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Colloquium: Atomtronic circuits: From many-body physics to quantum technologies
Rev. Mod. Phys. 94, 041001 – Published 18 November, 2022
DOI: https://doi.org/10.1103/RevModPhys.94.041001
Abstract
Atomtronics is an emerging field that aims to manipulate ultracold atom moving in matter-wave circuits for fundamental studies in both quantum science and technological applications. In this Colloquium, recent progress in matter-wave circuitry and atomtronics-based quantum technology is reviewed. After an introduction to the basic physical principles and the key experimental techniques needed to realize atomtronic systems, the physics of matter waves in simple circuits such as ring traps and two-terminal systems is described. The main experimental observations and outstanding questions are discussed. Also presented are possible applications to a broad range of quantum technologies, from quantum sensing with atom interferometry to future quantum simulation and quantum computation architectures.
Physics Subject Headings (PhySH)
Article Text
References (487)
- Abad, M., 2016, Phys. Rev. A 93, 033603.
- Abad, M., A. Sartori, S. Finazzi, and A. Recati, 2014, Phys. Rev. A 89, 053602.
- Affleck, I., 1988, Nucl. Phys. B305, 582.
- Aghamalyan, D., 2015, Ph.D. thesis (National University of Singapore).
- Aghamalyan, D., L. Amico, and L. C. Kwek, 2013, Phys. Rev. A 88, 063627.
- Aghamalyan, D., M. Cominotti, M. Rizzi, D. Rossini, F. Hekking, A. Minguzzi, L. C. Kwek, and L. Amico, 2015, New J. Phys. 17, 045023.
- Aghamalyan, D., N. Nguyen, F. Auksztol, K. Gan, M. M. Valado, P. Condylis, L. Kwek, R. Dumke, and L. Amico, 2016, New J. Phys. 18, 075013.
- Aharonov, Y., and D. Bohm, 1959, Phys. Rev. 115, 485.
- Akatsuka, T., T. Takahashi, and H. Katori, 2017, Appl. Phys. Express 10, 112501.
- Albiez, M., R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, 2005, Phys. Rev. Lett. 95, 010402.
- Amico, L., 2000, Mod. Phys. Lett. B 14, 759.
- Amico, L., D. Aghamalyan, F. Auksztol, H. Crepaz, R. Dumke, and L. C. Kwek, 2014, Sci. Rep. 4, 4298.
- Amico, L., G. Birkl, M. Boshier, and L.-C. Kwek, 2017, New J. Phys. 19, 020201.
- Amico, L., and V. Korepin, 2004, Ann. Phys. (N.Y.) 314, 496.
- Amico, L., A. Osterloh, and F. Cataliotti, 2005, Phys. Rev. Lett. 95, 063201.
- Amico, L., and V. Penna, 2000, Phys. Rev. B 62, 1224.
- Amico, L., et al., 2021, AVS Quantum Sci. 3, 039201.
- Anderson, D. Z., 2021, arXiv:2106.10550.
- Andersson, E., T. Calarco, R. Folman, M. Andersson, B. Hessmo, and J. Schmiedmayer, 2002, Phys. Rev. Lett. 88, 100401.
- Andrei, N., 1995, Low-Dimensional Quantum Field Theories for Condensed Matter Physicists (World Scientific, Singapore), p. 457.
- Andrews, M. R., C. G. Townsend, H.-J. Miesner, D. S. Durfee, D. M. Kurn, and W. Ketterle, 1997, Science 275, 637.
- Anoshkin, K., Z. Wu, and E. Zaremba, 2013, Phys. Rev. A 88, 013609.
- Arabahmadi, E., D. Schumayer, and D. A. W. Hutchinson, 2021, Phys. Rev. A 103, 043319.
- Archimi, M., C. Simonelli, L. Di Virgilio, A. Greco, M. Ceccanti, E. Arimondo, D. Ciampini, I. Ryabtsev, I. Beterov, and O. Morsch, 2019, Phys. Rev. A 100, 030501.
- Arimondo, E., W. Ertmer, W. Schleich, and E. Rasel, 2009, Atom Optics and Space Physics, Proceedings of the International School of Physics “Enrico Fermi,” Course CLXVIII, edited by E. Arimondo, W. Ertmer, E. M. Rasel, and W. P. Schleich (IOS Press, Amsterdam).
- Arlt, J., T. Hitomi, and K. Dholakia, 2000, Appl. Phys. B 71, 549.
- Arnold, A. S., C. S. Garvie, and E. Riis, 2006, Phys. Rev. A 73, 041606.
- Arnold, A. S., C. MacCormick, and M. G. Boshier, 2002, Phys. Rev. A 65, 031601.
- Averin, D., and A. Bardas, 1995, Phys. Rev. Lett. 75, 1831.
- Baeriswyl, D., D. K. Campbell, J. M. Carmelo, F. Guinea, and E. Louis, 2013, Eds., The Hubbard Model: Its Physics and Mathematical Physics, NATO Science Series B Vol. 343 (Springer Science+Business Media, New York).
- Baiborodov, Y. T., M. S. Ioffe, V. M. Petrov, and R. I. Sobolev, 1963, J. Nucl. Energy, Part C 5, 409.
- Barontini, G., R. Labouvie, F. Stubenrauch, A. Vogler, V. Guarrera, and H. Ott, 2013, Phys. Rev. Lett. 110, 035302.
- Barredo, D., V. Lienhard, S. De Leseleuc, T. Lahaye, and A. Browaeys, 2018, Nature (London) 561, 79.
- Beattie, S., S. Moulder, R. J. Fletcher, and Z. Hadzibabic, 2013, Phys. Rev. Lett. 110, 025301.
- Bell, T. A., G. Gauthier, T. W. Neely, H. Rubinsztein-Dunlop, M. J. Davis, and M. A. Baker, 2018, Phys. Rev. A 98, 013604.
- Bell, T. A., J. A. P. Glidden, L. Humbert, M. W. J. Bromley, S. A. Haine, M. J. Davis, T. W. Neely, M. A. Baker, and H. Rubinsztein-Dunlop, 2016, New J. Phys. 18, 035003.
- Bentine, E., T. L. Harte, K. Luksch, A. J. Barker, J. Mur-Petit, B. Yuen, and C. J. Foot, 2017, J. Opt. B 50, 094002.
- Bernon, S., et al., 2013, Nat. Commun. 4, 2380.
- Betz, T., et al., 2011, Phys. Rev. Lett. 106, 020407.
- Binanti, F., K. Furutani, and L. Salasnich, 2021, Phys. Rev. A 103, 063309.
- Birkl, G., F. Buchkremer, R. Dumke, and W. Ertmer, 2001, Opt. Commun. 191, 67.
- Bleszynski-Jayich, A., W. Shanks, B. Peaudecerf, E. Ginossar, Von Oppen, F., L. Glazman, and J. Harris, 2009, Science 326, 272.
- Bloch, I., 2005, Nat. Phys. 1, 23.
- Bloch, I., J. Dalibard, and W. Zwerger, 2008, Rev. Mod. Phys. 80, 885.
- Böhi, P., M. F. Riedel, J. Hoffrogge, J. Reichel, T. W. Hänsch, and P. Treutlein, 2009, Nat. Phys. 5, 592.
- Bongs, K., S. Burger, S. Dettmer, D. Hellweg, J. Arlt, W. Ertmer, and K. Sengstock, 2001, Phys. Rev. A 63, 031602(R).
- Bongs, K., M. Holynski, J. Vovrosh, P. Bouyer, G. Condon, E. Rasel, C. Schubert, W. P. Schleich, and A. Roura, 2019, Nat. Rev. Phys. 1, 731.
- Boyer, V., C. M. Chandrashekar, C. J. Foot, and Z. J. Laczik, 2004, J. Mod. Opt. 51, 2235.
- Boyer, V., R. M. Godun, G. Smirne, D. Cassettari, C. M. Chandrashekar, A. B. Deb, Z. J. Laczik, and C. J. Foot, 2006, Phys. Rev. A 73, 031402.
- Brantut, J.-P., C. Grenier, J. Meineke, D. Stadler, S. Krinner, C. Kollath, T. Esslinger, and A. Georges, 2013, Science 342, 713.
- Brantut, J.-P., J. Meineke, D. Stadler, S. Krinner, and T. Esslinger, 2012, Science 337, 1069.
- Bruderer, M., and W. Belzig, 2012, Phys. Rev. A 85, 013623.
- Buluta, I., and F. Nori, 2009, Science 326, 108.
- Burchianti, A., F. Scazza, A. Amico, G. Valtolina, J. A. Seman, C. Fort, M. Zaccanti, M. Inguscio, and G. Roati, 2018, Phys. Rev. Lett. 120, 025302.
- Burke, J. H. T., B. Deissler, K. J. Hughes, and C. A. Sackett, 2008, Phys. Rev. A 78, 023619.
