Rev. Lett. 92, 203004.
- Gumberidze, A., et al., 2005, “Quantum electrodynamics in strong electric fields: The ground-state Lamb shift in hydrogenlike uranium,” Phys. Rev. Lett. 94, 223001.
- Gustavsson, Martin G. H., 1999, “Hyperfine Structure in Highly Charged Hydrogen-Like Ions—Investigations of the nuclear charge and magnetization distributions,” Ph.D. thesis (Göteborg University).
- Gustavsson, Martin G. H., and Ann-Marie Mårtensson-Pendrill, 1998, “Need for remeasurements of nuclear magnetic dipole moments,” Phys. Rev. A 58, 3611.
- Hall, John, 2006, “Nobel Lecture: Defining and measuring optical frequencies,” Rev. Mod. Phys. 78, 1279.
- Hanneke, D., S. Fogwell, and G. Gabrielse, 2008, “New measurement of the electron magnetic moment and the fine structure constant,” Phys. Rev. Lett. 100, 120801.
- Hänsch, T. W., and A. L. Schawlow, 1975, “Cooling of gases by laser radiation,” Opt. Commun. 13, 68.
- Hänsch, Theodor, 2006, “Nobel Lecture: Passion for precision,” Rev. Mod. Phys. 78, 1297.
- Harilal, S. S., B. O’Shay, M. S. Tillack, Y. Tao, R. Paguio, A. Nikroo, and C. A. Back, 2006, “Spectral control of emissions from tin doped targets for extreme ultraviolet lithography,” J. Phys. D 39, 484.
- Heilig, K., and A. Steudel, 1974, “Changes in mean-square nuclear charge radii from optical isotope shifts,” At. Data Nucl. Data Tables 14, 613.
- Hempel, C., B. P. Lanyon, P. Jurcevic, R. Gerritsma, R. Blatt, and C. F. Roos, 2013, “Entanglement-enhanced detection of single-photon scattering events,” Nat. Photonics 7, 630.
- Herschbach, N., K. Pyka, J. Keller, and T. E. Mehlstäubler, 2012, “Linear Paul trap design for an optical clock with Coulomb crystals,” Appl. Phys. B 107, 891.
- Hite, D. A., et al., 2012, “100-Fold Reduction of Electric-Field Noise in an Ion Trap Cleaned with In Situ Argon-Ion-Beam Bombardment,” Phys. Rev. Lett. 109, 103001.
- Hitomi Collaboration, 2016, “The quiescent intracluster medium in the core of the perseus cluster,” Nature (London) 535, 117.
- Hitomi Collaboration, 2017, “Solar abundance ratios of the iron-peak elements in the Perseus cluster,” Nature (London) 551, 478.
- Hobein, M., A. Solders, M. Suhonen, Y. Liu, and R. Schuch, 2011, “Evaporative cooling and coherent axial oscillations of highly charged ions in a penning trap,” Phys. Rev. Lett. 106, 013002.
- Hohensee, M. A., N. Leefer, D. Budker, C. Harabati, V. A. Dzuba, and V. V. Flambaum, 2013, “Limits on violations of Lorentz symmetry and the Einstein equivalence principle using radio-frequency spectroscopy of atomic dysprosium,” Phys. Rev. Lett. 111, 050401.
- Hoogerheide, S. Fogwell, and J. N. Tan, 2015, “A miniature EBIT with ion extraction for isolating highly charged ions,” J. Phys. Conf. Ser. 583, 012044.
- Hosaka, K., D. N. Crosby, K. Gaarde-Widdowson, C. J. Smith, J. D. Silver, T. Kinugawa, S. Ohtani, and E. G. Myers, 2004, “Laser spectroscopy of hydrogenlike nitrogen in an electron beam ion trap,” Phys. Rev. A 69, 011802.
- Hu, Zhimin, Xiaoying Han, Yueming Li, Daiji Kato, Xiaomin Tong, and Nobuyuki Nakamura, 2012, “Experimental demonstration of the Breit interaction which dominates the angular distribution of x-ray emission in dielectronic recombination,” Phys. Rev. Lett. 108, 073002.
- Huang, Y., H. Guan, W. Bian, L. Ma, K. Liang, T. Li, and K. Gao, 2017, “A comparison of two single-ion optical frequency standards at the level and an evaluation of systematic shifts,” Appl. Phys. B 123, 166.
- Hubac, I., and P. Neogrady, 1994, “Size-consistent Brillowin-Wigner perturbation theory with exponentially parametrized wave function: Brillowin-Wigner coupled-cluster theory,” Phys. Rev. A 50, 4558.
- Hume, D., T. Rosenband, and D. Wineland, 2007, “High-fidelity adaptive qubit detection through repetitive quantum nondemolition measurements,” Phys. Rev. Lett. 99, 120502.
- Huntemann, N., B. Lipphardt, M. Okhapkin, Chr. Tamm, E. Peik, A. V. Taichenachev, and V. I. Yudin, 2012, “Generalized Ramsey Excitation Scheme with Suppressed Light Shift,” Phys. Rev. Lett. 109, 213002.
- Huntemann, N., B. Lipphardt, C. Tamm, V. Gerginov, S. Weyers, and E. Peik, 2014, “Improved limit on a temporal variation of from comparisons of and Cs atomic clocks,” Phys. Rev. Lett. 113, 210802.
- Huntemann, N., C. Sanner, B. Lipphardt, Chr. Tamm, and E. Peik, 2016, “Single-ion atomic clock with systematic uncertainty,” Phys. Rev. Lett. 116, 063001.
- Indelicato, P., J. P. Briand, M. Tavernier, and D. Liesen, 1986, “Experimental study of relativistic correlations and QED effects in heliumlike krypton ions,” Z. Phys. D 2, 249.
- Indelicato, P., and J. P. Desclaux, 1990, “Multiconfiguration Dirac-Fock calculations of transition energies with QED corrections in three-electron ions,” Phys. Rev. A 42, 5139.
- Indelicato, P., O. Gorveix, and J. P. Desclaux, 1987, “Multiconfigurational Dirac-Fock studies of two-electron ions. II. Radiative corrections and comparison with experiment,” J. Phys. B 20, 651.
- Indelicato, Paul, and Peter J. Mohr, 2017, “Introduction to bound-state quantum electrodynamics,” in Handbook of Relativistic Quantum Chemistry, edited by Wenjian Liu (Springer, Berlin/Heidelberg), p. 131.
- Itano, W. M., 2000, “External-field shifts of the optical frequency standard,” J. Res. Natl. Inst. Stand. Technol. 105, 829.
- Itano, W. M., J. C. Bergquist, J. J. Bollinger, J. M. Gilligan, D. J. Heinzen, F. L. Moore, M. G. Raizen, and D. J. Wineland, 1993, “Quantum projection noise: Population fluctuations in two-level systems,” Phys. Rev. A 47, 3554.
- Itano, Wayne M., L. L. Lewis, and D. J. Wineland, 1982, “Shift of hyperfine splittings due to blackbody radiation,” Phys. Rev. A 25, 1233.
- Iwamae, A., M. Atake, A. Sakaue, R. Katai, M. Goto, and S. Morita, 2007, “Polarization separated Zeeman spectra from magnetic dipole transitions in highly charged argon in the large helical device,” Phys. Plasmas 14, 042504.
- James, D. F. V., 1998, “Quantum dynamics of cold trapped ions with application to quantum computation,” Appl. Phys. B 66, 181.
- Johnson, W. R., 2007, Atomic Structure Theory. Lectures on Atomic Physics (Springer, Berlin/Heidelberg).
- Johnson, W. R., K. T. Cheng, and M. H. Chen, 2004, “Chapter 3: Accurate relativistic calculations including QED contributions for few-electron systems,” Theor. Comput. Chem. 14, 120.
- Johnson, W. R., D. R. Plante, and J. Sapirstein, 1995, “Relativistic calculations of transition amplitudes in the helium isoelectronic sequence,” Adv. At. Mol. Opt. Phys. 35, 255.
- Johnson, W. R., and G. Soff, 1985, “The Lamb shift in hydrogen-like atoms, ,” At. Data Nucl. Data Tables 33, 405.
