Low-energy prethermal phase and crossover to thermalization in nonlinear kicked rotors
arXiv:2207.05037 · doi:10.1103/PhysRevA.106.043304
Abstract
In the presence of interactions, periodically-driven quantum systems generically thermalize to an infinite-temperature state. Recently, however, it was shown that in random kicked rotors with local interactions, this long-time equilibrium could be strongly delayed by operating in a regime of weakly fluctuating random phases, leading to the emergence of a metastable thermal ensemble. Here we show that when the random kinetic energy is smaller than the interaction energy, this system in fact exhibits a much richer dynamical phase diagram, which includes a low-energy pre-thermal phase characterized by a light-cone spreading of correlations in momentum space. We develop a hydrodynamic theory of this phase and find a very good agreement with exact numerical simulations. We finally explore the full dynamical phase diagram of the system and find that the transition toward full thermalization is characterized by relatively sharp crossovers.
arXiv comment12 pages, 7 figures
References in corpus (49)
- Nonequilibrium dynamics of closed interacting quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Experimental Observation of a Generalized Gibbs Ensemble
- Eigenstate Thermalization Hypothesis
- Long-time behavior of periodically driven isolated interacting lattice systems
- Many-body localization in periodically driven systems
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Prethermalization
- Experimental observation of the Anderson transition with atomic matter waves
- Local emergence of thermal correlations in an isolated quantum many-body system
- Exponentially slow heating in periodically driven many-body systems
- Fate of many-body localization under periodic driving
- Periodically driven ergodic and many-body localized quantum systems
- Extension of Bogoliubov theory to quasi-condensates
- Periodically Driving a Many-Body Localized Quantum System
- Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
- Pre-thermal phases of matter protected by time-translation symmetry
- Condensation of classical nonlinear waves
- Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model
- Bose beams: coherent propagation through a guide
- The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
- Prethermalization and Thermalization in Isolated Quantum Systems
- Interaction dependent heating and atom loss in a periodically driven optical lattice
- Floquet prethermalization in a Bose-Hubbard system
- Asymptotic Prethermalization in Periodically Driven Classical Spin Chains
- A classical scaling theory of quantum resonances
- How nonlinear interactions challenge the three-dimensional Anderson transition
- Wave pattern induced by a localized obstacle in the flow of a one-dimensional polariton condensate
- Controlling symmetry and localization with an artificial gauge field in a disordered quantum system
- Interactions destroy dynamical localization with strong and weak chaos
- Dynamical many-body localization in an integrable model
- Prethermalization and Thermalization of a Quenched Interacting Luttinger Liquid
- Many-Body Dynamical Localization in a Kicked Lieb-Liniger Gas
- Dynamics of the mean-field interacting quantum kicked rotor
- Quantum Resonances of Kicked Rotor and SU(q) group
- Thermalization of matter waves in speckle potentials
- Kicked rotor quantum resonances in position space
- Return to the Origin as a Probe of Atomic Phase Coherence
- Coherent multiple scattering of out-of-equilibrium interacting Bose gases
- Suppression of heating by long-range interactions in periodically driven spin chains
- Non-equilibrium pre-thermal states in a two-dimensional photon fluid
- Momentum distribution and coherence of a weakly interacting Bose gas after a quench
- Weakly interacting disordered Bose gases out of equilibrium: from multiple scattering to superfluidity
- Slow heating in a quantum coupled kicked rotors system
- Quench dynamics of a weakly interacting disordered Bose gas in momentum space
- Postquench prethermalization in a disordered quantum fluid of light
- A self-consistent theory of localization in nonlinear random media