A cavity-QED quantum simulator of dynamical phases of a BCS superconductor

Abstract

We propose to simulate dynamical phases of a BCS superconductor using an ensemble of cold atoms trapped in an optical cavity. Effective Cooper pairs are encoded via internal states of the atoms and attractive interactions are realized via the exchange of virtual photons between atoms coupled to a common cavity mode. Control of the interaction strength combined with a tunable dispersion relation of the effective Cooper pairs allows exploration of the full dynamical phase diagram of the BCS model, as a function of system parameters and the prepared initial state. Our proposal paves the way for the study of non-equilibrium features of quantum magnetism and superconductivity by harnessing atom-light interactions in cold atomic gases.

arXiv comment6+6 pages, 4+3 figures

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• Many-body cavity quantum electrodynamics with driven inhomogeneous emitters
• Engineering random spin models with atoms in a high-finesse cavity
• Emergent parametric resonances and time-crystal phases in driven BCS systems
• Observing dynamical phases of BCS superconductors in a cavity QED simulator
• Dynamical phases transitions in periodically driven Bardeen-Cooper-Schrieffer systems
• Crafting the dynamical structure of synchronization by harnessing bosonic multilevel cavity QED
• Resonant light enhances phase coherence in a cavity QED simulator of fermionic superfluidity
• Spin- and Momentum-Correlated Atom Pairs Mediated by Photon Exchange and Seeded by Vacuum Fluctuations
• Engineering infinite-range SU($n$) interactions with spin-orbit-coupled fermions in an optical lattice
• Engineering Higgs dynamics by spectral singularities
• Integrability, multifractality, and two-photon dynamics in disordered Tavis-Cummings models
• Chirped amplitude mode in photo-excited superconductors
• Dynamics of spin-momentum entanglement from superradiant phase transitions
• Nonlocality as the source of purely quantum dynamics of BCS superconductors
• Emergence of spatial patterns and synchronization in superconducting time crystals
• Solitons in arbitrary dimensions stabilized by photon-mediated interactions
• Melting a Rydberg ice to a topological spin liquid with cavity vacuum fluctuation
• Higgs oscillations in a unitary Fermi superfluid