- Jones, R. J., Kevin Moll, Michael Thorpe, and Jun Ye, 2005, “Phase-coherent frequency combs in the vacuum ultraviolet via high-harmonic generation inside a femtosecond enhancement cavity,” Phys. Rev. Lett. 94, 193201.
- Joshi, Y. N., A. N. Ryabtsev, and S. S. Churilov, 2001, “Nine-times ionized cerium spectrum: Ce X,” Phys. Scr. 64, 326.
- Karpeshin, F. F., and M. B. Trzhaskovskaya, 2015, “The theory of the Bohr-Weisskopf effect in the hyperfine structure,” Nucl. Phys. A 941, 66.
- Karshenboim, S. G., 2005, “Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants,” Phys. Rep. 422, 1.
- Kaufman, J. R., V. Kaufman, J. Sugar, T. L. Pittman, and W. L. Rowan, 1983, “Magnetic-dipole transitions observed in highly ionized Ga, Ge, As, and Kr,” Phys. Rev. A 27, 1721.
- Keller, J., T. Burgermeister, D. Kalincev, J. Kiethe, and T. E. Mehlstäubler, 2016, “Evaluation of trap-induced systematic frequency shifts for a multi-ion optical clock at the level,” J. Phys. Conf. Ser. 723, 012027.
- Keller, J., D. Kalincev, T. Burgermeister, A. Kulosa, A. Didier, T. Nordmann, J. Kiethe, and T. E. Mehlstäubler, 2017, “Optical clocks based on linear ion chains with high stability and accuracy,” arXiv:1712.02335.
- Keller, J., H. L. Partner, T. Burgermeister, and T. E. Mehlstäubler, 2015, “Precise determination of micromotion for trapped-ion optical clocks,” J. Appl. Phys. 118, 104501.
- Kentsch, U., G. Zschornack, F. Grossmann, V. P. Ovsyannikov, F. Ullmann, S. Fritzsche, and A. Surzhykov, 2002, “Production of bare argon, manganese, iron and nickel nuclei in the Dresden EBIT,” Nucl. Instrum. Methods Phys. Res., Sect. B 187, 238.
- Khodja, H., and J. P. Briand, 1997, “A warm electron beam ion trap: The micro-EBIT,” Phys. Scr. T71, 113.
- Kielpinski, D., B. E. King, C. J. Myatt, C. A. Sackett, Q. A. Turchette, W. M. Itano, C. Monroe, D. J. Wineland, and W. H. Zurek, 2000, “Sympathetic cooling of trapped ions for quantum logic,” Phys. Rev. A 61, 032310.
- Kielpinski, D., V. Meyer, M. A. Rowe, C. A. Sackett, W. M. Itano, C. Monroe, and D. J. Wineland, 2001, “A Decoherence-Free Quantum Memory Using Trapped Ions,” Science 291, 1013.
- Kim, Y.-K., D. H. Baik, P. Indelicato, and J. P. Desclaux, 1991, “Resonance transition energies of Li-, Na-, and Cu-like ions,” Phys. Rev. A 44, 148.
- King, W. H., 1963, “Comments on the article “Peculiarities of the isotope shift in the samarium spectrum”,” J. Opt. Soc. Am. 53, 638.
- Klaft, I., et al., 1994, “Precision laser spectroscopy of the ground state hyperfine splitting of hydrogenlike ,” Phys. Rev. Lett. 73, 2425.
- Kluge, H. J., T. Beier, K. Blaum, L. Dahl, S. Eliseev, John R. Sabin, Erkki J. Brandas, Ingvar Lindgren, Eva Lindroth, and Sten Salomonson, 2008, “HITRAP: A facility at GSI for highly charged ions,” Adv. Quantum Chem. 53, 83.
- Knapp, D. A., P. Beiersdorfer, M. H. Chen, J. H. Scofield, and D. Schneider, 1995, “Observation of interference between dielectronic recombination and radiative recombination in highly charged uranium ions,” Phys. Rev. Lett. 74, 54.
- Knapp, D. A., R. E. Marrs, M. A. Levine, C. L. Bennett, M. H. Chen, J. R. Henderson, M. B. Schneider, and J. H. Scofield, 1989, “Dielectronic recombination of heliumlike nickel,” Phys. Rev. Lett. 62, 2104.
- Köhler, F., S. Sturm, A. Kracke, G. Werth, W. Quint, and K. Blaum, 2015, “The electron mass from -factor measurements on hydrogen-like carbon ,” J. Phys. B 48, 144032.
- Köhler, F., et al., 2016, “Isotope dependence of the Zeeman effect in lithium-like calcium,” Nat. Commun. 7, 10246.
- Konovalova, E. A., and M. G. Kozlov, 2015, “Correlation, Breit, and QED effects in spectra of Mg-like ions,” Phys. Rev. A 92, 042508.
- Kostelecký, V. A., and C. D. Lane, 1999, “Constraints on Lorentz violation from clock-comparison experiments,” Phys. Rev. D 60, 116010.
- Kostelecký, V. A., and M. Mewes, 2002, “Signals for Lorentz violation in electrodynamics,” Phys. Rev. D 66, 056005.
- Kostelecký, V. A., and N. Russell, 2011, “Data tables for Lorentz and violation,” Rev. Mod. Phys. 83, 11.
- Kostelecký, V. A., and N. Russell, 2017, “Data tables for Lorentz and violation,” arXiv:0801.0287v10.
- Kotochigova, S. A., and I. I. Tupitsyn, 1987, “Theoretical investigation of rare-earth and barium spectra by the Hartree-Fock-Dirac method,” J. Phys. B 20, 4759.
- Kozhedub, Y. S., O. V. Andreev, V. M. Shabaev, I. I. Tupitsyn, C. Brandau, C. Kozhuharov, G. Plunien, and T. Stöhlker, 2008, “Nuclear deformation effect on the binding energies in heavy ions,” Phys. Rev. A 77, 032501.
- Kozlov, A., V. A. Dzuba, and V. V. Flambaum, 2013, “Transition amplitudes, polarizabilities, and energy levels within optical wavelength of highly charged ions and ,” Phys. Rev. A 88, 062509.
- Kozlov, M. G., 2004, “Precision calculations of atoms with few valence electrons,” Int. J. Quantum Chem. 100, 336.
- Kozlov, M. G., I. I. Tupitsyn, and D. Reimers, 2009, “Sensitivity coefficients to alpha-variation for fine-structure transitions in Carbon-like ions,” Phys. Rev. A 79, 022117.
- Kozlov, M. G., and S. A. Levshakov, 2013, “Microwave and submillimeter molecular transitions and their dependence on fundamental constants,” Ann. Phys. (Berlin) 525, 452.
- Kozlov, M. G., S. G. Porsev, M. S. Safronova, and I. I. Tupitsyn, 2015, “CI-MBPT: A package of programs for relativistic atomic calculations based on a method combining configuration interaction and many-body perturbation theory,” Comput. Phys. Commun. 195, 199.
- Kozlov, M. G., M. S. Safronova, S. G. Porsev, and I. I. Tupitsyn, 2016, “Effective three-particle forces in polyvalent atoms,” Phys. Rev. A 94, 032512.
- Kubiček, K., J. Braun, H. Bruhns, J. R. Crespo López-Urrutia, P. H. Mokler, and J. Ullrich, 2012, “High-precision laser-assisted absolute determination of X-ray diffraction angles,” Rev. Sci. Instrum. 83, 013102.
- Kubiček, K., P. H. Mokler, V. Mäckel, J. Ullrich, and J. R. Crespo López-Urrutia, 2014, “Transition energy measurements in hydrogenlike and heliumlike ions strongly supporting bound-state QED calculations,” Phys. Rev. A 90, 032508.
- Labaziewicz, Jaroslaw, Yufei Ge, Paul Antohi, David Leibrandt, Kenneth Brown, and Isaac Chuang, 2008, “Suppression of heating rates in cryogenic surface-electrode ion traps,” Phys. Rev. Lett. 100, 013001.
- Labzowsky, Leonti, Andrei Nefiodov, Günter Plunien, Gerhard Soff, and Pekka Pyykkö, 1997, “Vacuum-polarization corrections to the hyperfine-structure splitting of highly charged ions,” Phys. Rev. A 56, 4508.
