Many-body dynamical localization in the kicked Bose-Hubbard chain

Abstract

We provide evidence that a clean kicked Bose-Hubbard model exhibits a many-body dynamically localized phase. This phase shows ergodicity breaking up to the largest sizes we were able to consider. We argue that this property persists in the limit of large size. The Floquet states violate eigenstate thermalization and then the asymptotic value of local observables depends on the initial state and is not thermal. This implies that the system does not generically heat up to infinite temperature, for almost all the initial states. Differently from many-body localization here the entanglement entropy linearly increases in time. This increase corresponds to space-delocalized Floquet states which are nevertheless localized across specific subsectors of the Hilbert space: In this way the system is prevented from randomly exploring all the Hilbert space and does not thermalize.

18 pages, 20 figures, revised version published in PRB

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Cited by in corpus (18)

• Many-Body Localization in the Age of Classical Computing
• To heat or not to heat: time crystallinity and finite-size effects in clean Floquet systems
• Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
• Quantum chaos and ensemble inequivalence of quantum long-range Ising chains
• Non-ergodic behaviour of clean Bose-Hubbard chains
• Quantum localization measures in phase space
• Identification of quantum scars via phase-space localization measures
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Chaos and subdiffusion in the infinite-range coupled quantum kicked rotors
• The ergodic and non-ergodic phases in one dimensional clean Jaynes-Cummings-Hubbard system
• Thermalization of long range Ising model in different dynamical regimes: a full counting statistics approach
• Protecting Quantum Information via Many-Body Dynamical Localization
• Extended nonergodic regime and spin subdiffusion in disordered SU(2)-symmetric Floquet systems
• Entanglement behavior and localization properties in monitored fermion systems
• Effective dynamics and quantum state engineering by periodic kicks
• Quantum dynamics of a spin model with an extensive degeneracy
• Statistical Floquet prethermalization of the Bose-Hubbard model
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain