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.
12pages, 7 figures, to be published in Phys. Rev. A
References in corpus (14)
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- Localization of interacting fermions at high temperature
- Cold atoms in cavity-generated dynamical optical potentials
- Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
- A Superradiant Topological Peierls Insulator inside an Optical 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
- Photon-mediated Peierls Transition of a 1D Gas in a Multimode Optical Cavity
- Cavity-assisted preparation and detection of a unitary Fermi gas
- Ergodicity breaking with long range cavity induced quasiperiodic interactions