- Lapierre, A., J. R. Crespo López-Urrutia, J. Braun, G. Brenner, H. Bruhns, D. Fischer, A. J. González Martínez, V. Mironov, C. Osborne, and G. Sikler, 2006, “Lifetime measurement of the Ar XIV metastable level at the Heidelberg electron-beam ion trap,” Phys. Rev. A 73, 052507.
- Lapierre, A., et al., 2005, “Relativistic electron correlation, quantum electrodynamics, and the lifetime of the level in boronlike argon,” Phys. Rev. Lett. 95, 183001.
- Larson, D. J., J. C. Bergquist, J. J. Bollinger, Wayne M. Itano, and D. J. Wineland, 1986, “Sympathetic cooling of trapped ions: A laser-cooled two-species nonneutral ion plasma,” Phys. Rev. Lett. 57, 70.
- Lechner, Regina, Christine Maier, Cornelius Hempel, Petar Jurcevic, Ben P. Lanyon, Thomas Monz, Michael Brownnutt, Rainer Blatt, and Christian F. Roos, 2016, “Electromagnetically-induced-transparency ground-state cooling of long ion strings,” Phys. Rev. A 93, 053401.
- Leefer, N., C. T. M. Weber, A. Cingöz, J. R. Torgerson, and D. Budker, 2013, “New limits on variation of the fine-structure constant using atomic dysprosium,” Phys. Rev. Lett. 111, 060801.
- Lennarz, A., et al., 2014, “In-trap spectroscopy of charge-bred radioactive ions,” Phys. Rev. Lett. 113, 082502.
- Leopold, T., L. Schmöger, S. Feuchtenbeiner, C. Grebing, P. Micke, N. Scharnhorst, I. D. Leroux, J. R. Crespo López-Urrutia, and P. O. Schmidt, 2016, “A tunable low-drift laser stabilized to an atomic reference,” Appl. Phys. B 122, 236.
- Leroux, Ian D., Nils Scharnhorst, Stephan Hannig, Johannes Kramer, Lennart Pelzer, Mariia Stepanova, and Piet O. Schmidt, 2017, “On-line estimation of local oscillator noise and optimisation of servo parameters in atomic clocks,” Metrologia 54, 307.
- Lett, Paul D., Richard N. Watts, Christoph I. Westbrook, William D. Phillips, Phillip L. Gould, and Harold J. Metcalf, 1988, “Observation of atoms laser cooled below the doppler limit,” Phys. Rev. Lett. 61, 169.
- Levine, M. A., R. E. Marrs, J. R. Henderson, D. A. Knapp, and M. B. Schneider, 1988, “The electron beam ion trap: A new instrument for atomic physics measurements,” Phys. Scr. T22, 157.
- Levine, M. A., et al., 1989, “The use of an electron beam ion trap in the study of highly charged ions,” Nucl. Instrum. Methods Phys. Res., Sect. B 43, 431.
- Levine, Morton A., R. E. Marrs, and Robert W. Schmieder, 1985, “Measurement of instabilities and ion heating in an electron beam ion source,” Nucl. Instrum. Methods Phys. Res., Sect. A 237, 429.
- Liang, G. Y., et al., 2009, “Experimental investigations of ion charge distributions, effective electron densities, and electron-ion cloud overlap in electron beam ion trap plasma using extreme-ultraviolet spectroscopy,” Astrophys. J. 702, 838.
- Lin, Y., J. P. Gaebler, T. R. Tan, R. Bowler, J. D. Jost, D. Leibfried, and D. J. Wineland, 2013, “Sympathetic electromagnetically-induced-transparency laser cooling of motional modes in an ion chain,” Phys. Rev. Lett. 110, 153002.
- Lindgren, I., B. Asen, S. Salomonson, and A. M. Mårtensson-Pendrill, 2001, “QED procedure applied to the quasidegenerate fine-structrue levels of He-like ions,” Phys. Rev. A 64, 062505.
- Lindgren, I., H. Persson, and S. Salomonson, 1995, “Full QED calculations of two-photon exchange for heliumlike-systems: Analysis in the Coulomb and Feynman gauges,” Phys. Rev. A 51, 1167.
- Lochmann, Matthias, et al., 2014, “Observation of the hyperfine transition in lithium-like bismuth : Towards a test of QED in strong magnetic fields,” Phys. Rev. A 90, 030501.
- Ludlow, Andrew, Martin Boyd, Jun Ye, E. Peik, and P. O. Schmidt, 2015, “Optical atomic clocks,” Rev. Mod. Phys. 87, 637.
- Machado, J., C. I. Szabo, J. P. Santos, P. Amaro, M. Guerra, A. Gumberidze, G. Bian, J. M. Isac, and P. Indelicato, 2018, “High-precision measurements of transition energies and level widths in He- and Be-like argon ions,” arXiv:1802.05970.
- Mäckel, V., R. Klawitter, G. Brenner, J. R. Crespo López-Urrutia, and J. Ullrich, 2011, “Laser spectroscopy on forbidden transitions in trapped highly charged ions,” Phys. Rev. Lett. 107, 143002.
- Major, Fouad G., Viorica N. Gheorghe, and Günther Werth, 2006, Charged Particle Traps: Physics and Techniques of Charged Particle Field Confinement (Springer-Verlag, Berlin/Heidelberg).
- Marciano, W. J., 1984, Phys. Rev. Lett. 52, 489.
- Marmar, E. S., J. E. Rice, E. Källne, J. Källne, and R. E. LaVilla, 1986, “Precision measurement of the Lamb shift in hydrogenlike argon,” Phys. Rev. A 33, 774.
- Marrs, R. E., 1999, “Self-cooling of highly charged ions during extraction from electron beam ion sources and traps,” Nucl. Instrum. Methods Phys. Res., Sect. B 149, 182.
- Marrs, R. E., P. Beiersdorfer, and D. Schneider, 1994, “The electron-beam ion trap,” Phys. Today 47, 27.
- Marrs, R. E., S. R. Elliott, and D. A. Knapp, 1994, “Production and trapping of hydrogenlike and bare uranium ions in an electron beam ion trap,” Phys. Rev. Lett. 72, 4082.
- Martinson, I., 1989, “The spectroscopy of highly ionised atoms,” Rep. Prog. Phys. 52, 157.
- Matei, D. G., et al., 2017, “ lasers with sub 10 mHz linewidth,” arXiv:1702.04669.
- McDonald, J. W., D. Schneider, M. W. Clark, and D. Dewitt, 1992, “Observation of high electron emission yields following highly charged ion impact (up to ) on surfaces,” Phys. Rev. Lett. 68, 2297.
- Meierfrankenfeld, D., A. Bury, and M. Thoennessen, 2011, “Discovery of scandium, titanium, mercury, and einsteinium isotopes,” At. Data Nucl. Data Tables 97, 134.
- Metcalf, Harold J, and Peter van der Straten, 2007, “Laser cooling and trapping of neutral atoms,” in The Optics Encyclopedia (Wiley-VCH Verlag GmbH & Co. KGaA, Berlin).
- Micke, P., et al., 2018, “The heidelberg compact electron beam ion traps,” Rev. Sci. Instrum. 89, 063109.
- Micke, Peter, Maria Schwarz, Steven A. King, Tobias Leopold, Lisa Schmöger, Julian Stark, Thomas Pfeifer, Piet O. Schmidt, and José R. Crespo López-Urrutia, 2018, “A maintenance-free ultra-low vibration cryogenic system for ion traps and other applications,” to be submitted.
- Mohr, P. J., 1974, “Self-energy radiative corrections in hydrogen-like systems,” Ann. Phys. (N.Y.) 88, 26.
- Mohr, P. J., 1985, “Quantum electrodynamics of high-Z few-electron atoms,” Phys. Rev. A 32, 1949.
- Mohr, P. J., 1992, “Self-energy correction to one-electron energy levels in a strong coulomb field,” Phys. Rev. A 46, 4421.
- Mohr, P. J., D. B. Newell, and B. N. Taylor, 2016, “CODATA recommended values of the fundamental physical constants: 2014,” Rev. Mod. Phys. 88, 035009.
- Mohr, P. J., G. Plunien, and G. Soff, 1998, “QED corrections in heavy atoms,” Phys. Rep. 293, 227.