- Burke, J. H. T., and C. A. Sackett, 2009, Phys. Rev. A 80, 061603.
- Büttiker, M., Y. Imry, and M. Y. Azbel, 1984, Phys. Rev. A 30, 1982.
- Büttiker, M., Y. Imry, and R. Landauer, 1983, Phys. Lett. 96A, 365.
- Byers, N., and C. Yang, 1961, Phys. Rev. Lett. 7, 46.
- Cai, Y., D. G. Allman, P. Sabharwal, and K. C. Wright, 2022, Phys. Rev. Lett. 128, 150401.
- Caldeira, A. O., and A. J. Leggett, 1983, Physica (Amsterdam) 121A, 587.
- Caliga, S. C., C. J. Straatsma, and D. Z. Anderson, 2016, New J. Phys. 18, 025010.
- Caliga, S. C., C. J. Straatsma, and D. Z. Anderson, 2017, New J. Phys. 19, 013036.
- Caliga, S. C., C. J. Straatsma, A. A. Zozulya, and D. Z. Anderson, 2016, New J. Phys. 18, 015012.
- Caliga, S. C., C. J. E. Straatsma, A. A. Zozulya, and D. Z. Anderson, 2012, arXiv:1208.3109.
- Calogero, F., and A. Degasperis, 1975, Phys. Rev. A 11, 265.
- Cano, D., B. Kasch, H. Hattermann, R. Kleiner, C. Zimmermann, D. Koelle, and J. Fortágh, 2008, Phys. Rev. Lett. 101, 183006.
- Cappellini, G., et al., 2014, Phys. Rev. Lett. 113, 120402.
- Capponi, S., P. Lecheminant, and K. Totsuka, 2016, Ann. Phys. (N.Y.) 367, 50.
- Cassettari, D., B. Hessmo, R. Folman, T. Maier, and J. Schmiedmayer, 2000, Phys. Rev. Lett. 85, 5483.
- Cazalilla, M. A., R. Citro, T. Giamarchi, E. Orignac, and M. Rigol, 2011, Rev. Mod. Phys. 83, 1405.
- Cazalilla, M. A., A. Ho, and M. Ueda, 2009, New J. Phys. 11, 103033.
- Cazalilla, M. A., and A. M. Rey, 2014, Rep. Prog. Phys. 77, 124401.
- Celi, A., P. Massignan, J. Ruseckas, N. Goldman, I. B. Spielman, G. Juzeliūnas, and M. Lewenstein, 2014, Phys. Rev. Lett. 112, 043001.
- Chakraborty, T., and P. Pietiläinen, 1994, Phys. Rev. B 50, 8460.
- Chetcuti, W. J., T. Haug, L. C. Kwek, and L. Amico, 2022, SciPost Phys. 12, 033.
- Chetcuti, W. J., A. Osterloh, L. Amico, and J. Polo, 2022, arXiv:2206.02807.
- Chetcuti, W. J., J. Polo, A. Osterloh, P. Castorina, and L. Amico, 2021, arXiv:2112.06950.
- Chien, C.-C., M. Di Ventra, and M. Zwolak, 2014, Phys. Rev. A 90, 023624.
- Choy, T., and F. Haldane, 1982, Phys. Lett. 90A, 83.
- Cirac, J. I., and P. Zoller, 2012, Nat. Phys. 8, 264.
- Clark, L. W., A. Gaj, L. Feng, and C. Chin, 2017, Nature (London) 551, 356.
- Cohen-Tannoudji, C., and S. Reynaud, 1977, J. Phys. B 10, 345.
- Colombe, Y., E. Knyazchyan, O. Morizot, B. Mercier, V. Lorent, and H. Perrin, 2004, Europhys. Lett. 67, 593.
- Cominotti, M., M. Rizzi, D. Rossini, D. Aghamalyan, L. Amico, L. C. Kwek, F. Hekking, and A. Minguzzi, 2015, Eur. Phys. J. Special Topics 224, 519.
- Cominotti, M., D. Rossini, M. Rizzi, F. Hekking, and A. Minguzzi, 2014, Phys. Rev. Lett. 113, 025301.
- Corman, L., L. Chomaz, T. Bienaimé, R. Desbuquois, C. Weitenberg, S. Nascimbene, J. Dalibard, and J. Beugnon, 2014, Phys. Rev. Lett. 113, 135302.
- Corman, L., P. Fabritius, S. Häusler, J. Mohan, L. H. Dogra, D. Husmann, M. Lebrat, and T. Esslinger, 2019, Phys. Rev. A 100, 053605.
- Cornell, E. A., and C. E. Wieman, 2002, Rev. Mod. Phys. 74, 875.
- Couvert, A., M. Jeppesen, T. Kawalec, G. Reinaudi, R. Mathevet, and D. Guéry-Odelin, 2008, Europhys. Lett. 83, 50001.
- Crompvoets, F. M., H. L. Bethlem, R. T. Jongma, and G. Meijer, 2001, Nature (London) 411, 174.
- Cronin, A. D., J. Schmiedmayer, and D. E. Pritchard, 2009, Rev. Mod. Phys. 81, 1051.
- Cuevas, J. C., and E. Scheer, 2017, Molecular Electronics, Vol. 15 (World Scientific, Singapore).
- Curtis, J. E., B. A. Koss, and D. G. Grier, 2002, Opt. Commun. 207, 169.
- Daley, A., P. Zoller, and B. Trauzettel, 2008, Phys. Rev. Lett. 100, 110404.
- Dalfovo, F., S. Giorgini, L. P. Pitaevskii, and S. Stringari, 1999, Rev. Mod. Phys. 71, 463.
- Dalibard, J., F. Gerbier, G. Juzeliūnas, and P. Öhberg, 2011, Rev. Mod. Phys. 83, 1523.
- Dall, R. G., S. S. Hodgman, M. T. Johnsson, K. G. H. Baldwin, and A. G. Truscott, 2010, Phys. Rev. A 81, 011602.
- Damanet, F., E. Mascarenhas, D. Pekker, and A. J. Daley, 2019a, Phys. Rev. Lett. 123, 180402.
- Damanet, F., E. Mascarenhas, D. Pekker, and A. J. Daley, 2019b, New J. Phys. 21, 115001.
- Danshita, I., and A. Polkovnikov, 2012, Phys. Rev. A 85, 023638.
- David, T., Y. Japha, V. Dikovsky, R. Salem, C. Henkel, and R. Folman, 2008, Eur. Phys. J. D 48, 321.
- Davis, T. J., 1999, J. Opt. B 1, 408.
- Deaver, B. S., and W. M. Fairbank, 1961, Phys. Rev. Lett. 7, 43.
- Degen, C. L., F. Reinhard, and P. Cappellaro, 2017, Rev. Mod. Phys. 89, 035002.
- Deissler, B., K. Hughes, J. Burke, and C. Sackett, 2008, Phys. Rev. A 77, 031604.
- Dekker, N. H., C. S. Lee, V. Lorent, J. H. Thywissen, S. P. Smith, M. Drndić, R. M. Westervelt, and M. Prentiss, 2000, Phys. Rev. Lett. 84, 1124.
- del Campo, A., M. G. Boshier, and A. Saxena, 2014, Sci. Rep. 4, 5274.
- Del Pace, G., W. J. Kwon, M. Zaccanti, G. Roati, and F. Scazza, 2021, Phys. Rev. Lett. 126, 055301.
- Del Pace, G., K. Xhani, A. M. Falconi, M. Fedrizzi, N. Grani, D. H. Rajkov, M. Inguscio, F. Scazza, W. Kwon, and G. Roati, 2022, arXiv:2204.06542.
- Denschlag, J., D. Cassettari, A. Chenet, S. Schneider, and J. Schmiedmayer, 1999, Appl. Phys. B 69, 291.
- Denschlag, J., D. Cassettari, and J. Schmiedmayer, 1999, Phys. Rev. Lett. 82, 2014.
- Dikovsky, V., Y. Japha, C. Henkel, and R. Folman, 2005, Eur. Phys. J. D 35, 87.
- Diot, D., Y.-J. Wang, D. Anderson, E. Cornell, R. Saravanan, V. Bright, and M. Prentiss, 2004, Proceedings of the International Quantum Electronics Conference, San Francisco, 2004 (Optica Publishing Group, Washington, DC), p. 60, 10.1364/IQEC.2004.IME1.
- Dowling, J. P., and G. J. Milburn, 2003, Phil. Trans. R. Soc. A 361, 1655.
- Dubessy, R., T. Liennard, P. Pedri, and H. Perrin, 2012, Phys. Rev. A 86, 011602.
- Dubessy, R., J. Polo, H. Perrin, A. Minguzzi, and M. Olshanii, 2021, Phys. Rev. Research 3, 013098.
- Dumke, R., T. Müther, M. Volk, W. Ertmer, and G. Birkl, 2002, Phys. Rev. Lett. 89, 220402.
