Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Optically detected magnetic resonance to characterize atomlike microwave-optical transducers

Li Ma, Luke S. Trainor, Gavin G. G. King, Harald G. L. Schwefel, and Jevon J. Longdell*

  • Department of Physics, University of Otago, Dunedin 9016, New Zealand and The Dodd-Walls Centre for Photonic and Quantum Technologies, Dunedin 9016, New Zealand

  • *jevon.longdell@otago.ac.nz

Phys. Rev. A 107, 053514 – Published 15 May, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.053514

Abstract

We introduce a method for optically detected magnetic resonance for atomlike systems in an optical resonator. Driving the spin transitions of these systems with microwaves causes changes to the populations of the ground-state spin levels, which we detect by changes in the optical cavity frequency. The technique is useful for characterizing experiments aimed at quantum microwave-to-optical transduction because it provides a way of only probing the spin transitions of the atomlike systems that are in the optical resonator's mode. We demonstrate the technique using a cryogenic erbium-doped whispering-gallery-mode resonator inside a microwave resonator. We compare our results with more standard electron paramagnetic resonance to show that our optical modes are confined to a region of large microwave magnetic-field amplitude. Our optical modes have a Q factor better than 108 making them the highest Q-factor resonators studied with cryogenic rare-earth-ion dopants, allowing us to report ensemble strong coupling between the erbium dopants and an optical whispering-gallery-mode resonator.

Physics Subject Headings (PhySH)

Article Text

References (63)

  1. P. Magnard, S. Storz, P. Kurpiers, J. Schär, F. Marxer, J. Lütolf, T. Walter, J.-C. Besse, M. Gabureac, K. Reuer, A. Akin, B. Royer, A. Blais, and A. Wallraff, Microwave Quantum Link between Superconducting Circuits Housed in Spatially Separated Cryogenic Systems, Phys. Rev. Lett. 125, 260502 (2020).
  2. N. J. Lambert, A. Rueda, F. Sedlmeir, and H. G. L. Schwefel, Coherent conversion between microwave and optical photons—an overview of physical implementations, Adv. Quantum Technol. 3, 1900077 (2020).
  3. N. Lauk, N. Sinclair, S. Barzanjeh, J. P. Covey, M. Saffman, M. Spiropulu, and C. Simon, Perspectives on quantum transduction, Quantum Sci. Technol. 5, 020501 (2020).
  4. T. Böttger, C. W. Thiel, R. L. Cone, and Y. Sun, Effects of magnetic field orientation on optical decoherence in Er3+:Y2SiO5, Phys. Rev. B 79, 115104 (2009).
  5. Y. Sun, C. W. Thiel, R. L. Cone, R. W. Equall, and R. L. Hutcheson, Recent progress in developing new rare earth materials for hole burning and coherent transient applications, Proceedings of the Seventh International Meeting on Hole Burning, Single Molecules and Related Spectroscopies: Science and Applications, J. Lumin. 98, 281 (2002).
  6. R. W. Equall, Y. Sun, R. L. Cone, and R. M. Macfarlane, Ultraslow Optical Dephasing in Eu3+:Y2SiO5, Phys. Rev. Lett. 72, 2179 (1994).
  7. R. L. Ahlefeldt, M. R. Hush, and M. J. Sellars, Ultranarrow Optical Inhomogeneous Linewidth in a Stoichiometric Rare-Earth Crystal, Phys. Rev. Lett. 117, 250504 (2016).
  8. R. M. Macfarlane, A. Cassanho, and R. S. Meltzer, Inhomogeneous Broadening by Nuclear Spin Fields: A new Limit for Optical Transitions in Solids, Phys. Rev. Lett. 69, 542 (1992).
  9. M. Zhong, M. P. Hedges, R. L. Ahlefeldt, J. G. Bartholomew, S. E. Beavan, S. M. Wittig, J. J. Longdell, and M. J. Sellars, Optically addressable nuclear spins in a solid with a six-hour coherence time, Nature (London) 517, 177 (2015).
  10. A. Ortu, A. Tiranov, S. Welinski, F. Fröwis, N. Gisin, A. Ferrier, P. Goldner, and M. Afzelius, Simultaneous coherence enhancement of optical and microwave transitions in solid-state electronic spins, Nat. Mater. 17, 671 (2018).
  11. J. V. Rakonjac, Y.-H. Chen, S. P. Horvath, and J. J. Longdell, Long spin coherence times in the ground state and in an optically excited state of Er3+:Y2SiO5 at zero magnetic field, Phys. Rev. B 101, 184430 (2020).
  12. M. C. Berrington, H. M. Rønnow, M. J. Sellars, and R. L. Ahlefeldt, Negative refractive index in dielectric crystals containing stoichiometric rare-earth ions, arXiv:2205.02739.
  13. D. Lago-Rivera, S. Grandi, J. V. Rakonjac, A. Seri, and H. de Riedmatten, Telecom-heralded entanglement between multimode solid-state quantum memories, Nature (London) 594, 37 (2021).
  14. T. L. Harris, K. D. Merkel, R. K. Mohan, T. Chang, Z. Cole, A. Olson, and W. R. Babbitt, Multigigahertz range-Doppler correlative signal processing in optical memory crystals, Appl. Opt. 45, 343 (2006).
  15. P. Berger, Y. Attal, M. Schwarz, S. Molin, A. Louchet-Chauvet, T. Chanelière, J.-L. L. Gouët, D. Dolfi, and L. Morvan, RF spectrum analyzer for pulsed signals: Ultra-wide instantaneous bandwidth, high sensitivity, and high time-resolution, J. Lightwave Technol. 34, 4658 (2016).
  16. R. Kolesov, K. Xia, R. Reuter, R. Stöhr, A. Zappe, J. Meijer, P. R. Hemmer, and J. Wrachtrup, Optical detection of a single rare-earth ion in a crystal, Nat. Commun. 3, 1029 (2012).
  17. J. M. Kindem, A. Ruskuc, J. G. Bartholomew, J. Rochman, Y. Q. Huan, and A. Faraon, Control and single-shot readout of an ion embedded in a nanophotonic cavity, Nature (London) 580, 201 (2020).
  18. P. Jobez, I. Usmani, N. Timoney, C. Laplane, N. Gisin, and M. Afzelius, Cavity-enhanced storage in an optical spin-wave memory, New J. Phys. 16, 083005 (2014).
  19. L. A. Williamson, Y.-H. Chen, and J. J. Longdell, Magneto-Optic Modulator with Unit Quantum Efficiency, Phys. Rev. Lett. 113, 203601 (2014).
  20. E. Miyazono, T. Zhong, I. Craiciu, J. M. Kindem, and A. Faraon, Coupling of erbium dopants to yttrium orthosilicate photonic crystal cavities for on-chip optical quantum memories, Appl. Phys. Lett. 108, 011111 (2016).