- Mohr, P. J., and G. Soff, 1993, “Nuclear size correction to the electron self-energy,” Phys. Rev. Lett. 70, 158.
- Mohr, P. J., B. N. Taylor, and D. B. Newell, 2012, “CODATA recommended values of the fundamental physical constants: 2010,” Rev. Mod. Phys. 84, 1527.
- Mokler, P. H., D. H. H. Hoffmann, W. A. Schöfeldt, Z. Stachura, A. Warczak, H. Schmidt-Böcking, and R. Schuch, 1985, “Highly ionized, decelerated heavy ions,” Nucl. Instrum. Methods Phys. Res., Sect. B 10–11, 58.
- Morgan, C. A., F. G. Serpa, E. Takcs, E. S. Meyer, J. D. Gillaspy, J. Sugar, J. R. Roberts, C. M. Brown, and U. Feldman, 1995, “Observation of visible and uv magnetic dipole transitions in highly charged xenon and barium,” Phys. Rev. Lett. 74, 1716.
- Morigi, G., and H. Walther, 2001, “Two-species Coulomb chains for quantum information,” Eur. Phys. J. D 13, 261.
- Motohashi, Kenji, Akihiko Moriya, Hiroyuki Yamada, and Seiji Tsurubuchi, 2000, “Compact electron-beam ion trap using NdFeB permanent magnets,” Rev. Sci. Instrum. 71, 890.
- Nakamura, N., Y. Nakai, Y. Kanai, K. Komaki, and A. Endo, 2004, “Compact electron beam ion source with high-Tc bulk superconductors,” Rev. Sci. Instrum. 75, 3034.
- Nakamura, N., et al., 1997, “An overview of the Tokyo electron beam ion trap,” Phys. Scr. T73, 362.
- Nakamura, Nobuyuki, Daiji Kato, Nozomu Miura, Tetsuro Nakahara, and Shunsuke Ohtani, 2001, “Intensity ratio between Lyman- and - lines of hydrogenlike titanium observed in an electron-beam ion trap,” Phys. Rev. A 63, 024501.
- Nakamura, Nobuyuki, Anthony P. Kavanagh, Hirofumi Watanabe, Hiroyuki A. Sakaue, Yueming Li, Daiji Kato, Fred J. Currell, Xiao-Min Tong, Tsutomu Watanabe, and Shunsuke Ohtani, 2009, “Asymmetric profiles observed in the recombination of : A benchmark for relativistic theories involving interference,” Phys. Rev. A 80, 014503.
- Nakamura, Nobuyuki, Hiroyuki Kikuchi, Hiroyuki Sakaue, and Tetsuya Watanabe, 2008, “Compact electron beam ion trap for spectroscopy of moderate charge state ions,” Rev. Sci. Instrum. 79, 063104.
- Nandy, D. K., and B. K. Sahoo, 2016, “Highly charged , , and ions as promising optical clock candidates for probing variations of the fine-structure constant,” Phys. Rev. A 94, 032504.
- Neuhauser, W., M. Hohenstatt, P. Toschek, and H. Dehmelt, 1978, “Optical-sideband cooling of visible atom cloud confined in parabolic well,” Phys. Rev. Lett. 41, 233.
- Niles, A. M., E. W. Magee, D. B. Thorn, G. V. Brown, H. Chen, and P. Beiersdorfer, 2006, “Laser ablation system for the injection of neutral materials into an electron beam ion trap,” Rev. Sci. Instrum. 77, 10F106.
- Okada, K., M. Ichikawa, and M. Wada, 2015, “Characterization of ion Coulomb crystals for fundamental sciences,” Hyperfine Interact. 236, 87.
- Ong, A., J. C. Berengut, and V. V. Flambaum, 2014, “Optical transitions in highly charged ions for detection of variations in the fine-structure constant,” in Fundamental Physics in Particle Traps, Springer Tracts in Modern Physics, edited by W. Quint and M. Vogel (Springer-Verlag, Berlin/Heidelberg), Vol. 256, p. 293.
- Oreshkina, Natalia S., Stefano M. Cavaletto, Niklas Michel, Zoltán Harman, and Christoph H. Keitel, 2017, “Hyperfine splitting in simple ions for the search of the variation of fundamental constants,” Phys. Rev. A 96, 030501.
- O’Sullivan, Gerry, et al., 2015, “Spectroscopy of highly charged ions and its relevance to EUV and soft x-ray source development,” J. Phys. B 48, 144025.
- Otranto, S., R. E. Olson, and P. Beiersdorfer, 2006, “X-ray emission cross sections following charge exchange by multiply charged ions of astrophysical interest,” Phys. Rev. A 73, 022723.
- Ovsyannikov, V. P., and A. V. Nefiodov, 2016a, “Main magnetic focus ion source: Basic principles, theoretical predictions and experimental confirmations,” Nucl. Instrum. Methods Phys. Res., Sect. B 370, 32.
- Ovsyannikov, V. P., and A. V. Nefiodov, 2016b, “Main magnetic focus ion source with the radial extraction of ions,” Nucl. Instrum. Methods Phys. Res., Sect. B 367, 1.
- Ovsyannikov, V. P., and G. Zschornack, 1999, “First investigations of a warm electron beam ion trap for the production of highly charged ions,” Rev. Sci. Instrum. 70, 2646.
- Pachucki, K., A. Czarnecki, U. D. Jentschura, and V. A. Yerokhin, 2005, “Complete two-loop correction to the bound-electron factor,” Phys. Rev. A 72, 022108.
- Palmer, C. W. P., 1987, “Reformulation of the theory of the mass shift,” J. Phys. B 20, 5987.
- Pedregosa, J., 2017, “Molecular dynamics simulations,” personal communication.
- Peik, Ekkehard, Tobias Schneider, and Christian Tamm, 2006, “Laser frequency stabilization to a single ion,” J. Phys. B 39, 145.
- Penetrante, B. M., J. N. Bardsley, D. DeWitt, M. Clark, and D. Schneider, 1991, “Evolution of ion-charge-state distributions in an electron-beam ion trap,” Phys. Rev. A 43, 4861.
- Penetrante, B. M., J. N. Bardsley, M. A. Levine, D. A. Knapp, and R. E. Marrs, 1991, “Evaporative cooling of highly charged dysprosium ions in an enhanced electron-beam ion trap,” Phys. Rev. A 43, 4873.
- Penetrante, B. M., D. Schneider, R. E. Marrs, and J. N. Bardsley, 1992, “Modeling the ion-source performance of an electron-beam ion trap (invited),” Rev. Sci. Instrum. 63, 2806.
- Persson, H., S. Salomonson, P. Sunnergren, I. Lindgren, and M. G. H. Gustavsson, 1997, “A theoretical survey of QED tests in highly charged ions,” Hyperfine Interact. 108, 3.
- Persson, H., S. M. Schneider, W. Greiner, G. Soff, and I. Lindgren, 1996, “Self-energy correction to the hyperfine structure splitting of hydrogenlike atoms,” Phys. Rev. Lett. 76, 1433.
- Peskin, Michael E, and Daniel V. Schroeder, 1995, An introduction to Quantum Field Theory (Perseus Books, Reading, MA).
- Phillips, William D., 1998, “Nobel lecture: Laser cooling and trapping of neutral atoms,” Rev. Mod. Phys. 70, 721.
- Phillips, William D., John V. Prodan, and Harold J. Metcalf, 1985, “Laser cooling and electromagnetic trapping of neutral atoms,” J. Opt. Soc. Am. B 2, 1751.
- Plante, D. R., W. R. Johnson, and J. Sapirstein, 1994, “Relativistic all-order many-body calculations of the and states of heliumlike ions,” Phys. Rev. A 49, 3519.
- Plunien, G., B. Müller, W. Greiner, and G. Soff, 1989, “Nuclear polarization contribution to the Lamb shift in heavy atoms,” Phys. Rev. A 39, 5428.
- Pohl, Randolf, 2016, “Laser spectroscopy of muonic hydrogen and the puzzling proton,” J. Phys. Soc. Jpn. 85, 091003.
