Ergodicity breaking with long range cavity induced quasiperiodic interactions

Abstract

Many-body localization (MBL) behavior is analyzed {in an extended Bose-Hubbard model with quasiperiodic infinite-range interactions. No additional disorder is present. Examining level statistics and entanglement entropy of eigenstates we show that a significant fraction of eigenstates of the system is localized in the presence of strong interactions. In spite of this, our results suggest that the system becomes ergodic in the standard thermodynamic limit in which the energy of the system is extensive. At the same time, the MBL regime seems to be stable if one allows for a super-extensive scaling of the energy. We show that our findings can be experimentally verified by studies of time dynamics in many-body cavity quantum electrodynamics setups. The "quench spectroscopy" is a particularly effective tool that allows us to systematically study energy dependence of time dynamics and to investigate a mobility edge in our system.

arXiv commentnot too many interesting pages

References in corpus (73)

• Cold bosonic atoms in optical lattices
• Chaos and Quantum Thermalization
• Many body localization and thermalization in quantum statistical mechanics
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Localization of interacting fermions at high temperature
• Many-body localization, thermalization, and entanglement
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• Many-body localization edge in the random-field Heisenberg chain
• Unbounded growth of entanglement in models of many-body localization
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Exploring the many-body localization transition in two dimensions
• Many body localization in Heisenberg XXZ magnet in a random field
• Interacting electrons in disordered wires: Anderson localization and low-temperature transport
• Many-body localization in a quantum simulator with programmable random disorder
• Many-body localization: an introduction and selected topics
• On Many-Body Localization for Quantum Spin Chains
• Universal slow growth of entanglement in interacting strongly disordered systems
• Spectral signatures of many-body localization with interacting photons
• Quantum phases from competing short- and long-range interactions in an optical lattice
• Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
• Quantum chaos challenges many-body localization
• Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
• Atomic Bose and Anderson glasses in optical lattices
• The Ergodic Side of the Many-Body Localization Transition
• Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain
• Observation of Slow Dynamics near the Many-Body Localization Transition in One-Dimensional Quasiperiodic Systems
• Multifractal Scalings across the Many-Body Localization Transition
• Two universality classes for the many-body localization transition
• Mobility Edges in 1D Bichromatic Incommensurate Potentials
• Thouless time analysis of Anderson and many-body localization transitions
• One-dimensional quasicrystals with power-law hopping
• Quantum critical behavior at the many-body-localization transition
• Dynamical obstruction to localization in a disordered spin chain
• Phase Diagram of Bosonic Atoms in Two-Color Superlattices
• Evidence for unbounded growth of the number entropy in many-body localized phases
• Many-body localization and delocalization in large quantum chains
• Entanglement Entropy of Eigenstates of Quantum Chaotic Hamiltonians
• Can we study the many-body localisation transition?
• Mott insulator states of ultracold atoms in optical resonators
• Polynomially filtered exact diagonalization approach to many-body localization
• Mobility edge and intermediate phase in one-dimensional incommensurate lattice potentials
• Observation of energy resolved many-body localization
• Many-Body Delocalization in Strongly Disordered System with Long-Range Interactions: Finite Size Scaling
• Many-body localization due to random interactions
• A User-Friendly Hybrid Sparse Matrix Class in C++
• Bose-glass phases of ultracold atoms due to cavity backaction
• Localization in a random $x-y$ model with the long-range interaction: Intermediate case between single particle and many-body problems
• Phase Transitions in a Bose-Hubbard Model with Cavity-Mediated Global-Range Interactions
• Time dynamics with matrix product states: Many-body localization transition of large systems revisited
• Is there slow particle transport in the MBL phase?
• Many-body delocalization dynamics in long Aubry-André quasiperiodic chains
• Instability of many-body localized systems as a phase transition in a nonstandard thermodynamic limit
• Dynamics and Transport at the Threshold of Many-Body Localization
• Many-body localization of bosons in optical lattices
• Detecting a many-body mobility edge with quantum quenches
• Quantum dynamics of disordered spin chains with power-law interactions
• Ultracold Bosons with cavity-mediated long-range interactions: A local mean field analysis of the phase diagram
• Many-body localization of bosons in optical lattice: Dynamics in disorder-free potentials
• Many-Body Localization in System with a Completely Delocalized Single-Particle Spectrum
• Breakdown of adiabaticity when loading ultra-cold atoms in optical lattices
• Universal algebraic growth of entanglement entropy in many-body localized systems with power-law interactions
• Many-body localization in presence of cavity mediated long-range interactions
• Many-body localization for randomly interacting bosons
• Thermodynamics and dynamics of atomic self-organization in an optical cavity
• Quantum phases of incommensurate optical lattices due to cavity backaction
• Quasi-Many-Body Localization of Interacting Fermions with Long-Range Couplings
• Statistical Bubble Localization with Random Interactions
• Local quench spectroscopy of many-body quantum systems
• Many-body localization in spin chains with the long-range transverse interactions: scaling of critical disorder with the system size
• Localization transition in presence of cavity backaction
• Single-particle localization in dynamical potentials
• Breakdown of ergodicity in disordered U(1) lattice gauge theories
• Many-body localization in one dimensional optical lattice with speckle disorder

Cited by in corpus (13)

• Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
• Challenges to observation of many-body localization
• Many-Body Localization in the Age of Classical Computing
• Metastability and discrete spectrum of long-range systems
• Many-body localization in tilted and harmonic potentials
• Mobility edge in long-range interacting many-body localized systems
• Critical light-matter entanglement at cavity mediated phase transition
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Light-matter correlations in Quantum Floquet engineering of cavity quantum materials
• Many-body localization regime for cavity induced long-range interacting models
• Many-body localization of one-dimensional degenerate Fermi gases with cavity-assisted non-local quasiperiodic interactions
• Master Equation for a Quantum Gas of Polarizable Particles in Cavities
• Families of localized modes of Bose-Einstein condensates enabled by incommensurate optical lattice and photon-atom interactions