- Dutta, O., M. Gajda, P. Hauke, M. Lewenstein, D.-S. Lühmann, B. A. Malomed, T. Sowiński, and J. Zakrzewski, 2015, Rep. Prog. Phys. 78, 066001.
- Eckel, S., F. Jendrzejewski, A. Kumar, C. J. Lobb, and G. K. Campbell, 2014, Phys. Rev. X 4, 031052.
- Eckel, S., A. Kumar, T. Jacobson, I. B. Spielman, and G. K. Campbell, 2018, Phys. Rev. X 8, 021021.
- Eckel, S., J. G. Lee, F. Jendrzejewski, C. J. Lobb, G. K. Campbell, and W. T. Hill, 2016, Phys. Rev. A 93, 063619.
- Eckel, S., J. G. Lee, F. Jendrzejewski, N. Murray, C. W. Clark, C. J. Lobb, W. D. Phillips, M. Edwards, and G. K. Campbell, 2014, Nature (London) 506, 200.
- Eller, B., O. Oladehin, D. Fogarty, C. Heller, C. W. Clark, and M. Edwards, 2020, Phys. Rev. A 102, 063324.
- Essler, F. H., H. Frahm, F. Göhmann, A. Klümper, and V. E. Korepin, 2005, The One-Dimensional Hubbard Model (Cambridge University Press, Cambridge, England).
- Fabre, C. M., P. Cheiney, G. L. Gattobigio, F. Vermersch, S. Faure, R. Mathevet, T. Lahaye, and D. Guéry-Odelin, 2011, Phys. Rev. Lett. 107, 230401.
- Faddeev, L., and L. Takhtajan, 2007, Hamiltonian Methods in the Theory of Solitons (Springer Science+Business Media, New York).
- Fazio, R., and Van Der Zant, H., 2001, Phys. Rep. 355, 235.
- Fernholz, T., R. Gerritsma, S. Whitlock, I. Barb, and R. J. C. Spreeuw, 2008, Phys. Rev. A 77, 033409.
- Filippone, M., F. Hekking, and A. Minguzzi, 2016, Phys. Rev. A 93, 011602.
- Fisher, M. P., P. B. Weichman, G. Grinstein, and D. S. Fisher, 1989, Phys. Rev. B 40, 546.
- Folman, R., P. Krüger, D. Cassettari, B. Hessmo, T. Maier, and J. Schmiedmayer, 2000, Phys. Rev. Lett. 84, 4749.
- Folman, R., P. Krüger, J. Schmiedmayer, J. Denschlag, and C. Henkel, 2002, in Advances in Atomic, Molecular, and Optical Physics, Vol. 48, edited by B. Bederson and H. Walther (Elsevier, New York), pp. 263–356.
- Fortágh, J., and C. Zimmermann, 2007, Rev. Mod. Phys. 79, 235.
- Franke-Arnold, S., J. Leach, M. Padgett, V. Lembessis, D. Ellinas, A. Wright, J. Girkin, P. Ohberg, and A. Arnold, 2007, Opt. Express 15, 8619.
- Friedman, N., A. Kaplan, D. Carasso, and N. Davidson, 2001, Phys. Rev. Lett. 86, 1518.
- Frye, K., et al., 2021, Eur. Phys. J. Quantum Technol. 8, 1.
- Fu, H., Z. Zhang, K.-X. Yao, L. Feng, J. Yoo, L. W. Clark, K. Levin, and C. Chin, 2020, Phys. Rev. Lett. 125, 183003.
- Gallego-Marcos, F., G. Platero, C. Nietner, G. Schaller, and T. Brandes, 2014, Phys. Rev. A 90, 033614.
- Gallemí, A., M. Guilleumas, M. Richard, and A. Minguzzi, 2018, Phys. Rev. B 98, 104502.
- Garcia, O., B. Deissler, K. J. Hughes, J. M. Reeves, and C. A. Sackett, 2006, Phys. Rev. A 74, 031601.
- Garraway, B. M., and H. Perrin, 2016, J. Opt. B 49, 172001.
- Gati, R., B. Hemmerling, J. Fölling, M. Albiez, and M. K. Oberthaler, 2006, Phys. Rev. Lett. 96, 130404.
- Gattobigio, G. L., A. Couvert, G. Reinaudi, B. Georgeot, and D. Guéry-Odelin, 2012, Phys. Rev. Lett. 109, 030403.
- Gaunt, A. L., and Z. Hadzibabic, 2012, Sci. Rep. 2, 721.
- Gauthier, G., T. A. Bell, A. B. Stilgoe, M. Baker, H. Rubinsztein-Dunlop, and T. W. Neely, 2021, in Advances in Atomic, Molecular, and Optical Physics, Vol. 70, edited by L. F. Dimauro, H. Perrin, and S. F. Yelin (Elsevier, New York), p. 1.
- Gauthier, G., I. Lenton, N. M. Parry, M. Baker, M. Davis, H. Rubinsztein-Dunlop, and T. Neely, 2016, Optica 3, 1136.
- Gauthier, G., S. S. Szigeti, M. T. Reeves, M. Baker, T. A. Bell, H. Rubinsztein-Dunlop, M. J. Davis, and T. W. Neely, 2019, Phys. Rev. Lett. 123, 260402.
- Gefen, Y., Y. Imry, and M. Y. Azbel, 1984, Phys. Rev. Lett. 52, 129.
- Gehr, R., J. Volz, G. Dubois, T. Steinmetz, Y. Colombe, B. L. Lev, R. Long, J. Esteve, and J. Reichel, 2010, Phys. Rev. Lett. 104, 203602.
- Geiger, R., A. Landragin, S. Merlet, and F. Pereira Dos Santos, 2020, AVS Quantum Sci. 2, 024702.
- Geiger, R., et al., 2011, Nat. Commun. 2, 474.
- Giamarchi, T., 2003, Quantum Physics in One Dimension, Vol. 121 (Clarendon Press, Oxford).
- Giovanazzi, S., J. Esteve, and M. K. Oberthaler, 2008, New J. Phys. 10, 045009.
- Giovanazzi, S., A. Smerzi, and S. Fantoni, 2000, Phys. Rev. Lett. 84, 4521.
- Goldman, N., G. Juzeliūnas, P. Öhberg, and I. B. Spielman, 2014, Rep. Prog. Phys. 77, 126401.
- Grenier, C., A. Georges, and C. Kollath, 2014, Phys. Rev. Lett. 113, 200601.
- Grenier, C., C. Kollath, and A. Georges, 2016, C.R. Phys. 17, 1161.
- Grimm, R., M. Weidemüller, and Y. B. Ovchinnikov, 2000, in Advances in Atomic, Molecular, and Optical Physics, Vol. 42, edited by B. Bederson and H. Walther (Academic Press, New York), pp. 95–170.
- Gring, M., M. Kuhnert, T. Langen, T. Kitagawa, B. Rauer, M. Schreitl, I. Mazets, D. A. Smith, E. Demler, and J. Schmiedmayer, 2012, Science 337, 1318.
- Gritsev, V., A. Polkovnikov, and E. Demler, 2007, Phys. Rev. B 75, 174511.
- Guan, X.-W., M. T. Batchelor, and C. Lee, 2013, Rev. Mod. Phys. 85, 1633.
- Guarrera, V., R. Moore, A. Bunting, T. Vanderbruggen, and Y. B. Ovchinnikov, 2017, Sci. Rep. 7, 4749.
- Guerin, W., J.-F. Riou, J. P. Gaebler, V. Josse, P. Bouyer, and A. Aspect, 2006, Phys. Rev. Lett. 97, 200402.
- Günther, A., S. Kraft, C. Zimmermann, and J. Fortágh, 2007, Phys. Rev. Lett. 98, 140403.
- Guo, Y., R. Dubessy, M. de Goër de Herve, A. Kumar, T. Badr, A. Perrin, L. Longchambon, and H. Perrin, 2020, Phys. Rev. Lett. 124, 025301.
- Gupta, S., K. Murch, K. Moore, T. Purdy, and D. Stamper-Kurn, 2005, Phys. Rev. Lett. 95, 143201.
- Gustavson, T. L., P. Bouyer, and M. A. Kasevich, 1997, Phys. Rev. Lett. 78, 2046.
- Gustavson, T. L., A. Landragin, and M. A. Kasevich, 2000, Classical Quantum Gravity 17, 2385.
- Gutiérrez-Medina, B., 2013, Am. J. Phys. 81, 104.
- Gutman, D. B., Y. Gefen, and A. D. Mirlin, 2012, Phys. Rev. B 85, 125102.
- Gutzwiller, M. C., 1963, Phys. Rev. Lett. 10, 159.
- Ha, L.-C., L. W. Clark, C. V. Parker, B. M. Anderson, and C. Chin, 2015, Phys. Rev. Lett. 114, 055301.
