Signatures of chaos and thermalization in the dynamics of many-body quantum systems
arXiv:1804.06401 · doi:10.1140/epjst/e2019-800057-8
Abstract
We extend the results of two of our papers [Phys. Rev. A 94, 041603R (2016) and Phys. Rev. B 97, 060303R (2018)] that touch upon the intimately connected topics of quantum chaos and thermalization. In the first, we argued that when the initial state of isolated lattice many-body quantum systems is chaotic, the power-law decay of the survival probability is caused by the bounds in the spectrum, and thus anticipates thermalization. In the current work, we provide stronger numerical support for the onset of these algebraic behaviors. In the second paper, we demonstrated that the correlation hole, which is a direct signature of quantum chaos revealed by the evolution of the survival probability at times beyond the power-law decay, appears also for other observables. In the present work, we investigate the correlation hole in the chaotic regime and in the vicinity of a many-body localized phase for the spin density imbalance, which is an observable studied experimentally.
arXiv comment10 pages, 3 figures
References in corpus (54)
- Chaos and Quantum Thermalization
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Random Matrix Theories in Quantum Physics: Common Concepts
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Observation of entanglement propagation in a quantum many-body system
- Non-local propagation of correlations in long-range interacting quantum systems
- From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Alternatives to Eigenstate Thermalization
- Extended slow dynamical regime close to the many-body localization transition
- The Ergodic Side of the Many-Body Localization Transition
- Quantum equilibration in finite time
- Statistical Theory of Finite Fermi-Systems Based on the Structure of Chaotic Eigenstates
- Dynamics at the Many-Body Localization Transition
- Integrability of a disordered Heisenberg spin-1/2 chain
- Typical fast thermalization processes in closed many-body systems
- Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance and out-of-time-ordered correlator
- Extended nonergodic states in disordered many-body quantum systems
- Entanglement versus chaos in disordered spin chains
- On the time scales in the approach to equilibrium of macroscopic quantum systems
- Local quenches with global effects in interacting quantum systems
- Quantum Systems Equilibrate Rapidly for Most Observables
- Long-time behavior of many-particle quantum decay
- Quench Dynamics of Isolated Many-Body Quantum Systems
- Time Fluctuations in Isolated Quantum Systems of Interacting Particles
- Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace
- General Features of the Relaxation Dynamics of Interacting Quantum Systems
- Many-Body Localization in Spin Chain Systems with Quasiperiodic Fields
- Dynamical Manifestations of Quantum Chaos: Correlation Hole and Bulge
- Unconventional decay law for excited states in closed many-body systems
- Entropy production and wave packet dynamics in the Fock space of closed chaotic many-body systems
- Inevitable Power-law Behavior of Isolated Many-Body Quantum Systems and How It Anticipates Thermalization
- Power-law decay exponents: a dynamical criterion for predicting thermalization
- Nonexponential fidelity decay in isolated interacting quantum systems
- Equilibration time scales in closed many-body quantum systems
- Realistic many-body quantum systems vs full random matrices: static and dynamical properties
- Effects of the interplay between initial state and Hamiltonian on the thermalization of isolated quantum many-body systems
- Interplay between interaction and (un)correlated disorder in one-dimensional many-particle systems: delocalization and global entanglement
- Relaxation and Thermalization of Isolated Many-Body Quantum Systems
- General properties of the evolution of unstable states at long times
- Exact Quantum Decay of an Interacting Many-Particle System: the Calogero-Sutherland model
- Structure of wavefunctions in (1+2)-body random matrix ensembles
- Return probability: Exponential versus Gaussian decay
- Signatures of the correlation hole in total and partial cross sections
- Escape Behavior of Quantum Two-Particle Systems with Coulomb Interactions
- Decay of a Thermofield-Double State in Chaotic Quantum Systems
- From few- to many-body quantum systems
- Mechanism of slow equilibration of isolated quantum systems
- General relaxation time of the fidelity for isolated quantum thermodynamic systems
- Survival Probability of the Néel State in Clean and Disordered Systems: an Overview
- Nonequilibrium many-body quantum dynamics: from full random matrices to real systems
Cited by in corpus (16)
- Thouless and relaxation time scales in many-body quantum systems
- Dynamical signatures of quantum chaos and relaxation timescales in a spin-boson system
- Equilibration time in many-body quantum systems
- Quantum chaos in a system with high degree of symmetries
- Quantum coherence and the localization transition
- Level Repulsion and Dynamics in the Finite One-Dimensional Anderson Model
- Self-averaging in many-body quantum systems out of equilibrium: Time dependence of distributions
- Dynamics of spectral correlations in the entanglement Hamiltonian of the Aubry-André-Harper model
- Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
- Effects of auto-correlated disorder on the dynamics in the vicinity of the many-body localization transition
- Generalized Survival Probability
- Nonequilibrium many-body quantum dynamics: from full random matrices to real systems
- Persistent revivals in a system of trapped bosonic atoms
- Onset of universality in the dynamical mixing of a pure state
- Late-time universal distribution functions of observables in one-dimensional many-body quantum systems
- False signals of chaos from quantum probes