  21. X. Fernandez-Gonzalvo, S. P. Horvath, Y.-H. Chen, and J. J. Longdell, Cavity-enhanced raman heterodyne spectroscopy in Er3+:Y2SiO5 for microwave to optical signal conversion, Phys. Rev. A 100, 033807 (2019).
  22. D. Carbonera, Optically detected magnetic resonance (ODMR) of photoexcited triplet states, Photosynth. Res. 102, 403 (2009).
  23. D. Suter, Optical detection of magnetic resonance, Magn. Reson. 1, 115 (2020).
  24. B. M. Chernobrod and G. P. Berman, Spin microscope based on optically detected magnetic resonance, J. Appl. Phys. 97, 014903 (2005).
  25. V. Jacques, P. Neumann, J. Beck, M. Markham, D. Twitchen, J. Meijer, F. Kaiser, G. Balasubramanian, F. Jelezko, and J. Wrachtrup, Dynamic Polarization of Single Nuclear Spins by Optical Pumping of Nitrogen-Vacancy Color Centers in Diamond at Room Temperature, Phys. Rev. Lett. 102, 057403 (2009).
  26. P. Siyushev, K. Xia, R. Reuter, M. Jamali, N. Zhao, N. Yang, C. Duan, N. Kukharchyk, A. D. Wieck, R. Kolesov, and J. Wrachtrup, Coherent properties of single rare-earth spin qubits, Nat. Commun. 5, 3895 (2014).
  27. D. V. Strekalov, C. Marquardt, A. B. Matsko, H. G. L. Schwefel, and G. Leuchs, Nonlinear and quantum optics with whispering gallery resonators, J. Opt. 18, 123002 (2016).
  28. D. S. Norman, F. Azeem, J. J. Longdell, and H. G. L. Schwefel, Measuring optical loss in yttrium orthosilicate using a whispering gallery mode resonator, Mater. Quantum. Technol. 2, 011001 (2022).
  29. P. S. Kuo, J. Bravo-Abad, and G. S. Solomon, Second-harmonic generation using 4¯-quasi-phasematching in a GaAs whispering-gallery-mode microcavity, Nat. Commun. 5, 3109 (2014).
  30. J. U. Fürst, K. Buse, I. Breunig, P. Becker, J. Liebertz, and L. Bohatý, Second-harmonic generation of light at 245 nm in a lithium tetraborate whispering gallery resonator, Opt. Lett. 40, 1932 (2015).
  31. L. S. Trainor, F. Sedlmeir, C. Peuntinger, and H. G. L. Schwefel, Selective Coupling Enhances Harmonic Generation of Whispering-Gallery Modes, Phys. Rev. Appl. 9, 024007 (2018).
  32. T. Herr, V. Brasch, J. D. Jost, C. Y. Wang, N. M. Kondratiev, M. L. Gorodetsky, and T. J. Kippenberg, Temporal solitons in optical microresonators, Nat. Photon. 8, 145 (2014).
  33. K. E. Webb, M. Erkintalo, S. Coen, and S. G. Murdoch, Experimental observation of coherent cavity soliton frequency combs in silica microspheres, Opt. Lett. 41, 4613 (2016).
  34. S.-K. Meisenheimer, J. U. Fürst, K. Buse, and I. Breunig, Continuous-wave optical parametric oscillation tunable up to an 8 µm wavelength, Optica 4, 189 (2017).
  35. M. Förtsch, G. Schunk, J. U. Fürst, D. Strekalov, T. Gerrits, M. J. Stevens, F. Sedlmeir, H. G. L. Schwefel, S. W. Nam, G. Leuchs, and C. Marquardt, Highly efficient generation of single-mode photon pairs from a crystalline whispering-gallery-mode resonator source, Phys. Rev. A 91, 023812 (2015).
  36. J. U. Fürst, D. V. Strekalov, D. Elser, A. Aiello, U. L. Andersen, Ch. Marquardt, and G. Leuchs, Quantum Light from a Whispering-Gallery-Mode Disk Resonator, Phys. Rev. Lett. 106, 113901 (2011).
  37. A. A. Savchenkov, W. Liang, A. B. Matsko, V. S. Ilchenko, D. Seidel, and L. Maleki, Tunable optical single-sideband modulator with complete sideband suppression, Opt. Lett. 34, 1300 (2009).
  38. M. Zhang, B. Buscaino, C. Wang, A. Shams-Ansari, C. Reimer, R. Zhu, J. M. Kahn, and M. Lončar, Broadband electro-optic frequency comb generation in a lithium niobate microring resonator, Nature (London) 568, 373 (2019).
  39. A. Rueda, F. Sedlmeir, M. Kumari, G. Leuchs, and H. G. L. Schwefel, Resonant electro-optic frequency comb, Nature (London) 568, 378 (2019).
  40. J. A. Haigh, N. J. Lambert, S. Sharma, Y. M. Blanter, G. E. W. Bauer, and A. J. Ramsay, Selection rules for cavity-enhanced Brillouin light scattering from magnetostatic modes, Phys. Rev. B 97, 214423 (2018).
  41. S. J. Herr, K. Buse, and I. Breunig, LED-pumped whispering-gallery laser, Photon. Res. 5, B34 (2017).
  42. N. Toropov, G. Cabello, M. P. Serrano, R. R. Gutha, M. Rafti, and F. Vollmer, Review of biosensing with whispering-gallery mode lasers, Light Sci. Appl. 10, 42 (2021).