- Hafele, J. C., and R. E. Keating, 1972, Science 177, 168.
- Haine, S. A., 2018, New J. Phys. 20, 033009.
- Haldane, F., 1980, Phys. Lett. 80A, 281.
- Halkyard, P. L., M. P. A. Jones, and S. A. Gardiner, 2010, Phys. Rev. A 81, 061602(R).
- Hallwood, D. W., K. Burnett, and J. Dunningham, 2006, New J. Phys. 8, 180.
- Hallwood, D. W., K. Burnett, and J. Dunningham, 2007, J. Mod. Opt. 54, 2129.
- Hallwood, D. W., T. Ernst, and J. Brand, 2010, Phys. Rev. A 82, 063623.
- Hänsel, W., P. Hommelhoff, T. Hänsch, and J. Reichel, 2001, Nature (London) 413, 498.
- Haroche, S., and J.-M. Raimond, 2006, Exploring the Quantum: Atoms, Cavities, and Photons (Oxford University Press, New York).
- Hattermann, H., D. Bothner, L. Ley, B. Ferdinand, D. Wiedmaier, L. Sárkány, R. Kleiner, D. Koelle, and J. Fortágh, 2017, Nat. Commun. 8, 2254.
- Haug, T., L. Amico, R. Dumke, and L.-C. Kwek, 2018, Quantum Sci. Technol. 3, 035006.
- Haug, T., R. Dumke, L.-C. Kwek, and L. Amico, 2019a, Quantum Sci. Technol. 4, 045001.
- Haug, T., R. Dumke, L.-C. Kwek, and L. Amico, 2019b, Commun. Phys. 2, 127.
- Haug, T., R. Dumke, L.-C. Kwek, C. Miniatura, and L. Amico, 2021, Phys. Rev. Research 3, 013034.
- Haug, T., H. Heimonen, R. Dumke, L.-C. Kwek, and L. Amico, 2019, Phys. Rev. A 100, 041601.
- Haug, T., J. Tan, M. Theng, R. Dumke, L.-C. Kwek, and L. Amico, 2018, Phys. Rev. A 97, 013633.
- Häusler, S., P. Fabritius, J. Mohan, M. Lebrat, L. Corman, and T. Esslinger, 2021, Phys. Rev. X 11, 021034.
- Häusler, S., S. Nakajima, M. Lebrat, D. Husmann, S. Krinner, T. Esslinger, and J.-P. Brantut, 2017, Phys. Rev. Lett. 119, 030403.
- He, L., M. Jin, and P. Zhuang, 2006, Phys. Rev. A 74, 033604.
- Hekking, F., and L. Glazman, 1997, Phys. Rev. B 55, 6551.
- Helm, J., S. Rooney, C. Weiss, and S. Gardiner, 2014, Phys. Rev. A 89, 033610.
- Helm, J. L., T. P. Billam, and S. A. Gardiner, 2012, Phys. Rev. A 85, 053621.
- Helm, J. L., T. P. Billam, A. Rakonjac, S. L. Cornish, and S. A. Gardiner, 2018, Phys. Rev. Lett. 120, 063201.
- Helm, J. L., S. L. Cornish, and S. A. Gardiner, 2015, Phys. Rev. Lett. 114, 134101.
- Henderson, K., C. Ryu, C. MacCormick, and M. G. Boshier, 2009, New J. Phys. 11, 043030.
- Henkel, C., P. Kruger, R. Folman, and J. Schmiedmayer, 2003, Appl. Phys. B 76, 173.
- Hod, O., R. Baer, and E. Rabani, 2006, Phys. Rev. Lett. 97, 266803.
- Hodby, E., G. Hechenblaikner, O. M. Marago, J. Arlt, S. Hopkins, and C. J. Foot, 2000, J. Phys. B 33, 4087.
- Hofferberth, S., I. Lesanovsky, B. Fischer, T. Schumm, and J. Schmiedmayer, 2007, Nature (London) 449, 324.
- Hofferberth, S., I. Lesanovsky, B. Fischer, J. Verdu, and J. Schmiedmayer, 2006, Nat. Phys. 2, 710.
- Hofferberth, S., I. Lesanovsky, T. Schumm, A. Imambekov, V. Gritsev, E. Demler, and J. Schmiedmayer, 2008, Nat. Phys. 4, 489.
- Houde, O., D. Kadio, and L. Pruvost, 2000, Phys. Rev. Lett. 85, 5543.
- Hubbard, J., 1963, Proc. R. Soc. A 276, 238.
- Hueck, K., A. Mazurenko, N. Luick, T. Lompe, and H. Moritz, 2017, Rev. Sci. Instrum. 88, 016103.
- Husmann, D., M. Lebrat, S. Häusler, J.-P. Brantut, L. Corman, and T. Esslinger, 2018, Proc. Natl. Acad. Sci. U.S.A. 115, 8563.
- Husmann, D., S. Uchino, S. Krinner, M. Lebrat, T. Giamarchi, T. Esslinger, and J.-P. Brantut, 2015, Science 350, 1498.
- Hyafil, P., J. Mozley, A. Perrin, J. Tailleur, G. Nogues, M. Brune, J. M. Raimond, and S. Haroche, 2004, Phys. Rev. Lett. 93, 103001.
- Imry, Y., 2002, Introduction to Mesoscopic Physics (Oxford University Press, New York).
- Imry, Y., and R. Landauer, 1999, Rev. Mod. Phys. 71, S306.
- Ivanov, A., G. Kordas, A. Komnik, and S. Wimberger, 2013, Eur. Phys. J. B 86, 345.
- Jagla, E., and C. Balseiro, 1993, Phys. Rev. Lett. 70, 639.
- Jaksch, D., C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, 1998, Phys. Rev. Lett. 81, 3108.
- Japha, Y., O. Arzouan, Y. Avishai, and R. Folman, 2007, Phys. Rev. Lett. 99, 060402.
- Jaroszewicz, L. R., A. Kurzych, Z. Krajewski, P. Marć, J. K. Kowalski, P. Bobra, Z. Zembaty, B. Sakowicz, and R. Jankowski, 2016, Sensors 16, 2161.
- Jendrzejewski, F., S. Eckel, N. Murray, C. Lanier, M. Edwards, C. J. Lobb, and G. K. Campbell, 2014, Phys. Rev. Lett. 113, 045305.
- Jo, G. B., J. H. Choi, C. A. Christensen, T. A. Pasquini, Y. R. Lee, W. Ketterle, and D. E. Pritchard, 2007, Phys. Rev. Lett. 98, 180401.
- Jördens, R., N. Strohmaier, K. Günter, H. Moritz, and T. Esslinger, 2008, Nature (London) 455, 204.
- Kanamori, J., 1963, Prog. Theor. Phys. 30, 275.
- Kanász-Nagy, M., L. Glazman, T. Esslinger, and E. A. Demler, 2016, Phys. Rev. Lett. 117, 255302.
- Keck, M., D. Rossini, and R. Fazio, 2018, Phys. Rev. A 98, 053812.
- Keil, M., O. Amit, S. Zhou, D. Groswasser, Y. Japha, and R. Folman, 2016, J. Mod. Opt. 63, 1840.
- Ketterle, W., 2002, Rev. Mod. Phys. 74, 1131.
- Khondker, A., M. R. Khan, and A. Anwar, 1988, J. Appl. Phys. 63, 5191.
- Kim, H., K. Krzyzanowska, K. C. Henderson, C. Ryu, E. Timmermans, and M. Boshier, 2022, arXiv:22201.11888.
- Kim, S. J., H. Yu, S. T. Gang, and J. B. Kim, 2017, Appl. Phys. B 123, 154.
- Kolovsky, A. R., 2017, Phys. Rev. A 96, 011601.
- Kolovsky, A. R., Z. Denis, and S. Wimberger, 2018, Phys. Rev. A 98, 043623.
- Korepin, V. E., N. M. Bogoliubov, and A. G. Izergin, 1997, Quantum Inverse Scattering Method and Correlation Functions, Vol. 3 (Cambridge University Press, Cambridge, England).
- Kovachy, T., J. M. Hogan, A. Sugarbaker, S. M. Dickerson, C. A. Donnelly, C. Overstreet, and M. A. Kasevich, 2015, Phys. Rev. Lett. 114, 143004.
- Kraft, S., A. Günther, H. Ott, D. Wharam, C. Zimmermann, and J. Fortágh, 2002, J. Opt. B 35, L469.
- Kreutzmann, H., U. V. Poulsen, M. Lewenstein, R. Dumke, W. Ertmer, G. Birkl, and A. Sanpera, 2004, Phys. Rev. Lett. 92, 163201.
- Krinner, S., T. Esslinger, and J.-P. Brantut, 2017, J. Phys. Condens. Matter 29, 343003.
- Krinner, S., M. Lebrat, D. Husmann, C. Grenier, J.-P. Brantut, and T. Esslinger, 2016, Proc. Natl. Acad. Sci. U.S.A. 113, 8144.