- Pohl, Randolf, Ronald Gilman, Gerald A. Miller, and Krzysztof Pachucki, 2013, “Muonic Hydrogen and the Proton Radius Puzzle,” Annu. Rev. Nucl. Part. Sci. 63, 175.
- Pohl, Randolf, et al., 2010, “The size of the proton,” Nature (London) 466, 213.
- Pohl, Randolf, et al., 2016, “Laser spectroscopy of muonic deuterium,” Science 353, 669.
- Poli, N., C. W. Oates, P. Gill, and G. M. Tino, 2013, “Optical atomic clocks,” Riv. Nuovo Cimento 36, 555.
- Porto, J. V., I. Kink, and J. D. Gillaspy, 2000, “UV light from the ground term of Ti-like ytterbium, tungsten, and bismuth,” Phys. Rev. A 61, 054501.
- Poth, H., R. W. Hasse, T. Katayama, and A. Noda, 1991, “The HITRAP project at GSI—A facility for experimentation with trapped highly-charged ions,” in Cooler Rings and their Applications (World Scientific Publishing Company, Singapore), p. 108.
- Prior, M. H., 1987, “Forbidden lines from highly charged, metastable ion beams,” J. Opt. Soc. Am. B 4, 144.
- Pruttivarasin, T., M. Ramm, S. G. Porsev, I. I. Tupitsyn, M. S. Safronova, M. A. Hohensee, and H. Häffner, 2015, “Michelson-Morley analogue for electrons using trapped ions to test Lorentz symmetry,” Nature (London) 517, 592.
- Pyka, Karsten, Norbert Herschbach, Jonas Keller, and Tanja E. Mehlstäubler, 2014, “A high-precision segmented Paul trap with minimized micromotion for an optical multiple-ion clock,” Appl. Phys. B 114, 231.
- Quint, W., et al., 2001, “HITRAP: A facility for experiments with trapped highly charged ions,” Hyperfine Interact. 132, 453.
- Ramsey, N., 1985, Molecular Beams (Oxford University Press, New York).
- Reimers, D., 2002, “Baryons in the diffuse intergalactic medium,” Space Sci. Rev. 100, 89.
- Richard, P., M. Stöckli, R. D. Deslattes, P. Cowan, R. E. LaVilla, B. Johnson, K. Jones, M. Meron, R. Mann, and K. Schartner, 1984, “Measurement of the Lamb shift in hydrogenlike chlorine,” Phys. Rev. A 29, 2939.
- Riehle, Fritz, 2004, Frequency Standards: Basics and Applications (Wiley-VCH, Weinheim).
- Riis, Erling, and Alastair G. Sinclair, 2004, “Optimum measurement strategies for trapped ion optical frequency standards,” J. Phys. B 37, 4719.
- Riley, William J., 2008, Handbook of Frequency Stability Analysis, NIST Special Publications, Vol. 1065, U.S. Department of Commerce (National Institute of Standards and Technology, Boulder, CO).
- Roberts, B. M., V. A. Dzuba, and V. V. Flambaum, 2013, “Quantum electrodynamics corrections to energies, transition amplitudes, and parity nonconservation in Rb, Cs, , Tl, Fr, and ,” Phys. Rev. A 87, 054502.
- Rodríguez, D., et al., 2010, “MATS and LaSpec: High-precision experiments using ion traps and lasers at FAIR,” Eur. Phys. J. Spec. Top. 183, 1.
- Roos, C. F., M. Chwalla, K. Kim, M. Riebe, and R. Blatt, 2006, “Designer atoms’ for quantum metrology,” Nature (London) 443, 316.
- Roos, C. F., D. Leibfried, A. Mundt, F. Schmidt-Kaler, J. Eschner, and R. Blatt, 2000, “Experimental demonstration of ground state laser cooling with electromagnetically induced transparency,” Phys. Rev. Lett. 85, 5547.
- Rosenband, T., et al., 2008, “Frequency ratio of and single-ion optical clocks; metrology at the 17th decimal place,” Science 319, 1808.
- Rudolph, J. K., et al., 2013, “X-ray resonant photoexcitation: Linewidths and energies of K transitions in highly charged Fe ions,” Phys. Rev. Lett. 111, 103002.
- Runke, J., et al., 2014, “Preparation of actinide targets for the synthesis of the heaviest elements,” J. Radioanal. Nucl. Chem. 299, 1081.
- Safronova, M. S., D. Budker, D. DeMille, Derek F. Jackson Kimball, A. Derevianko, and C. W. Clark, 2018, “Search for new physics with atoms and molecules,”arXiv:1710.01833.
- Safronova, M. S., V. A. Dzuba, V. V. Flambaum, U. I. Safronova, S. G. Porsev, and M. G. Kozlov, 2014a, “Atomic properties of Cd-like and Sn-like ions for the development of frequency standards and search for the variation of the fine-structure constant,” Phys. Rev. A 90, 052509.
- Safronova, M. S., V. A. Dzuba, V. V. Flambaum, U. I. Safronova, S. G. Porsev, and M. G. Kozlov, 2014b, “Highly charged Ag-like and In-like ions for the development of atomic clocks and the search for alpha variation,” Phys. Rev. A 90, 042513.
- Safronova, M. S., V. A. Dzuba, V. V. Flambaum, U. I. Safronova, S. G. Porsev, and M. G. Kozlov, 2014c, “Highly-charged ions for atomic clocks, quantum information, and search for -variation,” Phys. Rev. Lett. 113, 030801.
- Safronova, M. S., M. G. Kozlov, W. R. Johnson, and D. Jiang, 2009, “Development of a configuration-interaction + all-order method for atomic calculations,” Phys. Rev. A 80, 012516.
- Safronova, U. I., V. V. Flambaum, and M. S. Safronova, 2015, “Transitions between the 4 f -core-excited states in , , and ions for clock applications,” Phys. Rev. A 92, 022501.
- Sakaue, H. A., D. Kato, N. Nakamura, E. Watanabe, and N. Yamamoto, 2009, “EUV spectroscopy of highly charged iron ions with a low energy compact EBIT,” J. Phys. Conf. Ser. 163, 012020.
- Sapirstein, J., and K. T. Cheng, 2011, “S-matrix calculations of energy levels of the lithium isoelectronic sequence,” Phys. Rev. A 83, 012504.
- Savukov, I. M., and W. R. Johnson, 2002, “Combined calculations of energy levels and transition amplitudes in Be, Mg, Ca, and Sr,” Phys. Rev. A 65, 042503.
- Schabinger, B., S. Sturm, A. Wagner, J. Alonso, and W. Quint, 2012, “Experimental factor of hydrogenlike silicon-28,” Eur. Phys. J. D 66, 71.
- Scharnhorst, Nils, Javier Cerrillo, Johannes Kramer, Ian D. Leroux, Jannes B. Wübbena, Alex Retzker, and Piet O. Schmidt, 2017, “Multi-mode double-bright EIT cooling,” arXiv:1711.00738.
- Schiller, S., 2007, “Hydrogenlike highly charged ions for tests of the time independence of fundamental constants,” Phys. Rev. Lett. 98, 180801.
- Schmidt, P. O., T. Rosenband, C. Langer, W. M. Itano, J. C. Bergquist, and D. J. Wineland, 2005, “Spectroscopy using quantum logic,” Science 309, 749.
- Schmidt, Piet O., and Ian D. Leroux, 2015, “Trapped-ion optical frequency standards,” in Trapped Charged Particles, Advanced Textbooks in Physics (World Scientific, Singapore), p. 377.
- Schmöger, L., M. Schwarz, T. M. Baumann, O. O. Versolato, B. Piest, T. Pfeifer, J. Ullrich, P. O. Schmidt, and J. R. Crespo López-Urrutia 2015, “Deceleration, precooling, and multi-pass stopping of highly charged ions in Coulomb crystals,” Rev. Sci. Instrum. 86, 103111.
- Schmöger, L., et al., 2015, “Coulomb crystallization of highly charged ions,” Science 347, 1233.
- Schmöger, Lisa, 2017, Kalte hochgeladene Ionen für Frequenzmetrologie, dissertation (Heidelberg University, Germany).
- Schneider, D., D. A. Church, G. Weinberg, J. Steiger, B. Beck, J. McDonald, E. Magee, and D. Knapp, 1994, “Confinement in a cryogenic penning trap of highest charge state ions from EBIT,” Rev. Sci. Instrum. 65, 3472.
- Schneider, D., M. W. Clark, B. M. Penetrante, J. McDonald, D. Dewitt, and J. N. Bardsley, 1991, “Production of high-charge-state thorium and uranium ions in an electron-beam ion trap,” Phys. Rev. A 44, 3119.
- Schnorr, K., V. Mäckel, N. S. Oreshkina, S. Augustin, F. Brunner, Z. Harman, C. H. Keitel, J. Ullrich, and J. R. Crespo López-Urrutia, 2013, “Coronium in the laboratory: Measuring the Fe XIV green coronal line by laser spectroscopy,” Astrophys. J. 776, 121.
- Schulte, M., N. Lörch, I. D. Leroux, P. O. Schmidt, and K. Hammerer, 2016, “Quantum Algorithmic Readout in Multi-Ion Clocks,” Phys. Rev. Lett. 116, 013002.
- Schwarz, M., et al., 2012, “Cryogenic linear Paul trap for cold highly charged ion experiments,” Rev. Sci. Instrum. 83, 083115.
- Schweppe, J., et al., 1991, “Measurement of the Lamb shift in lithiumlike uranium ,” Phys. Rev. Lett. 66, 1434.
- Schwerdtfeger, P., L. F. Paśteka, A. Punnett, and P. O. Bowman, 2015, “Relativistic and quantum electrodynamic effects in superheavy elements,” Nucl. Phys. A 944, 551.
- Seelig, P., et al., 1998, “Ground state hyperfine splitting of hydrogenlike by laser excitation of a bunched ion beam in the GSI experimental storage ring,” Phys. Rev. Lett. 81, 4824.
- Seidelin, S., et al., 2006, “Microfabricated surface-electrode ion trap for scalable quantum information processing,” Phys. Rev. Lett. 96, 253003.
- Serpa, F. G., E. W. Bell, E. S. Meyer, J. D. Gillaspy, and J. R. Roberts, 1997, “Kr spectra from an electron-beam ion trap: 300 nm to 460 nm,” Phys. Rev. A 55, 1832.
- Serpa, F. G., C. A. Morgan, E. S. Meyer, J. D. Gillaspy, E. Träautbert, D. A. Church, and E. Takács, 1997, “Measurement of a magnetic-dipole transition probability in using an electron-beam ion trap,” Phys. Rev. A 55, 4196.
- Shabaev, V. M., 1985, “Mass corrections in a strong nuclear field,” Theor. Math. Phys. 63, 588.
- Shabaev, V. M., 1993, “Finite nuclear size corrections to the energy levels of the multicharged ions,” J. Phys. B 26, 1103.
- Shabaev, V. M., 1994, “Hyperfine structure of hydrogen-like ions,” J. Phys. B 27, 5825.
- Shabaev, V. M., 1998, “QED theory of the nuclear recoil effect in atoms,” Phys. Rev. A 57, 59.
- Shabaev, V. M., 2002, “Two-time Green’s function method in quantum electrodynamics of high-Z few-electron atoms,” Phys. Rep. 356, 119.
- Shabaev, V. M., A. N. Artemyev, T. Beier, G. Plunien, V. A. Yerokhin, and G. Soff, 1998, “Recoil correction to the ground-state energy of hydrogenlike atoms,” Phys. Rev. A 57, 4235.
- Shabaev, V. M., A. N. Artemyev, and V. A. Yerokhin, 2000, “QED and nuclear effects in high-Z few-electron atoms,” Phys. Scr. T86, 7.
- Shabaev, V. M., A. N. Artemyev, V. A. Yerokhin, O. M. Zherebtsov, and G. Soff, 2001, “Towards a test of QED in investigations of the hyperfine splitting in heavy ions,” Phys. Rev. Lett. 86, 3959.
- Shabaev, V. M., D. A. Glazov, N. S. Oreshkina, A. V. Volotka, G. Plunien, H.-J. Kluge, and W. Quint, 2006, “-factor of heavy ions: A new access to the fine structure constant,” Phys. Rev. Lett. 96, 253002.
- Shabaev, V. M., D. A. Glazov, G. Plunien, and A. V. Volotka, 2015, “Theory of bound-electron factor in highly charged ions,” J. Phys. Chem. Ref. Data 44, 031205.
- Shabaev, V. M., D. A. Glazov, M. B. Shabaeva, V. A. Yerokhin, G. Plunien, and G. Soff, 2002, “ factor of high-Z lithiumlike ions,” Phys. Rev. A 65, 062104.
- Shabaev, V. M., M. Tomaselli, T. Kühl, A. N. Artemyev, and V. A. Yerokhin, 1997, “Ground-state hyperfine splitting of high-Z hydrogenlike ions,” Phys. Rev. A 56, 252.
- Shabaev, V. M., I. I. Tupitsyn, and V. A. Yerokhin, 2013, “Model operator approach to the Lamb shift calculations in relativistic many-electron atoms,” Phys. Rev. A 88, 012513.
- Shabaev, V. M., I. I. Tupitsyn, and V. A. Yerokhin, 2015, “QEDMOD: Fortran program for calculating the model Lamb-shift operator,” Comput. Phys. Commun. 189, 175.
- Shah, C., P. Amaro, R. Steinbrügge, S. Bernitt, J. R. Crespo López-Urrutia, and S. Tashenov, 2018, “Polarization of K-shell dielectronic recombination satellite lines of Fe XIX—XXV and its application for diagnostics of anisotropies of hot plasmas,” Astrophys. J. Suppl. Ser. 234, 27.
- Shaniv, R., R. Ozeri, M. S. Safronova, S. G. Porsev, V. A. Dzuba, V. V. Flambaum, and H. Häffner, 2018, “New Methods for Testing Lorentz Invariance with Atomic Systems,” Phys. Rev. Lett. 120, 103202.
- Shi, C., et al., 2017, “Unexpectedly large difference of the electron density at the nucleus in the fine-structure doublet of ,” Appl. Phys. B 123, 2.
- Shlyaptseva, A. S., R. C. Mancini, P. Neill, and P. Beiersdorfer, 1997, “Polarization of x-ray Li- and Be-like Fe satellite lines excited by an electron beam,” Rev. Sci. Instrum. 68, 1095.
- Shlyaptseva, A. S., R. C. Mancini, P. Neill, P. Beiersdorfer, J. R. Crespo López-Urrutia, and K. Widmann, 1998, “Polarization-dependent spectra of x-ray dielectronic satellite lines of Be-like Fe,” Phys. Rev. A 57, 888.
- Shull, J. Michael, Britton D. Smith, and Charles W. Danforth, 2012, “The baryon census in a multiphase intergalactic medium: 30% of the baryons may still be missing,” Astrophys. J. 759, 23.
- Silver, J. D., et al., 1994, “The Oxford electron-beam ion trap: A device for spectroscopy of highly charged ions,” Rev. Sci. Instrum. 65, 1072.
- Simon, M. C., et al., 2010a, “Resonant and near-threshold photoionization cross sections of ,” Phys. Rev. Lett. 105, 183001.
- Simon, M. C., et al., 2010b, “Photoionization of and in an electron beam ion trap by synchrotron radiation,” J. Phys. B 43, 065003.
- Skripnikov, Leonid V., et al., 2018, “New nuclear magnetic moment of : Resolving the bismuth hyperfine puzzle,” Phys. Rev. Lett. 120, 093001.
- Solaro, Cyrille, Steffen Meyer, Karin Fisher, Michael V. DePalatis, and Michael Drewsen, 2017, “Direct frequency-comb-driven Raman transitions in the terahertz range,” arXiv:1712.07429.
- Soria Orts, R., et al., 2007, “Zeeman splitting and factor of the and levels in ,” Phys. Rev. A 76, 052501.
- Soria Orts, R. S., et al., 2006, “Exploring relativistic many-body recoil effects in highly charged ions,” Phys. Rev. Lett. 97, 103002.
- Stadnik, Y. V., and V. V. Flambaum, 2015, “Can dark matter induce cosmological evolution of the fundamental constants of nature?” Phys. Rev. Lett. 115, 201301.
