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  • Letter
  • Open Access

Resonant light enhances phase coherence in a cavity QED simulator of fermionic superfluidity

Shane P. Kelly1,2,*, James K. Thompson3, Ana Maria Rey2,3,4, and Jamir Marino1,2

  • 1Institut für Physik, Johannes Gutenberg Universität Mainz, D-55099 Mainz, Germany
  • 2Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030, USA
  • 3JILA, NIST, Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
  • 4Center for Theory of Quantum Matter, University of Colorado, Boulder, Colorado 80309, USA

  • *shakelly@uni-mainz.de
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Phys. Rev. Research 4, L042032 – Published 22 November, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L042032

Abstract

Cavity QED experiments are natural hosts for nonequilibrium phases of matter supported by photon-mediated interactions. In this work, we consider a cavity QED simulation of the BCS model of superfluidity, by studying regimes where the cavity photons act as dynamical degrees of freedom instead of mere mediators of the interaction via virtual processes. We find an enhancement of long time coherence following a quench whenever the cavity frequency is tuned into resonance with the atoms. We discuss how this is equivalent to enhancement of non-equilibrium superfluidity and highlight similarities to an analogous phenomena recently studied in solid state quantum optics. We also discuss the conditions for observing this enhanced resonant pairing in experiments by including the effect of photon losses and inhomogeneous coupling in our analysis.

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References (77)