- Krinner, S., D. Stadler, D. Husmann, J.-P. Brantut, and T. Esslinger, 2015, Nature (London) 517, 64.
- Krinner, S., D. Stadler, J. Meineke, J.-P. Brantut, and T. Esslinger, 2013, Phys. Rev. Lett. 110, 100601.
- Krinner, S., D. Stadler, J. Meineke, J.-P. Brantut, and T. Esslinger, 2015, Phys. Rev. Lett. 115, 045302.
- Krüger, P., L. M. Andersson, S. Wildermuth, S. Hofferberth, E. Haller, S. Aigner, S. Groth, I. Bar-Joseph, and J. Schmiedmayer, 2007, Phys. Rev. A 76, 063621.
- Krzyzanowska, K., J. Ferreras, C. Ryu, E. C. Samson, and M. Boshier, 2022, arXiv:22201.12461.
- Kuga, T., Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, 1997, Phys. Rev. Lett. 78, 4713.
- Kumar, A., N. Anderson, W. D. Phillips, S. Eckel, G. K. Campbell, and S. Stringari, 2016, New J. Phys. 18, 025001.
- Kumar, A., S. Eckel, F. Jendrzejewski, and G. K. Campbell, 2017, Phys. Rev. A 95, 021602.
- Kunimi, M., and I. Danshita, 2017, Phys. Rev. A 95, 033637.
- Kunimi, M., and I. Danshita, 2019, Phys. Rev. A 99, 043613.
- Kwon, W. J., G. Del Pace, R. Panza, M. Inguscio, W. Zwerger, M. Zaccanti, F. Scazza, and G. Roati, 2020, Science 369, 84.
- Labouvie, R., B. Santra, S. Heun, S. Wimberger, and H. Ott, 2015, Phys. Rev. Lett. 115, 050601.
- Lacki, M., M. Baranov, H. Pichler, and P. Zoller, 2016, Phys. Rev. Lett. 117, 233001.
- Lamata, L., A. Mezzacapo, J. Casanova, and E. Solano, 2014, Eur. Phys. J. Quantum Technol. 1, 9.
- Langen, T., R. Geiger, and J. Schmiedmayer, 2015, Annu. Rev. Condens. Matter Phys. 6, 201.
- Lau, J. W. Z., K. S. Gan, R. Dumke, L. Amico, L.-C. Kwek, and T. Haug, 2022, arXiv:2205.01636.
- Leanhardt, A., A. Chikkatur, D. Kielpinski, Y. Shin, T. Gustavson, W. Ketterle, and D. Pritchard, 2002, Phys. Rev. Lett. 89, 040401.
- LeBlanc, L. J., A. B. Bardon, J. McKeever, M. H. T. Extavour, D. Jervis, J. H. Thywissen, F. Piazza, and A. Smerzi, 2011, Phys. Rev. Lett. 106, 025302.
- Lebrat, M., P. Grišins, D. Husmann, S. Häusler, L. Corman, T. Giamarchi, J.-P. Brantut, and T. Esslinger, 2018, Phys. Rev. X 8, 011053.
- Lebrat, M., S. Häusler, P. Fabritius, D. Husmann, L. Corman, and T. Esslinger, 2019, Phys. Rev. Lett. 123, 193605.
- Lee, T. D., K. Huang, and C. N. Yang, 1957, Phys. Rev. 106, 1135.
- Leggett, A., 2006, Quantum Fluids (Oxford University Press, Oxford).
- Leggett, A. J., 1980, Prog. Theor. Phys. Suppl. 69, 80.
- Leggett, A. J., 1991, NATO ASI Ser., Ser. B 251, 297.
- Lesanovsky, I., and W. von Klitzing, 2007, Phys. Rev. Lett. 99, 083001.
- Levy, S., E. Lahoud, I. Shomroni, and J. Steinhauer, 2007, Nature (London) 449, 579.
- Lévy, L. P., G. Dolan, J. Dunsmuir, and H. Bouchiat, 1990, Phys. Rev. Lett. 64, 2074.
- Lewenstein, M., A. Sanpera, and V. Ahufinger, 2012, Ultracold Atoms in Optical Lattices: Simulating Quantum Many-Body Systems (Oxford University Press, New York).
- Li, A., S. Eckel, B. Eller, K. E. Warren, C. W. Clark, and M. Edwards, 2016, Phys. Rev. A 94, 023626.
- Li, G., M. D. Fraser, A. Yakimenko, and E. A. Ostrovskaya, 2015, Phys. Rev. B 91, 184518.
- Lieb, E. H., and W. Liniger, 1963, Phys. Rev. 130, 1605.
- Lieb, E. H., and F. Wu, 1968, Phys. Rev. Lett. 21, 192.
- Lim, Y., J. Goo, H. Kwak, and Y. Shin, 2021, Phys. Rev. A 103, 063319.
- Liu, B., H. Zhai, and S. Zhang, 2017, Phys. Rev. A 95, 013623.
- Lobos, A., and A. Aligia, 2008, Phys. Rev. Lett. 100, 016803.
- Long, R., T. Rom, W. Hansel, T. W. Hansch, and J. Reichel, 2005, Eur. Phys. J. D 35, 125.
- Loss, D., 1992, Phys. Rev. Lett. 69, 343.
- Luick, N., L. Sobirey, M. Bohlen, V. P. Singh, L. Mathey, T. Lompe, and H. Moritz, 2020, Science 369, 89.
- Lukoshkin, V. A., V. K. Kalevich, M. M. Afanasiev, K. V. Kavokin, Z. Hatzopoulos, P. G. Savvidis, E. S. Sedov, and A. V. Kavokin, 2018, Phys. Rev. B 97, 195149.
- Mahan, G. D., 2013, Many-Particle Physics (Springer Science+Business Media, New York).
- Majorana, E., 1932, Nuovo Cimento 9, 43.
- Manmana, S. R., K. R. Hazzard, G. Chen, A. E. Feiguin, and A. M. Rey, 2011, Phys. Rev. A 84, 043601.
- Marchukov, O. V., B. A. Malomed, V. A. Yurovsky, M. Olshanii, V. Dunjko, and R. G. Hulet, 2019, Phys. Rev. A 99, 063623.
- Marino, I., S. Raghavan, S. Fantoni, S. R. Shenoy, and A. Smerzi, 1999, Phys. Rev. A 60, 487.
- Marquardt, F., and C. Bruder, 2002, Phys. Rev. B 65, 125315.
- Marti, G. E., R. Olf, and D. M. Stamper-Kurn, 2015, Phys. Rev. A 91, 013602.
- Mas, H., S. Pandey, G. Vasilakis, and W. von Klitzing, 2019, New J. Phys. 21, 123039.
- Mathew, R., A. Kumar, S. Eckel, F. Jendrzejewski, G. K. Campbell, M. Edwards, and E. Tiesinga, 2015, Phys. Rev. A 92, 033602.
- Mathey, A. C., C. W. Clark, and L. Mathey, 2014, Phys. Rev. A 90, 023604.
- Mathey, A. C., and L. Mathey, 2016, New J. Phys. 18, 055016.
- Matveev, K., A. Larkin, and L. Glazman, 2002, Phys. Rev. Lett. 89, 096802.
- McDonald, G. D., H. Keal, P. A. Altin, J. E. Debs, S. Bennetts, C. C. N. Kuhn, K. S. Hardman, M. T. Johnsson, J. D. Close, and N. P. Robins, 2013, Phys. Rev. A 87, 013632.
- McDonald, G. D., C. C. Kuhn, K. S. Hardman, S. Bennetts, P. J. Everitt, P. A. Altin, J. E. Debs, J. D. Close, and N. P. Robins, 2014, Phys. Rev. Lett. 113, 013002.
- McDonald, G. D., C. C. N. Kuhn, S. Bennetts, J. E. Debs, K. S. Hardman, M. Johnsson, J. D. Close, and N. P. Robins, 2013, Phys. Rev. A 88, 053620.
- McGloin, D., G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, 2003, Opt. Express 11, 158.
- Mehdi, Z., A. S. Bradley, J. J. Hope, and S. S. Szigeti, 2021, SciPost Phys. 11, 80.
- Meier, F., and W. Zwerger, 2001, Phys. Rev. A 64, 033610.
- Mielke, A., 2015, in Many Body Physics: From Kondo to Hubbard, Vol. 5, edited by P. Coleman, E. Koch, and E. Pavarini (Verlag des Forschungszentrum Jülich, Jülich, Germany).
- Milburn, G., J. Corney, E. M. Wright, and D. Walls, 1997, Phys. Rev. A 55, 4318.
- Milner, V., J. L. Hanssen, W. C. Campbell, and M. G. Raizen, 2001, Phys. Rev. Lett. 86, 1514.