- Stadnik, Y. V., and V. V. Flambaum, 2016, “Improved limits on interactions of low-mass spin-0 dark matter from atomic clock spectroscopy,” Phys. Rev. A 94, 022111.
- Staude, U., Ph. Bosselmann, R. Büttner, D. Horn, K.-H. Schartner, F. Folkmann, A. E. Livingston, T. Ludziejewski, and P. H. Mokler, 1998, “Measurements of transition energies in lithiumlike heavy ions: Experiments and results for and ,” Phys. Rev. A 58, 3516.
- Stenholm, Stig, 1986, “The semiclassical theory of laser cooling,” Rev. Mod. Phys. 58, 699.
- Sturm, S., F. Köhler, J. Zatorski, A. Wagner, Z. Harman, G. Werth, W. Quint, C. H. Keitel, and K. Blaum, 2014, “High-precision measurement of the atomic mass of the electron,” Nature (London) 506, 467.
- Sturm, S., M. Vogel, F. Köhler-Langes, W. Quint, K. Blaum, and G. Werth, 2017, “High-precision measurements of the bound electron’s magnetic moment,” Atoms 5, 4.
- Sturm, S., A. Wagner, M. Kretzschmar, W. Quint, G. Werth, and K. Blaum, 2013, “-factor measurement of hydrogenlike as a challenge to QED calculations,” Phys. Rev. A 87, 030501.
- Sturm, S., A. Wagner, B. Schabinger, J. Zatorski, Z. Harman, W. Quint, G. Werth, C. H. Keitel, and K. Blaum, 2011, “ factor of hydrogenlike ,” Phys. Rev. Lett. 107, 023002.
- Sturm, S., G. Werth, and K. Blaum, 2013, “Electron -factor determinations in Penning traps,” Ann. Phys. (Berlin) 525, 620.
- Suckewer, S., E. Hinnov, S. Cohen, M. Finkenthal, and K. Sato, 1982, “Identification of magnetic dipole lines above 2000 Å in several highly ionized Mo and Zr ions on the PLT tokamak,” Phys. Rev. A 26, 1161.
- Sugar, J., and V. Kaufman, 1981, “Ag I isoelectronic sequence: Wavelengths and energy levels for Ce XII through Ho XXI and for W XXVIII,” Phys. Scr. 24, 742.
- Sunnergren, P., H. Persson, S. Salomonson, S. M. Schneider, I. Lindgren, and G. Soff, 1998, “Radiative corrections to the hyperfine-structure splitting of hydrogenlike systems,” Phys. Rev. A 58, 1055.
- Takacs, E., T. D. Kimmel, K. H. Brandenburg, R. K. Wilson, A. C. Gall, J. E. Harriss, and C. E. Sosolik, 2015, “Diagnostic measurements of CUEBIT based on the dielectronic resonance process,” AIP Conf. Proc. 1640, 154.
- Tavernier, M., J. P. Briand, P. Indelicato, D. Liesen, and P. Richard, 1985, “Measurement of the Lamb shift of hydrogen-like krypton,” J. Phys. B 18, L327.
- Torretti, F., et al., 2017, “Optical spectroscopy of complex open--shell ions ,” Phys. Rev. A 95, 042503.
- Träbert, E., 2002, “Precise atomic lifetime measurements with stored ion beams and ion traps,” Can. J. Phys. 80, 1481.
- Träbert, E., 2008, “Atomic lifetime measurements employing an electron beam ion trap,” Can. J. Phys. 86, 73.
- Trinczek, M., A. Werdich, V. Mironov, P. Guo, A. J. González Martínez, J. Braun, J. R. Crespo López-Urrutia, and J. Ullrich, 2006, “A laser ion source for an electron beam ion trap,” Nucl. Instrum. Methods Phys. Res., Sect. B 251, 289.
- Tupitsyn, I. I., and E. V. Berseneva, 2013, “A single-particle nonlocal potential for taking into account quantum-electrodynamic corrections in calculations of the electronic structure of atoms,” Opt. Spectrosc. 114, 682.
- Tupitsyn, I. I., M. G. Kozlov, M. S. Safronova, V. M. Shabaev, and V. A. Dzuba, 2016, “Quantum electrodynamical shifts in multivalent heavy ions,” Phys. Rev. Lett. 117, 253001.
- Tupitsyn, I. I., V. M. Shabaev, J. R. Crespo López-Urrutia, I. Draganić, R. Soria Orts, and J. Ullrich, 2003, “Relativistic calculations of isotope shifts in highly charged ions,” Phys. Rev. A 68, 022511.
- Ullmann, Johannes, et al., 2017, “High precision hyperfine measurements in bismuth challenge bound-state strong-field QED,” Nat. Commun. 8, 15484.
- Utter, S. B., P. Beiersdorfer, and G. V. Brown, 2000, “Measurement of an unusual M1 transition in the ground state of Ti-like ,” Phys. Rev. A 61, 030503(R).
- Uzan, Jean-Philippe, 2011, “Varying constants, gravitation and cosmology,” Living Rev. Relativity 14, 2.
- Versolato, O. O., M. Schwarz, A. Windberger, J. Ullrich, P. O. Schmidt, M. Drewsen, and J. R. Crespo López-Urrutia, 2013, “Cold highly charged ions in a cryogenic Paul trap,” Hyperfine Interact. 214, 189.
- Volotka, A. V., D. A. Glazov, O. V. Andreev, V. M. Shabaev, I. I. Tupitsyn, and G. Plunien, 2012, “Test of many-electron QED effects in the hyperfine splitting of heavy high-Z ions,” Phys. Rev. Lett. 108, 073001.
- Volotka, A. V., D. A. Glazov, G. Plunien, and V. M. Shabaev, 2013, “Progress in quantum electrodynamics theory of highly charged ions,” Ann. Phys. (Berlin) 525, 636.
- Volotka, A. V., D. A. Glazov, V. M. Shabaev, I. I. Tupitsyn, and G. Plunien, 2014, “Many-electron QED corrections to the factor of lithiumlike ions,” Phys. Rev. Lett. 112, 253004.
- Volotka, A. V., and G. Plunien, 2014, “Nuclear polarization study: New frontiers for tests of QED in heavy highly charged ions,” Phys. Rev. Lett. 113, 023002.
- Volotka, Andrey V., Dmitry A. Glazov, Günter Plunien, and Vladimir M. Shabaev, 2013, “Progress in quantum electrodynamics theory of highly charged ions,” Ann. Phys. (Berlin) 525, 636.
- von Lindenfels, D., et al., 2013, “Experimental access to higher-order Zeeman effects by precision spectroscopy of highly charged ions in a Penning trap,” Phys. Rev. A 87, 023412.
- Vutha, Amar C, Tom Kirchner, and Pierre Dubé, 2017, “The collisional frequency shift of a trapped-ion optical clock,” Phys. Rev. A 96, 022704.
- Wagner, A., S. Sturm, F. Köhler, D. A. Glazov, A. V. Volotka, G. Plunien, W. Quint, G. Werth, V. M. Shabaev, and K. Blaum, 2013, “ factor of lithiumlike silicon ,” Phys. Rev. Lett. 110, 033003.
- Wan, Yong, Florian Gebert, Fabian Wolf, and Piet O. Schmidt, 2015, “Efficient sympathetic motional-ground-state cooling of a molecular ion,” Phys. Rev. A 91, 043425.
- Wan, Yong, Florian Gebert, Jannes B. Wübbena, Nils Scharnhorst, Sana Amairi, Ian D. Leroux, Börge Hemmerling, Niels Lörch, Klemens Hammerer, and Piet O. Schmidt, 2014, “Precision spectroscopy by photon-recoil signal amplification,” Nat. Commun. 5, 4096.
- Wargelin, B. J., P. Beiersdorfer, and S. M. Kahn, 1993, “Radiative lifetime of the long-lived state in heliumlike neon by electron-beam excitation of trapped ions,” Phys. Rev. Lett. 71, 2196.
- Wargelin, B. J., P. Beiersdorfer, P. A. Neill, R. E. Olson, and J. H. Scofield, 2005, “Charge-exchange spectra of hydrogenic and He-like iron,” Astrophys. J. 634, 687.