  1. N. W. Ashcroft, N. D. Mermin et al., Solid State Physics (Holt, Rinehart and Winston, New York, 1976).
  2. J. F. Annett, Superconductivity, Superfluids and Condensates, Oxford Master Series in Physics (Oxford University Press, Oxford, New York, 2004).
  3. C. M. Varma, P. B. Littlewood, S. Schmitt-Rink, E. Abrahams, and A. E. Ruckenstein, Phenomenology of the Normal State of Cu-O High-Temperature Superconductors, Phys. Rev. Lett. 63, 1996 (1989).
  4. D. M. Ginsberg, Physical properties of high temperature superconductors I (World scientific, 1998).
  5. E. Dagotto, Correlated electrons in high-temperature superconductors, Rev. Mod. Phys. 66, 763 (1994).
  6. R. Matsunaga, Y. I. Hamada, K. Makise, Y. Uzawa, H. Terai, Z. Wang, and R. Shimano, Higgs Amplitude Mode in the BCS Superconductors Nb1−xTixN Induced by Terahertz Pulse Excitation, Phys. Rev. Lett. 111, 057002 (2013).
  7. R. Matsunaga, N. Tsuji, H. Fujita, A. Sugioka, K. Makise, Y. Uzawa, H. Terai, Z. Wang, H. Aoki, and R. Shimano, Light-induced collective pseudospin precession resonating with higgs mode in a superconductor, Science 345, 1145 (2014).
  8. R. Mankowsky, A. Subedi, M. Först, S. O. Mariager, M. Chollet, H. T. Lemke, J. S. Robinson, J. M. Glownia, M. P. Minitti, A. Frano et al., Nonlinear lattice dynamics as a basis for enhanced superconductivity in YBa2Cu3O6.5, Nature (London) 516, 71 (2014).
  9. M. Mitrano, A. Cantaluppi, D. Nicoletti, S. Kaiser, A. Perucchi, S. Lupi, P. Di Pietro, D. Pontiroli, M. Riccò, S. R. Clark et al., Possible light-induced superconductivity in K3C60 at high temperature, Nature (London) 530, 461 (2016).
  10. K. Isoyama, N. Yoshikawa, K. Katsumi, J. Wong, N. Shikama, Y. Sakishita, F. Nabeshima, A. Maeda, and R. Shimano, Light-induced enhancement of superconductivity in iron-based superconductor FeSe0.5Te0.5, Commun. Phys. 4, 160 (2021).
  11. J. B. Curtis, Z. M. Raines, A. A. Allocca, M. Hafezi, and V. M. Galitski, Cavity Quantum Eliashberg Enhancement of Superconductivity, Phys. Rev. Lett. 122, 167002 (2019).
  12. F. Schlawin and D. Jaksch, Cavity-Mediated Unconventional Pairing in Ultracold Fermionic Atoms, Phys. Rev. Lett. 123, 133601 (2019).
  13. A. Chakraborty and F. Piazza, Long-Range Photon Fluctuations Enhance Photon-Mediated Electron Pairing and Superconductivity, Phys. Rev. Lett. 127, 177002 (2021).
  14. M. A. Sentef, M. Ruggenthaler, and A. Rubio, Cavity quantum-electrodynamical polaritonically enhanced electron-phonon coupling and its influence on superconductivity, Sci. Adv. 4, eaau6969 (2018).
  15. A. Thomas, E. Devaux, K. Nagarajan, T. Chervy, M. Seidel, D. Hagenmüller, S. Schütz, J. Schachenmayer, C. Genet, G. Pupillo et al., Exploring superconductivity under strong coupling with the vacuum electromagnetic field, arXiv:1911.01459.
  16. F. P. Laussy, A. V. Kavokin, and I. A. Shelykh, Exciton-Polariton Mediated Superconductivity, Phys. Rev. Lett. 104, 106402 (2010).
  17. O. Cotleţ, S. Zeytinoglu, M. Sigrist, E. Demler, and A. Imamoglu, Superconductivity and other collective phenomena in a hybrid bose-fermi mixture formed by a polariton condensate and an electron system in two dimensions, Phys. Rev. B 93, 054510 (2016).
  18. S. Smolka, W. Wuester, F. Haupt, S. Faelt, W. Wegscheider, and A. Imamoglu, Cavity quantum electrodynamics with many-body states of a two-dimensional electron gas, Science 346, 332 (2014).
  19. G. Mazza and A. Georges, Superradiant Quantum Materials, Phys. Rev. Lett. 122, 017401 (2019).
  20. G. M. Andolina, F. M. D. Pellegrino, V. Giovannetti, A. H. MacDonald, and M. Polini, Cavity quantum electrodynamics of strongly correlated electron systems: A no-go theorem for photon condensation, Phys. Rev. B 100, 121109(R) (2019).
  21. M. Kiffner, J. R. Coulthard, F. Schlawin, A. Ardavan, and D. Jaksch, Manipulating quantum materials with quantum light, Phys. Rev. B 99, 085116 (2019).
  22. S. Latini, E. Ronca, U. De Giovannini, H. Hübener, and A. Rubio, Cavity control of excitons in two-dimensional materials, Nano Lett. 19, 3473 (2019).
  23. J. Li, D. Golez, G. Mazza, A. J. Millis, A. Georges, and M. Eckstein, Electromagnetic coupling in tight-binding models for strongly correlated light and matter, Phys. Rev. B 101, 205140 (2020).
  24. Y. Ashida, A. İmamoğlu, J. Faist, D. Jaksch, A. Cavalleri, and E. Demler, Quantum Electrodynamic Control of Matter: Cavity-Enhanced Ferroelectric Phase Transition, Phys. Rev. X 10, 041027 (2020).
  25. H. Gao, F. Schlawin, M. Buzzi, A. Cavalleri, and D. Jaksch, Photoinduced Electron Pairing in a Driven Cavity, Phys. Rev. Lett. 125, 053602 (2020).
  26. F. J. Garcia-Vidal, C. Ciuti, and T. W. Ebbesen, Manipulating matter by strong coupling to vacuum fields, Science 373, eabd0336 (2021).
  27. H. Hübener, U. De Giovannini, C. Schäfer, J. Andberger, M. Ruggenthaler, J. Faist, and A. Rubio, Engineering quantum materials with chiral optical cavities, Nat. Mater. 20, 438 (2021).
  28. J. Li and M. Eckstein, Manipulating Intertwined Orders in Solids with Quantum Light, Phys. Rev. Lett. 125, 217402 (2020).
  29. K. Lenk and M. Eckstein, Collective excitations of the U(1)-symmetric exciton insulator in a cavity, Phys. Rev. B 102, 205129 (2020).
  30. A. Chiocchetta, D. Kiese, C. P. Zelle, F. Piazza, and S. Diehl, Cavity-induced quantum spin liquids, Nat. Commun. 12, 5901 (2021).
  31. Y. Ashida, A. İmamoğlu, and E. Demler, Cavity Quantum Electrodynamics at Arbitrary Light-Matter Coupling Strengths, Phys. Rev. Lett. 126, 153603 (2021).
  32. Z. M. Raines, A. A. Allocca, M. Hafezi, and V. M. Galitski, Cavity higgs polaritons, Phys. Rev. Res. 2, 013143 (2020).
  33. H. Gao, F. Schlawin, and D. Jaksch, Higgs mode stabilization by photo-induced long-range interactions in a superconductor, Phys. Rev. B 104, L140503 (2021).
  34. S. Smale, P. He, B. A. Olsen, K. G. Jackson, H. Sharum, S. Trotzky, J. Marino, A. M. Rey, and J. H. Thywissen, Observation of a transition between dynamical phases in a quantum degenerate fermi gas, Sci. Adv. 5, eaax1568 (2019).
  35. R. J. Lewis-Swan, D. Barberena, J. R. K. Cline, D. J. Young, J. K. Thompson, and A. M. Rey, Cavity-QED Quantum Simulator of Dynamical Phases of a Bardeen-Cooper-Schrieffer Superconductor, Phys. Rev. Lett. 126, 173601 (2021).
  36. G. S. Agarwal, R. R. Puri, and R. P. Singh, Atomic Schrödinger cat states, Phys. Rev. A 56, 2249 (1997).
  37. F. Damanet, A. J. Daley, and J. Keeling, Atom-only descriptions of the driven-dissipative Dicke model, Phys. Rev. A 99, 033845 (2019).
  38. S. P. Kelly, A. M. Rey, and J. Marino, Effect of Active Photons on Dynamical Frustration in Cavity QED, Phys. Rev. Lett. 126, 133603 (2021).
  39. J. A. Muniz, D. Barberena, R. J. Lewis-Swan, D. J. Young, J. R. K. Cline, A. M. Rey, and J. K. Thompson, Exploring dynamical phase transitions with cold atoms in an optical cavity, Nature (London) 580, 602 (2020).
  40. M. A. Norcia, R. J. Lewis-Swan, J. R. K. Cline, B. Zhu, A. M. Rey, and J. K. Thompson, Cavity-mediated collective spin-exchange interactions in a strontium superradiant laser, Science 361, 259 (2018).
  41. R. Palacino and J. Keeling, Atom-only theories for U(1) symmetric cavity-QED models, Phys. Rev. Res. 3, L032016 (2021).
  42. E. J. Davis, G. Bentsen, L. Homeier, T. Li, and M. H. Schleier-Smith, Photon-Mediated Spin-Exchange Dynamics of Spin-1 Atoms, Phys. Rev. Lett. 122, 010405 (2019).
  43. A. Periwal, E. S. Cooper, P. Kunkel, J. F. Wienand, E. J. Davis, and M. Schleier-Smith, Programmable interactions and emergent geometry in an array of atom clouds, Nature 600, 630 (2021).
  44. V. D. Vaidya, Y. Guo, R. M. Kroeze, K. E. Ballantine, A. J. Kollár, J. Keeling, and B. L. Lev, Tunable-Range, Photon-Mediated Atomic Interactions in Multimode Cavity QED, Phys. Rev. X 8, 011002 (2018).
  45. B. P. Marsh, Y. Guo, R. M. Kroeze, S. Gopalakrishnan, S. Ganguli, J. Keeling, and B. L. Lev, Enhancing Associative Memory Recall and Storage Capacity Using Confocal Cavity QED, Phys. Rev. X 11, 021048 (2021).
  46. K. Seetharam, A. Lerose, R. Fazio, and J. Marino, Correlation engineering via non-local dissipation, Phys. Rev. Res. 4, 013089 (2022).
  47. J. Klinder, H. Keßler, M. Wolke, L. Mathey, and A. Hemmerich, Dynamical phase transition in the open dicke model, Proc. Natl. Acad. Sci. 112, 3290 (2015).
  48. F. Mivehvar, F. Piazza, T. Donner, and H. Ritsch, Cavity qed with quantum gases: New paradigms in many-body physics, Adv. Phys. 70, 1 (2021).
  49. K. Baumann, C. Guerlin, F. Brennecke, and T. Esslinger, Dicke quantum phase transition with a superfluid gas in an optical cavity, Nature (London) 464, 1301 (2010).