- Moan, E. R., R. A. Horne, T. Arpornthip, Z. Luo, A. J. Fallon, S. J. Berl, and C. A. Sackett, 2020, Phys. Rev. Lett. 124, 120403.
- Mohanty, P., 1999, Ann. Phys. (Berlin) 511, 549.
- Morizot, O., Y. Colombe, V. Lorent, H. Perrin, and B. M. Garraway, 2006, Phys. Rev. A 74, 023617.
- Moukouri, S., Y. Japha, M. Keil, T. David, D. Groswasser, M. Givon, and R. Folman, 2021, arXiv:22107.03446.
- Moulder, S., S. Beattie, R. P. Smith, N. Tammuz, and Z. Hadzibabic, 2012, Phys. Rev. A 86, 013629.
- Mukai, T., C. Hufnagel, A. Kasper, T. Meno, A. Tsukada, K. Semba, and F. Shimizu, 2007, Phys. Rev. Lett. 98, 260407.
- Müller, D., D. Z. Anderson, R. J. Grow, P. D. D. Schwindt, and E. A. Cornell, 1999, Phys. Rev. Lett. 83, 5194.
- Müller, D., E. A. Cornell, D. Z. Anderson, and E. R. I. Abraham, 2000, Phys. Rev. A 61, 033411.
- Müller, D., E. A. Cornell, M. Prevedelli, P. Schwindt, A. Zozulya, and D. Z. Anderson, 2000, Opt. Lett. 25, 1382.
- Müller, H., S.-w. Chiow, Q. Long, S. Herrmann, and S. Chu, 2008, Phys. Rev. Lett. 100, 180405.
- Müller, T., B. Zhang, R. Fermani, K. Chan, M. Lim, and R. Dumke, 2010a, Phys. Rev. A 81, 053624.
- Müller, T., B. Zhang, R. Fermani, K. Chan, Z. Wang, C. Zhang, M. Lim, and R. Dumke, 2010b, New J. Phys. 12, 043016.
- Müllers, A., B. Santra, C. Baals, J. Jiang, J. Benary, R. Labouvie, D. A. Zezyulin, V. V. Konotop, and H. Ott, 2018, Sci. Adv. 4, eaat6539.
- Muntinga, H., et al., 2013, Phys. Rev. Lett. 110, 093602.
- Murray, N., M. Krygier, M. Edwards, K. C. Wright, G. K. Campbell, and C. W. Clark, 2013, Phys. Rev. A 88, 053615.
- Naldesi, P., J. P. Gomez, B. Malomed, M. Olshanii, A. Minguzzi, and L. Amico, 2019, Phys. Rev. Lett. 122, 053001.
- Naldesi, P., J. Polo, V. Dunjko, H. Perrin, M. Olshanii, L. Amico, and A. Minguzzi, 2022, SciPost Phys. 12, 138.
- Navez, P., S. Pandey, H. Mas, K. Poulios, T. Fernholz, and W. von Klitzing, 2016, New J. Phys. 18, 075014.
- Nazarov, Y. V., and Y. M. Blanter, 2009, Quantum Transport: Introduction to Nanoscience (Cambridge University Press, Cambridge, England).
- Nicolau, E., J. Mompart, B. Juliá-Diaz, and V. Ahufinger, 2020, Phys. Rev. A 102, 023331.
- Nietner, C., G. Schaller, and T. Brandes, 2014, Phys. Rev. A 89, 013605.
- Nirrengarten, T., A. Qarry, C. Roux, A. Emmert, G. Nogues, M. Brune, J.-M. Raimond, and S. Haroche, 2006, Phys. Rev. Lett. 97, 200405.
- Nitzan, A., and M. A. Ratner, 2003, Science 300, 1384.
- Nogrette, F., H. Labuhn, S. Ravets, D. Barredo, L. Béguin, A. Vernier, T. Lahaye, and A. Browaeys, 2014, Phys. Rev. X 4, 021034.
- Nunnenkamp, A., A. M. Rey, and K. Burnett, 2008, Phys. Rev. A 77, 023622.
- Nunnenkamp, A., A. M. Rey, and K. Burnett, 2011, Phys. Rev. A 84, 053604.
- Oelkers, N., and J. Links, 2007, Phys. Rev. B 75, 115119.
- Olariu, S., and I. I. Popescu, 1985, Rev. Mod. Phys. 57, 339.
- Oliinyk, A., A. Yakimenko, and B. Malomed, 2019, J. Phys. B 52, 225301.
- Olson, S. E., M. L. Terraciano, M. Bashkansky, and F. K. Fatemi, 2007, Phys. Rev. A 76, 061404.
- Onofrio, R., D. S. Durfee, C. Raman, M. Kohl, C. E. Kuklewicz, and W. Ketterle, 2000, Phys. Rev. Lett. 84, 810.
- Ozawa, T., and G. Baym, 2010, Phys. Rev. A 82, 063615.
- Packard, R. E., 1998, Rev. Mod. Phys. 70, 641.
- Pagano, G., M. Mancini, G. Cappellini, L. Livi, C. Sias, J. Catani, M. Inguscio, and L. Fallani, 2015, Phys. Rev. Lett. 115, 265301.
- Pandey, S., H. Mas, G. Drougakis, P. Thekkeppatt, V. Bolpasi, G. Vasilakis, K. Poulios, and W. von Klitzing, 2019, Nature (London) 570, 205.
- Pandey, S., H. Mas, G. Vasilakis, and W. von Klitzing, 2021, Phys. Rev. Lett. 126, 170402.
- Papoular, D. J., L. P. Pitaevskii, and S. Stringari, 2014, Phys. Rev. Lett. 113, 170601.
- Papoular, D. J., L. P. Pitaevskii, and S. Stringari, 2016, Phys. Rev. A 94, 023622.
- Pâţu, O. I., and D. V. Averin, 2022, Phys. Rev. Lett. 128, 096801.
- Pecci, G., P. Naldesi, L. Amico, and A. Minguzzi, 2021, Phys. Rev. Research 3, L032064.
- Pecci, G., P. Naldesi, A. Minguzzi, and L. Amico, 2021, arXiv:2105.10408.
- Peierls, R., 1933, Z. Phys. 80, 763.
- Pelegri, G., J. Mompart, and V. Ahufinger, 2018, New J. Phys. 20, 103001.
- Penna, V., and A. Richaud, 2017, Phys. Rev. A 96, 053631.
- Pepino, R., J. Cooper, D. Anderson, and M. Holland, 2009, Phys. Rev. Lett. 103, 140405.
- Pepino, R. A., 2021, Entropy 23, 534.
- Pérez-Obiol, A., J. Polo, and L. Amico, 2021, arXiv:2112.08072.
- Perrin, H., and B. M. Garraway, 2017, in Advances in Atomic, Molecular, and Optical Physics, Vol. 66, edited by S. Yelin, E. Arimondo, and C. Lin (Elsevier, New York).
- Pershoguba, S. S., and L. I. Glazman, 2019, Phys. Rev. B 99, 134514.
- Peters, A., K. Y. Chung, and S. Chu, 2001, Metrologia 38, 25.
- Petrich, W., M. H. Anderson, J. R. Ensher, and E. A. Cornell, 1995, Phys. Rev. Lett. 74, 3352.
- Petrosyan, D., K. Mølmer, J. Fortágh, and M. Saffman, 2019, New J. Phys. 21, 073033.
- Pezzè, L., A. Smerzi, M. K. Oberthaler, R. Schmied, and P. Treutlein, 2018, Rev. Mod. Phys. 90, 035005.
- Piazza, F., L. A. Collins, and A. Smerzi, 2009, Phys. Rev. A 80, 021601(R).
- Pigneur, M., T. Berrada, M. Bonneau, T. Schumm, E. Demler, and J. Schmiedmayer, 2018, Phys. Rev. Lett. 120, 173601.
- Polo, J., and V. Ahufinger, 2013, Phys. Rev. A 88, 053628.
- Polo, J., V. Ahufinger, F. W. Hekking, and A. Minguzzi, 2018, Phys. Rev. Lett. 121, 090404.
- Polo, J., A. Benseny, T. Busch, V. Ahufinger, and J. Mompart, 2016, New J. Phys. 18, 015010.
- Polo, J., R. Dubessy, P. Pedri, H. Perrin, and A. Minguzzi, 2019, Phys. Rev. Lett. 123, 195301.
- Polo, J., J. Mompart, and V. Ahufinger, 2016, Phys. Rev. A 93, 033613.
- Polo, J., P. Naldesi, A. Minguzzi, and L. Amico, 2022, Quantum Sci. Technol. 7, 015015.
- Price, H. M., T. Ozawa, and N. Goldman, 2017, Phys. Rev. A 95, 023607.
- Pritchard, D. E., 1983, Phys. Rev. Lett. 51, 1336.
- Pritchard, J. D., A. N. Dinkelaker, A. S. Arnold, P. F. Griffin, and E. Riis, 2012, New J. Phys. 14, 103047.