  43. F. Azeem, L. S. Trainor, A. Gao, M. Isarov, D. V. Strekalov, and H. G. L. Schwefel, Ultra-low threshold titanium-doped sapphire whispering-gallery laser, Adv. Opt. Mater. 10, 2102137 (2022).
  44. D. L. McAuslan, D. Korystov, and J. J. Longdell, Coherent spectroscopy of rare-earth-metal-ion-doped whispering-gallery-mode resonators, Phys. Rev. A 83, 063847 (2011).
  45. I. S. Grudinin, V. S. Ilchenko, and L. Maleki, Ultrahigh optical Q factors of crystalline resonators in the linear regime, Phys. Rev. A 74, 063806 (2006).
  46. Y. Sun, T. Böttger, C. W. Thiel, and R. L. Cone, Magnetic g tensors for the I15/24 and I13/24 states of Er3+:Y2SiO5, Phys. Rev. B 77, 085124 (2008).
  47. A. Rueda, F. Sedlmeir, M. C. Collodo, U. Vogl, B. Stiller, G. Schunk, D. V. Strekalov, C. Marquardt, J. M. Fink, O. Painter, G. Leuchs, and H. G. L. Schwefel, Efficient microwave to optical photon conversion: An electro-optical realization, Optica 3, 597 (2016).
  48. M. Mitsunaga, E. S. Kintzer, and R. G. Brewer, Raman heterodyne interference: Observations and analytic theory, Phys. Rev. B 31, 6947 (1985).
  49. E. S. Kintzer, M. Mitsunaga, and R. G. Brewer, Raman heterodyne interference: Symmetry analysis, Phys. Rev. B 31, 6958 (1985).
  50. H. Hirata, T. Kuyama, M. Ono, and Y. Shimoyama, Detection of electron paramagnetic resonance absorption using frequency modulation, J. Magn. Reson. 164, 233 (2003).
  51. J. S. Hyde, W. Froncisz, J. W. Sidabras, T. G. Camenisch, J. R. Anderson, and R. A. Strangeway, Microwave frequency modulation in CW EPR at W-band using a loop-gap resonator, J. Magn. Reson. 185, 259 (2007).
  52. Y.-H. Chen, X. Fernandez-Gonzalvo, S. P. Horvath, J. V. Rakonjac, and J. J. Longdell, Hyperfine interactions of Er3+ ions in Y2SiO5: Electron paramagnetic resonance in a tunable microwave cavity, Phys. Rev. B 97, 024419 (2018).
  53. L. Neuhaus, R. Metzdorff, S. Chua, T. Jacqmin, T. Briant, A. Heidmann, P.-F. Cohadon, and S. Deléglise, PyRPL (Python Red Pitaya Lockbox) - an open-source software package for FPGA-controlled quantum optics experiments, in 2017 European Conference on Lasers and Electro-Optics and European Quantum Electronics Conference (IEEE, New York, 2017), p. EA_P_8.
  54. C. Yu, J. Janousek, E. Sheridan, D. L. McAuslan, H. Rubinsztein-Dunlop, P. K. Lam, Y. Zhang, and W. P. Bowen, Optomechanical Magnetometry with a Macroscopic Resonator, Phys. Rev. Appl. 5, 044007 (2016).
  55. J. Li, H. Lee, K. Y. Yang, and K. J. Vahala, Sideband spectroscopy and dispersion measurement in microcavities, Opt. Express 20, 26337 (2012).
  56. Y. A. Demchenko and M. L. Gorodetsky, Analytical estimates of eigenfrequencies, dispersion, and field distribution in whispering gallery resonators, J. Opt. Soc. Am. B 30, 3056 (2013).
  57. I. Breunig, B. Sturman, F. Sedlmeir, H. G. L. Schwefel, and K. Buse, Whispering gallery modes at the rim of an axisymmetric optical resonator: Analytical versus numerical description and comparison with experiment, Opt. Express 21, 30683 (2013).
  58. D. L. McAuslan, J. J. Longdell, and M. J. Sellars, Strong-coupling cavity QED using rare-earth-metal-ion dopants in monolithic resonators: What you can do with a weak oscillator, Phys. Rev. A 80, 062307 (2009).
  59. C. W. Thiel, T. Böttger, and R. L. Cone, Rare-earth-doped materials for applications in quantum information storage and signal processing, Selected Papers from DPC'10, J. Lumin. 131, 353 (2011).
  60. T. Böttger, Y. Sun, C. W. Thiel, and R. L. Cone, Spectroscopy and dynamics of Er3+:Y2SiO5 at 1.5µm, Phys. Rev. B 74, 075107 (2006).
  61. J. Mlynek, N. C. Wong, R. G. DeVoe, E. S. Kintzer, and R. G. Brewer, Raman Heterodyne Detection of Nuclear Magnetic Resonance, Phys. Rev. Lett. 50, 993 (1983).
  62. X. Fernandez-Gonzalvo, Y.-H. Chen, C. Yin, S. Rogge, and J. J. Longdell, Coherent frequency up-conversion of microwaves to the optical telecommunications band in an Er:YSO crystal, Phys. Rev. A 92, 062313 (2015).
  63. G. G. G. King, P. S. Barnett, J. G. Bartholomew, A. Faraon, and J. J. Longdell, Probing strong coupling between a microwave cavity and a spin ensemble with Raman heterodyne spectroscopy, Phys. Rev. B 103, 214305 (2021).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation