Many-body localization of one-dimensional degenerate Fermi gases with cavity-assisted non-local quasiperiodic interactions
arXiv:2204.11296 · doi:10.1103/PhysRevA.106.023307
Abstract
The localization properties of one-dimensional degenerate Fermi gases with cavity-assisted non-local quasiperiodic interactions are numerically studied. Although the cavity-induced interaction is typically nonlocal, it is proved that the eigenstate thermalization hypothesis (ETH) is still applicable in our system depending on the system parameters. We also find the segment of the spectrum corresponding to infinite effective temperature varies for different system parameters, which indicates the spectral range employed in the spectral statistical analysis should be varied accordingly. The features of many-body localization (MBL) are numerically identified by analyzing the spectral statistics and the entanglement entropy using exact diagonalization. These features are further confirmed by our time evolution results. In addition, the number of cavity photons are found stable over long time dynamics in the MBL phase. Such a feature can not only be utilized to nondestructively diagnose the MBL phase by monitoring the number of leaking photons from the cavity, but leveraged for constructing a device to produce a stable number of photons.
arXiv comment12pages, 7 figures, to be published in Phys. Rev. A
References in corpus (37)
- Feshbach Resonances in Ultracold Gases
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Average Entropy of a Subsystem
- The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
- The many-body localization phase transition
- Cold atoms in cavity-generated dynamical optical potentials
- Eigenstate Thermalization Hypothesis
- Quantum phases from competing short- and long-range interactions in an optical lattice
- Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
- Alternatives to Eigenstate Thermalization
- Many-body Localization with Dipoles
- Fermionic Superradiance in a Transversely Pumped Optical Cavity
- Umklapp Superradiance from a Collisionless Quantum Degenerate Fermi Gas
- Superradiance of Degenerate Fermi Gases in a Cavity
- A Superradiant Topological Peierls Insulator inside an Optical Cavity
- Topological superradiance in a degenerate Fermi gas
- Integrability and Quantum Chaos in Spin Glass Shards
- Many-body localization and quantum ergodicity in disordered long-range Ising models
- Control and Manipulation of Cold Atoms in Optical Tweezers
- Superfluid--Mott insulator transition of ultracold superradiant bosons in a cavity
- Strongly correlated Fermions strongly coupled to light
- Eigenstate Thermalization in Long-Range Interacting Systems
- Many-body localization in Ising models with random long-range interactions
- Statistical Bubble Localization with Random Interactions
- Mott transition in a cavity-boson system: A quantitative comparison between theory and experiment
- Many-body localization in XY spin chains with long-range interactions: An exact diagonalization study
- Photon-mediated Peierls Transition of a 1D Gas in a Multimode Optical Cavity
- Cavity-induced switching between localized and extended states in a non-interacting Bose-Einstein condensate
- Cavity-assisted preparation and detection of a unitary Fermi gas
- Topological superradiant state in Fermi gases with cavity induced spin-orbit coupling
- Localization transition in presence of cavity backaction
- Ergodicity breaking with long range cavity induced quasiperiodic interactions