- Pyykkönen, V. A. J., S. Peotta, P. Fabritius, J. Mohan, T. Esslinger, and P. Törmä, 2021, Phys. Rev. B 103, 144519.
- Qi, L., Z. Hu, T. Valenzuela, Y. Zhang, Y. Zhai, W. Quan, N. Waltham, and J. Fang, 2017, Appl. Phys. Lett. 110, 153502.
- Ramanathan, A., K. C. Wright, S. R. Muniz, M. Zelan, W. T. Hill, C. J. Lobb, K. Helmerson, W. D. Phillips, and G. K. Campbell, 2011, Phys. Rev. Lett. 106, 130401.
- Rapp, A., G. Zaránd, C. Honerkamp, and W. Hofstetter, 2007, Phys. Rev. Lett. 98, 160405.
- Rastelli, G., I. M. Pop, and F. W. Hekking, 2013, Phys. Rev. B 87, 174513.
- Read, N., and N. Cooper, 2003, Phys. Rev. A 68, 035601.
- Reichel, J., 2002, Appl. Phys. B 74, 469.
- Reichel, J., W. Hänsel, and T. W. Hänsch, 1999, Phys. Rev. Lett. 83, 3398.
- Reichel, J., and V. Vuletić, 2011, Atom Chips (Wiley-VCH, Weinheim).
- Renn, M. J., E. A. Donley, E. A. Cornell, C. E. Wieman, and D. Z. Anderson, 1996, Phys. Rev. A 53, R648.
- Rhodes, D. P., G. P. T. Lancaster, J. Livesey, D. McGloin, J. Arlt, and K. Dholakia, 2002, Opt. Commun. 214, 247.
- Richaud, A., M. Ferraretto, and M. Capone, 2021, Phys. Rev. B 103, 205132.
- Richaud, A., M. Ferraretto, and M. Capone, 2022, Condens. Matter 7, 18.
- Richaud, A., and V. Penna, 2017, Phys. Rev. A 96, 013620.
- Riedel, E. K., and F. von Oppen, 1993, Phys. Rev. B 47, 15449.
- Riedel, M. F., P. Böhi, Y. Li, T. W. Hänsch, A. Sinatra, and P. Treutlein, 2010, Nature (London) 464, 1170.
- Rincón, J., A. Aligia, and K. Hallberg, 2009, Phys. Rev. B 79, 035112.
- Rincón, J., K. Hallberg, and A. Aligia, 2008, Phys. Rev. B 78, 125115.
- Roscilde, T., M. F. Faulkner, S. T. Bramwell, and P. C. W. Holdsworth, 2016, New J. Phys. 18, 075003.
- Rubinsztein-Dunlop, H., et al., 2017, J. Opt. 19, 013001.
- Ruostekoski, J., and D. F. Walls, 1998, Phys. Rev. A 58, R50.
- Ryu, C., P. Blackburn, A. Blinova, and M. Boshier, 2013, Phys. Rev. Lett. 111, 205301.
- Ryu, C., and M. G. Boshier, 2015, New J. Phys. 17, 092002.
- Ryu, C., K. C. Henderson, and M. G. Boshier, 2014, New J. Phys. 16, 013046.
- Ryu, C., E. C. Samson, and M. G. Boshier, 2020, Nat. Commun. 11, 3338.
- Safaei, S., B. Grémaud, R. Dumke, L.-C. Kwek, L. Amico, and C. Miniatura, 2018, Phys. Rev. A 97, 042306.
- Safaei, S., L.-C. Kwek, R. Dumke, and L. Amico, 2019, Phys. Rev. A 100, 013621.
- Salerno, G., H. M. Price, M. Lebrat, S. Häusler, T. Esslinger, L. Corman, J.-P. Brantut, and N. Goldman, 2019, Phys. Rev. X 9, 041001.
- Salim, E. A., S. C. Caliga, J. B. Pfeiffer, and D. Z. Anderson, 2013, Appl. Phys. Lett. 102, 084104.
- Saminadayar, L., C. Bauerle, and D. Mailly, 2004, Encycl. Nanosci. Nanotechnol. 3, 267.
- Sanvitto, D., et al., 2010, Nat. Phys. 6, 527.
- Sauer, J. A., M. D. Barrett, and M. S. Chapman, 2001, Phys. Rev. Lett. 87, 270401.
- Schenke, C., A. Minguzzi, and F. W. J. Hekking, 2011, Phys. Rev. A 84, 053636.
- Schmiedmayer, J., 1995a, Phys. Rev. A 52, R13.
- Schmiedmayer, J., 1995b, Appl. Phys. B 60, 169.
- Schmiedmayer, J., and A. Scrinzi, 1996a, Quantum Semiclass. Opt. 8, 693.
- Schmiedmayer, J., and A. Scrinzi, 1996b, Phys. Rev. A 54, R2525.
- Schneble, D., M. Hasuo, T. Anker, T. Pfau, and J. Mlynek, 2003, J. Opt. Soc. Am. B 20, 648.
- Schnelle, S. K., E. D. Van Ooijen, M. J. Davis, N. R. Heckenberg, and H. Rubinsztein-Dunlop, 2008, Opt. Express 16, 1405.
- Schumm, T., S. Hofferberth, L. M. Andersson, S. Wildermuth, S. Groth, I. Bar-Joseph, J. Schmiedmayer, and P. Krüger, 2005, Nat. Phys. 1, 57.
- Schweigler, T., et al., 2021, Nat. Phys. 17, 559.
- Seaman, B., M. Krämer, D. Anderson, and M. Holland, 2007, Phys. Rev. A 75, 023615.
- Sekera, T., C. Bruder, and W. Belzig, 2016, Phys. Rev. A 94, 033618.
- Sherlock, B. E., M. Gildemeister, E. Owen, E. Nugent, and C. J. Foot, 2011, Phys. Rev. A 83, 043408.
- Shmakov, P., A. Dmitriev, and V. Y. Kachorovskii, 2013, Phys. Rev. B 87, 235417.
- Simonelli, C., M. Archimi, L. Asteria, D. Capecchi, G. Masella, E. Arimondo, D. Ciampini, and O. Morsch, 2017, Phys. Rev. A 96, 043411.
- Simpson, D., D. Gangardt, I. Lerner, and P. Krüger, 2014, Phys. Rev. Lett. 112, 100601.
- Sinclair, C. D. J., E. A. Curtis, I. L. Garcia, J. A. Retter, B. V. Hall, S. Eriksson, B. E. Sauer, and E. A. Hinds, 2005, Phys. Rev. A 72, 031603.
- Singh, V. P., N. Luick, L. Sobirey, and L. Mathey, 2020, Phys. Rev. Research 2, 033298.
- Sinuco-León, G. A., K. A. Burrows, A. S. Arnold, and B. M. Garraway, 2014, Nat. Commun. 5, 5289.
- Smerzi, A., S. Fantoni, S. Giovanazzi, and S. Shenoy, 1997, Phys. Rev. Lett. 79, 4950.
- Solenov, D., and D. Mozyrsky, 2010, Phys. Rev. A 82, 061601.
- Sommer, A., M. Ku, G. Roati, and M. W. Zwierlein, 2011, Nature (London) 472, 201.
- Spagnolli, G., et al., 2017, Phys. Rev. Lett. 118, 230403.
- Spehner, D., L. Morales-Molina, and S. A. Reyes, 2021, New J. Phys. 23, 063025.
- Stadler, D., S. Krinner, J. Meineke, J.-P. Brantut, and T. Esslinger, 2012, Nature (London) 491, 736.
- Stevenson, R., M. R. Hush, T. Bishop, I. Lesanovsky, and T. Fernholz, 2015, Phys. Rev. Lett. 115, 163001.
- Stickney, J. A., D. Z. Anderson, and A. A. Zozulya, 2007, Phys. Rev. A 75, 013608.
- Stockton, J., K. Takase, and M. Kasevich, 2011, Phys. Rev. Lett. 107, 133001.
- Streltsov, A. I., O. E. Alon, and L. S. Cederbaum, 2009, Phys. Rev. A 80, 043616.
- Sugarbaker, A., 2014, Ph.D. thesis (Stanford University).
- Sun, K., K. Padavić, F. Yang, S. Vishveshwara, and C. Lannert, 2018, Phys. Rev. A 98, 013609.
- Surace, F. M., and A. Lerose, 2021, New J. Phys. 23, 062001.
- Sutherland, B., 1968, Phys. Rev. Lett. 20, 98.
- Sutherland, B., 1975, Phys. Rev. B 12, 3795.
- Tajik, M., B. Rauer, T. Schweigler, F. Cataldini, J. Sabino, F. S. Møller, S.-C. Ji, I. E. Mazets, and J. Schmiedmayer, 2019, Opt. Express 27, 33474.
- Thouless, D., 1983, Phys. Rev. B 27, 6083.
