Dynamical many-body localization in an integrable model

Abstract

We investigate dynamical many-body localization and delocalization in an integrable system of periodically-kicked, interacting linear rotors. The Hamiltonian we investigate is linear in momentum, and its Floquet evolution operator is analytically tractable for arbitrary interaction strengths. One of the hallmarks of this model is that depending on certain parameters, it manifest both localization and delocalization in momentum space. We explicitly show that for this model, the energy being bounded at long times is not a sufficient condition for dynamical localization. Besides integrals of motion associated to the integrability, this model manifests additional integrals of motion, which are the exclusive consequence of dynamical many-body localization. We also propose an experimental scheme, involving voltage-biased Josephson junctions, to realize such many-body kicked models.

9 pages, 2 figures, expanded version with added results, published version

References in corpus (10)

• Many body localization and thermalization in quantum statistical mechanics
• Localization of interacting fermions at high temperature
• Many-body localization in periodically driven systems
• Integrals of motion in the Many-Body localized phase
• Many-Body Localization in a Quasiperiodic System
• Periodically driven ergodic and many-body localized quantum systems
• Constructing local integrals of motion in the many-body localized phase
• Quantum nonergodicity and fermion localization in a system with a single-particle mobility edge
• Dynamical Localization of Coupled Relativistic Kicked Rotors
• Analyzing many-body localization with a quantum computer

Cited by in corpus (22)

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• Dynamical Localization of Coupled Relativistic Kicked Rotors
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• Many-Body Dynamical Localization in a Kicked Lieb-Liniger Gas
• Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
• Stability and pre-thermalization in chains of classical kicked rotors
• Effective thermalization of a many-body dynamically localized Bose gas
• Dynamical localization of interacting bosons in the few-body limit
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
• Periodically and aperiodically Thue-Morse driven long-range systems: from dynamical localization to slow dynamics
• Self-duality triggered dynamical transition
• Coexistence of directed momentum current and ballistic energy diffusion in coupled non-Hermitian kicked rotors
• Quasi-localization dynamics in a Fibonacci quantum rotor
• Chaos and localized phases in a two-body linear kicked rotor system
• Low-energy prethermal phase and crossover to thermalization in nonlinear kicked rotors
• Protecting Quantum Information via Many-Body Dynamical Localization
• Time crystal embodies chimeralike state in periodically driven quantum spin system
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
• Quantum dynamics of a spin model with an extensive degeneracy