- Watanabe, H., D. Crosby, F. J. Currell, T. Fukami, D. Kato, S. Ohtani, J. D. Silver, and C. Yamada, 2001, “Magnetic dipole transitions in titaniumlike ions,” Phys. Rev. A 63, 042513.
- Watanabe, H., H. Tobiyama, A. P. Kavanagh, Y. M. Li, N. Nakamura, H. A. Sakaue, F. J. Currell, and S. Ohtani, 2007, “Dielectronic recombination of He-like to C-like iodine ions,” Phys. Rev. A 75, 012702.
- Watanabe, Hirofumi, and Fred Currell, 2004, “The Belfast EBIT,” J. Phys. Conf. Ser. 2, 182.
- Webb, J. K., J. A. King, M. T. Murphy, V. V. Flambaum, R. F. Carswell, and M. B. Bainbridge, 2011, “Indications of a spatial variation of the fine structure constant,” Phys. Rev. Lett. 107, 191101.
- Whitmore, J. B., and M. T. Murphy, 2015, “Impact of instrumental systematic errors on fine-structure constant measurements with quasar spectra,” Mon. Not. R. Astron. Soc. 447, 446.
- Wicht, A., J. M. Hensley, E. Sarajlic, and S. Chu, 2002, “A preliminary measurement of the fine structure constant based on atom interferometry,” Phys. Scr. T102, 82.
- Widmann, K., P. Beiersdorfer, V. Decaux, and M. Bitter, 1996, “Measurements of the K transition energies of heliumlike krypton,” Phys. Rev. A 53, 2200.
- Wilhelm, Richard A, Elisabeth Gruber, Janine Schwestka, Roland Kozubek, Teresa I. Madeira, José P. Marques, Jacek Kobus, Arkady V. Krasheninnikov, Marika Schleberger, and Friedrich Aumayr, 2017, “Interatomic coulombic decay: The mechanism for rapid deexcitation of hollow atoms,” Phys. Rev. Lett. 119, 103401.
- Wilson, A. C., C. Ospelkaus, A. P. VanDevender, J. A. Mlynek, K. R. Brown, D. Leibfried, and D. J. Wineland, 2011, “A 750-mW, continuous-wave, solid-state laser source at 313 nm for cooling and manipulating trapped ions,” Appl. Phys. B 105, 741.
- Windberger, A., et al., 2015, “Identification of the predicted level crossing optical lines with applications to metrology and searches for the variation of fundamental constants,” Phys. Rev. Lett. 114, 150801.
- Windberger, A., et al., 2016, “Analysis of the fine structure of ions by optical spectroscopy in an electron-beam ion trap,” Phys. Rev. A 94, 012506.
- Wineland, D. J., R. E. Drullinger, and F. L. Walls, 1978, “Radiation-pressure cooling of bound resonant absorbers,” Phys. Rev. Lett. 40, 1639.
- Wineland, D. J., and Wayne M. Itano, 1979, “Laser cooling of atoms,” Phys. Rev. A 20, 1521.
- Wineland, D. J., C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. M. Meekhof, 1998, “Experimental issues in coherent quantum-state manipulation of trapped atomic ions,” J. Res. Natl. Inst. Stand. Technol. 103, 259.
- Winter, Hannspeter, and Friedrich Aumayr, 1999, “Hollow atoms,” J. Phys. B 32, R39.
- Winters, D. F. A., A. M. Abdulla, J. R. Castrejón Pita, A. de Lange, D. M. Segal, and R. C. Thompson, 2005, “Plans for laser spectroscopy of trapped cold hydrogen-like HCI,” Nucl. Instrum. Methods Phys. Res., Sect. B 235, 201.
- Wolf, A. L., S. A. Van Den Berg, W. Ubachs, and K. S. E. Eikema, 2009, “Direct frequency comb spectroscopy of trapped ions,” Phys. Rev. Lett. 102, 223901.
- Wolf, Fabian, Yong Wan, Jan C. Heip, Florian Gebert, Chunyan Shi, and Piet O. Schmidt, 2016, “Non-destructive state detection for quantum logic spectroscopy of molecular ions,” Nature (London) 530, 457.
- Wübbena, Jannes B., Sana Amairi, Olaf Mandel, and Piet O. Schmidt, 2012, “Sympathetic cooling of mixed-species two-ion crystals for precision spectroscopy,” Phys. Rev. A 85, 043412.
- Xiao, J., Z. Fei, Y. Yang, X. Jin, D. Lu, Y. Shen, L. Liljeby, R. Hutton, and Y. Zou, 2012, “A very low energy compact electron beam ion trap for spectroscopic research in Shanghai,” Rev. Sci. Instrum. 83, 013303.
- Xue, Y., et al., 2014, “Kinematically complete study of electron transfer and rearrangement processes in slow -Ne collisions,” Phys. Rev. A 90, 052720.
- Yamada, C., et al., 2007, “Injection of refractory metals into EBIT using a Knudsen cell,” J. Phys. Conf. Ser. 58, 403.
- Yan, Zong-Chao, and G. W. F. Drake, 1995, “High precision calculation of fine structure splittings in helium and He-like ions,” Phys. Rev. Lett. 74, 4791.
- Ye, Jun, et al., 2003, “Delivery of high-stability optical and microwave frequency standards over an optical fiber network,” J. Opt. Soc. Am. B 20, 1459.
- Yerokhin, V. A., A. N. Artemyev, and V. M. Shabaev, 2007, “QED treatment of electron correlation in Li-like ions,” Phys. Rev. A 75, 062501.
- Yerokhin, V. A., and Z. Harman, 2013, “Two-loop QED corrections with closed fermion loops for the bound-electron factor,” Phys. Rev. A 88, 042502.
- Yerokhin, V. A., P. Indelicato, and V. M. Shabaev, 2003a, “Evaluation of the two-loop self-energy correction to the ground state energy of H-like ions to all orders in Z,” Eur. Phys. J. D 25, 203.
- Yerokhin, V. A., P. Indelicato, and V. M. Shabaev, 2003b, “Two-loop self-energy correction in high-Z hydrogenlike ions,” Phys. Rev. Lett. 91, 073001.
- Yerokhin, V. A., K. Pachucki, Z. Harman, and C. H. Keitel, 2011, “QED theory of the nuclear magnetic shielding in hydrogenlike ions,” Phys. Rev. Lett. 107, 043004.
- Yerokhin, V. A., and V. M. Shabaev, 2015, “Lamb shift of and states of hydrogen-like atoms, ,” J. Phys. Chem. Ref. Data 44, 033103.
- Yerokhin, V. A., and A. Surzhykov, 2012, “Relativistic configuration-interaction calculation of energy levels of core-excited states in lithiumlike ions: Argon through krypton,” Phys. Rev. A 86, 042507.
- Yost, D. C., T. R. Schibli, and Jun Ye, 2008, “Efficient output coupling of intracavity high-harmonic generation,” Opt. Lett. 33, 1099.
- Yu, Y.-M., and B. K. Sahoo 2016, “Scrutinizing Al-like , , , , , , and ions for atomic clocks with uncertainties below the level,” Phys. Rev. A 94, 062502.
- Yudin, V. I., A. V. Taichenachev, and A. Derevianko 2014, “Magnetic-dipole transitions in highly-charged ions as a basis of ultra-precise optical clocks,” Phys. Rev. Lett. 113, 233003.
- Zatorski, J., B. Sikora, S. G. Karshenboim, S. Sturm, F. Köhler-Langes, K. Blaum, C. H. Keitel, and Z. Harman 2017, “Extraction of the electron mass from -factor measurements on light hydrogenlike ions,” Phys. Rev. A 96, 012502.
- Zhang, X., N. Nakamura, Ch. Chen, M. Andersson, Y. Liu, and Sh. Ohtani, 2008, “Measurement of the QED energy shift in the x-ray transition in Li-like ,” Phys. Rev. A 78, 032504.
- Zimmerer, P., N. Grün, and W. Scheid, 1991, “Scaling of relativistic Auger rates with Z for ions with two electrons,” J. Phys. B 24, 2633.
- Zou, Y., R. Hutton, F. Currell, I. Martinson, and S. Hagmann, 2016, Handbook for Highly Charged Ion Spectroscopic Research (CRC Press, Boca Raton, FL).