  50. F. Brennecke, T. Donner, S. Ritter, T. Bourdel, M. Köhl, and T. Esslinger, Cavity qed with a bose–einstein condensate, Nature (London) 450, 268 (2007).
  51. T. Fogarty, C. Cormick, H. Landa, V. M. Stojanović, E. Demler, and G. Morigi, Nanofriction in Cavity Quantum Electrodynamics, Phys. Rev. Lett. 115, 233602 (2015).
  52. H. Habibian, A. Winter, S. Paganelli, H. Rieger, and G. Morigi, Bose-Glass Phases of Ultracold Atoms due to Cavity Backaction, Phys. Rev. Lett. 110, 075304 (2013).
  53. L. Himbert, C. Cormick, R. Kraus, S. Sharma, and G. Morigi, Mean-field phase diagram of the extended Bose-Hubbard model of many-body cavity quantum electrodynamics, Phys. Rev. A 99, 043633 (2019).
  54. T. Keller, V. Torggler, S. B. Jäger, S. Schütz, H. Ritsch, and G. Morigi, Quenches across the self-organization transition in multimode cavities, New J. Phys. 20, 025004 (2018).
  55. T. Keller, S. B. Jäger, and G. Morigi, Phases of cold atoms interacting via photon-mediated long-range forces, J. Stat. Mech.: Theory Exp. (2017) 064002.
  56. S. Schütz, S. B. Jäger, and G. Morigi, Dissipation-Assisted Prethermalization in Long-Range Interacting Atomic Ensembles, Phys. Rev. Lett. 117, 083001 (2016).
  57. M. Xu, S. B. Jäger, S. Schütz, J. Cooper, G. Morigi, and M. J. Holland, Supercooling of Atoms in an Optical Resonator, Phys. Rev. Lett. 116, 153002 (2016).
  58. E. A. Yuzbashyan, M. Dzero, V. Gurarie, and M. S. Foster, Quantum quench phase diagrams of an s-wave BCS-BEC condensate, Phys. Rev. A 91, 033628 (2015).
  59. J. Dukelsky, S. Pittel, and G. Sierra, Colloquium: Exactly solvable Richardson-Gaudin models for many-body quantum systems, Rev. Mod. Phys. 76, 643 (2004).
  60. R. W. Richardson, New Class of Solvable and Integrable Many-Body Models, arXiv:cond-mat/0203512.
  61. R. A. Barankov and L. S. Levitov, Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon, Phys. Rev. Lett. 96, 230403 (2006).
  62. R. A. Barankov, L. S. Levitov, and B. Z. Spivak, Collective Rabi Oscillations and Solitons in a Time-Dependent BCS Pairing Problem, Phys. Rev. Lett. 93, 160401 (2004).
  63. E. A. Yuzbashyan, B. L. Altshuler, V. B. Kuznetsov, and V. Z. Enolskii, Nonequilibrium Cooper pairing in the nonadiabatic regime, Phys. Rev. B 72, 220503(R) (2005).
  64. E. A. Yuzbashyan, B. L. Altshuler, V. B. Kuznetsov, and V. Z. Enolskii, Solution for the dynamics of the BCS and central spin problems, J. Phys. A: Math. Gen. 38, 7831 (2005).
  65. E. A. Yuzbashyan, O. Tsyplyatyev, and B. L. Altshuler, Relaxation and Persistent Oscillations of the Order Parameter in Fermionic Condensates, Phys. Rev. Lett. 96, 097005 (2006).
  66. M. A. Norcia and J. K. Thompson, Cold-Strontium Laser in the Superradiant Crossover Regime, Phys. Rev. X 6, 011025 (2016).
  67. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.4.L042032 for a discussion of the band structure and equilibrium phase diagram.
  68. P. Kirton and J. Keeling, Suppressing and Restoring the Dicke Superradiance Transition by Dephasing and Decay, Phys. Rev. Lett. 118, 123602 (2017).
  69. P. Kirton and J. Keeling, Superradiant and lasing states in driven-dissipative Dicke models, New J. Phys. 20, 015009 (2018).
  70. P. Kirton, M. M. Roses, J. Keeling, and E. G. D. Torre, Introduction to the Dicke Model: From Equilibrium to Nonequilibrium, and Vice Versa, Adv. Quantum Technol. 2, 1800043 (2019).
  71. R. W. Richardson and N. Sherman, Exact eigenstates of the pairing-force hamiltonian, Nucl. Phys. 52, 221 (1964).
  72. M. Gaudin, Diagonalisation d'une classe d'hamiltoniens de spin, Journal de Physique 37, 1087 (1976).
  73. See SM for details on Lax Analysis.
  74. See SM for details on mean field approximation for Lindblad Evolution.
  75. See SM for the relation between resonance and minimum of photon density.
  76. C. D. Bruzewicz, J. Chiaverini, R. McConnell, and J. M. Sage, Trapped-ion quantum computing: Progress and challenges, Appl. Phys. Rev. 6, 021314 (2019).
  77. D. E. Chang, J. S. Douglas, A. González-Tudela, C.-L. Hung, and H. J. Kimble, Colloquium: Quantum matter built from nanoscopic lattices of atoms and photons, Rev. Mod. Phys. 90, 031002 (2018).

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Phys. Rev. Research 4, L042032– Published 22 November, 2022
  • Received 28 February 2022
  • Accepted 6 October 2022
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