- Thouless, D. J., M. Kohmoto, M. P. Nightingale, and M. den Nijs, 1982, Phys. Rev. Lett. 49, 405.
- Tinkham, M., 2012, Introduction to Superconductivity (Courier Dover Publications, Mineola, NY).
- Tokuno, A., M. Oshikawa, and E. Demler, 2008, Phys. Rev. Lett. 100, 140402.
- Tollett, J. J., C. C. Bradley, C. A. Sackett, and R. G. Hulet, 1995, Phys. Rev. A 51, R22.
- Tononi, A., F. Toigo, S. Wimberger, A. Cappellaro, and L. Salasnich, 2020, New J. Phys. 22, 073020.
- Tosto, F., P. Baw Swe, N. T. Nguyen, C. Hufnagel, M. Martínez Valado, L. Prigozhin, V. Sokolovsky, and R. Dumke, 2019, Appl. Phys. Lett. 114, 222601.
- Trebbia, J.-B., C. L. Garrido Alzar, R. Cornelussen, C. I. Westbrook, and I. Bouchoule, 2007, Phys. Rev. Lett. 98, 263201.
- Trenkwalder, A., et al., 2016, Nat. Phys. 12, 826.
- Turpin, A., J. Polo, Y. V. Loiko, J. Küber, F. Schmaltz, T. K. Kalkandjiev, V. Ahufinger, G. Birkl, and J. Mompart, 2015, Opt. Express 23, 1638.
- Uchino, S., 2020, Phys. Rev. Research 2, 023340.
- Uchino, S., and J.-P. Brantut, 2020, Phys. Rev. Research 2, 023284.
- Uchino, S., and M. Ueda, 2017, Phys. Rev. Lett. 118, 105303.
- Uchino, S., M. Ueda, and J.-P. Brantut, 2018, Phys. Rev. A 98, 063619.
- Vaidman, L., 2012, Phys. Rev. A 86, 040101.
- Valado, M., C. Simonelli, M. Hoogerland, I. Lesanovsky, J. P. Garrahan, E. Arimondo, D. Ciampini, and O. Morsch, 2016, Phys. Rev. A 93, 040701.
- Valtolina, G., F. Scazza, A. Amico, A. Burchianti, A. Recati, T. Enss, M. Inguscio, M. Zaccanti, and G. Roati, 2017, Nat. Phys. 13, 704.
- Valtolina, G., et al., 2015, Science 350, 1505.
- van Wees, B. J., H. van Houten, C. W. J. Beenakker, J. G. Williamson, L. P. Kouwenhoven, D. van der Marel, and C. T. Foxon, 1988, Phys. Rev. Lett. 60, 848.
- van Zoest, T., et al., 2010, Science 328, 1540.
- Verdú, J., H. Zoubi, C. Koller, J. Majer, H. Ritsch, and J. Schmiedmayer, 2009, Phys. Rev. Lett. 103, 043603.
- Victorin, N., T. Haug, L.-C. Kwek, L. Amico, and A. Minguzzi, 2019, Phys. Rev. A 99, 033616.
- Waintal, X., G. Fleury, K. Kazymyrenko, M. Houzet, P. Schmitteckert, and D. Weinmann, 2008, Phys. Rev. Lett. 101, 106804.
- Wang, Y., S. Subhankar, P. Bienias, M. Lacki, T.-C. Tsui, M. A. Baranov, A. V. Gorshkov, P. Zoller, J. V. Porto, and S. L. Rolston, 2018, Phys. Rev. Lett. 120, 083601.
- Wang, Y.-H., A. Kumar, F. Jendrzejewski, R. M. Wilson, M. Edwards, S. Eckel, G. K. Campbell, and C. W. Clark, 2015, New J. Phys. 17, 125012.
- Wang, Y.-J., D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, 2005, Phys. Rev. Lett. 94, 090405.
- Watabe, S., and Y. Kato, 2008, Phys. Rev. A 78, 063611.
- Webb, R. A., S. Washburn, C. Umbach, and R. Laibowitz, 1985, Phys. Rev. Lett. 54, 2696.
- Weiss, C., and Y. Castin, 2009, Phys. Rev. Lett. 102, 010403.
- Wharam, D. A., T. J. Thornton, R. Newbury, M. Pepper, H. Ahmed, J. E. F. Frost, D. G. Hasko, D. C. Peacock, D. A. Ritchie, and G. A. C. Jones, 1988, J. Phys. C 21, L209.
- White, D. H., T. A. Haase, D. J. Brown, M. D. Hoogerland, M. S. Najafabadi, J. L. Helm, C. Gies, D. Schumayer, and D. A. W. Hutchinson, 2020, Nat. Commun. 11, 4942.
- Wright, E., J. Arlt, and K. Dholakia, 2000, Phys. Rev. A 63, 013608.
- Wright, K. C., R. B. Blakestad, C. J. Lobb, W. D. Phillips, and G. K. Campbell, 2013a, Phys. Rev. Lett. 110, 025302.
- Wright, K. C., R. B. Blakestad, C. J. Lobb, W. D. Phillips, and G. K. Campbell, 2013b, Phys. Rev. A 88, 063633.
- Wu, S., E. Su, and M. Prentiss, 2007, Phys. Rev. Lett. 99, 173201.
- Wu, S., Y.-J. Wang, Q. Diot, and M. Prentiss, 2005, Phys. Rev. A 71, 043602.
- Xhani, K., et al., 2020, Phys. Rev. Lett. 124, 045301.
- Z.-L. Xiang, S. Ashhab, J. Q. You, and F. Nori, 2013, Rev. Mod. Phys. 85, 623.
- Yakimenko, A., Y. Bidasyuk, M. Weyrauch, Y. Kuriatnikov, and S. Vilchinskii, 2015, Phys. Rev. A 91, 033607.
- Yakimenko, A., S. Vilchinskii, Y. Bidasyuk, Y. Kuriatnikov, K. Isaieva, and M. Weyrauch, 2014, arXiv:1411.3490.
- Yao, J., B. Liu, M. Sun, and H. Zhai, 2018, Phys. Rev. A 98, 041601.
- You, J.-S., R. Schmidt, D. A. Ivanov, M. Knap, and E. Demler, 2019, Phys. Rev. B 99, 214505.
- Yu, D., L. C. Kwek, L. Amico, and R. Dumke, 2017a, Quantum Sci. Technol. 2, 035005.
- Yu, D., L. C. Kwek, L. Amico, and R. Dumke, 2017b, Phys. Rev. A 95, 053811.
- Yu, D., L. C. Kwek, L. Amico, and R. Dumke, 2018, Phys. Rev. A 98, 033833.
- Yu, D., A. Landra, L. C. Kwek, L. Amico, and R. Dumke, 2018, New J. Phys. 20, 023031.
- Yu, D., A. Landra, M. M. Valado, C. Hufnagel, L. C. Kwek, L. Amico, and R. Dumke, 2016, Phys. Rev. A 94, 062301.
- Yu, D., M. M. Valado, C. Hufnagel, L. C. Kwek, L. Amico, and R. Dumke, 2016a, Phys. Rev. A 93, 042329.
- Yu, D., M. M. Valado, C. Hufnagel, L. C. Kwek, L. Amico, and R. Dumke, 2016b, Sci. Rep. 6, 38356.
- Yu, N., and M. Fowler, 1992, Phys. Rev. B 45, 11795.
- Zabow, G., R. S. Conroy, and M. G. Prentiss, 2004, Phys. Rev. Lett. 92, 180404.
- Zaccanti, M., and W. Zwerger, 2019, Phys. Rev. A 100, 063601.
- Zapata, I., and F. Sols, 2009, Phys. Rev. Lett. 102, 180405.
- Zapata, I., F. Sols, and A. J. Leggett, 1998, Phys. Rev. A 57, R28.
- Zhang, B., M. Siercke, K. S. Chan, M. Beian, M. J. Lim, and R. Dumke, 2012, Phys. Rev. A 85, 013404.
- Zobay, O., and B. M. Garraway, 2001, Phys. Rev. Lett. 86, 1195.
- Zöllner, S., H.-D. Meyer, and P. Schmelcher, 2008, Phys. Rev. Lett. 100, 040401.
- Zou, Y. Q., E. Le Cerf, B. Bakkali-Hassani, C. Maury, G. Chauveau, P. C. M. Castilho, R. Saint-Jalm, S. Nascimbene, J. Dalibard, and J. Beugnon, 2021, J. Opt. B 54, 08LT01.
- Zozulya, A. A., and D. Z. Anderson, 2013, Phys. Rev. A 88, 043641.
- Zupancic, P., P. M. Preiss, R. Ma, A. Lukin, M. E. Tai, M. Rispoli, R. Islam, and M. Greiner, 2016, Opt. Express 24, 13881.
- Zvyagin, A. A., and I. V. Krive, 1995, Low Temp. Phys. 21, 533.