Quenches in a quasi-disordered integrable lattice system: Dynamics and statistical description of observables after relaxation
arXiv:1206.3570 · doi:10.1103/PhysRevA.86.053615
Abstract
We study the dynamics and the resulting state after relaxation in a quasi-disordered integrable lattice system after a sudden quench. Specifically, we consider hard-core bosons in an isolated one-dimensional geometry in the presence of a quasi-periodic potential whose strength is abruptly changed to take the system out of equilibrium. In the delocalized regime, we find that the relaxation dynamics of one-body observables, such as the density, the momentum distribution function, and the occupation of the natural orbitals, follow, to a good approximation, power laws. In that regime, we also show that the observables after relaxation can be described by the generalized Gibbs ensemble, while such a description fails for the momentum distribution and the natural orbital occupations in the presence of localization. At the critical point, the relaxation dynamics is found to be slower than in the delocalized phase.
arXiv comment12 pages, 9 figures, as published
References in corpus (44)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- The many-body localization phase transition
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Quantum Quench in the Transverse Field Ising Chain
- Quantum Quenches in Extended Systems
- The Luttinger model following a sudden interaction switch-on
- Prethermalization
- Interaction Quench in the Hubbard model
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- Dephasing and the steady state in quantum many-particle systems
- Generalized Thermalization in an Integrable Lattice System
- Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
- Alternatives to Eigenstate Thermalization
- Quantum quench dynamics of the Luttinger model
- Quantum quench dynamics of some exactly solvable models in one dimension
- Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
- Absence of Thermalization in Nonintegrable Systems
- Effective thermal dynamics following a quantum quench in a spin chain
- Hard-core bosons on optical superlattices: Dynamics and relaxation in the superfluid and insulating regimes
- Quantum Quenches in Integrable Field Theories
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Nonthermal steady states after an interaction quench in the Falicov-Kimball model
- Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior
- Thermalization and Quantum Correlations in Exactly Solvable Models
- Relaxation of a one-dimensional Mott insulator after an interaction quench
- Fermionization in an expanding 1D gas of hard-core bosons
- Quantum quench dynamics of the sine-Gordon model in some solvable limits
- Real-time evolution for weak interaction quenches in quantum systems
- Relaxation dynamics in the gapped XXZ spin-1/2 chain
- Initial state dependence of the quench dynamics in integrable quantum systems
- Quantum quenches in disordered systems: Approach to thermal equilibrium without a typical relaxation time
- Free expansion of impenetrable bosons on one-dimensional optical lattices
- Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices
- Initial state dependence of the quench dynamics in integrable quantum systems. II. Thermal states
- Applicability of the generalized Gibbs ensemble after a quench in the quantum Ising chain
- Quantum coherence of Hard-Core-Bosons and Fermions : Extended, Glassy and Mott Phases
- Thermalization in Systems with Bipartite Eigenmode Entanglement
- Noise Correlation Scalings: Revisiting the Quantum Phase Transition in Incommensurate Lattices with Hard-Core Bosons
- Finite-temperature properties of one-dimensional hard-core bosons in a quasiperiodic optical lattice
Cited by in corpus (87)
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Generalized Gibbs ensemble in integrable lattice models
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Time evolution of local observables after quenching to an integrable model
- Many-Body Localization in a Quasiperiodic System
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Reduced Density Matrix after a Quantum Quench
- Finite-size scaling of eigenstate thermalization
- Many-body localization characterized from a one-particle perspective
- Prethermalization and universal dynamics in near-integrable quantum systems
- Off-diagonal matrix elements of local operators in many-body quantum systems
- Validity of the GGE for quantum quenches from interacting to noninteracting models
- Generalized Gibbs Ensembles for Quantum Field Theories
- Quantum quench in the sine-Gordon model
- Interaction quenches in the 1D Bose gas
- Eigenstate thermalization in the two-dimensional transverse field Ising model: II. Off-diagonal matrix elements of observables
- Many-body localization and thermalization in disordered Hubbard chains
- Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
- Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
- Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
- On Generalized Gibbs Ensembles with an infinite set of conserved charges
- Nonequilibrium dynamics of one-dimensional hard-core anyons following a quench: Complete relaxation of one-body observables
- Quench Dynamics of Isolated Many-Body Quantum Systems
- Time Fluctuations in Isolated Quantum Systems of Interacting Particles
- Fundamental Asymmetry in Quenches Between Integrable and Nonintegrable Systems
- Correlations and diagonal entropy after quantum quenches in XXZ chains
- Quantum Quenches in the Luttinger model and its close relatives
- Pre-relaxation in weakly interacting models
- One-particle density matrix characterization of many-body localization
- Quantum quenches and Generalized Gibbs Ensemble in a Bethe Ansatz solvable lattice model of interacting bosons
- Counting local integrals of motion in disordered spinless-fermion and Hubbard chains
- Single-particle and many-body analyses of a quasiperiodic integrable system after a quench
- Nonexponential fidelity decay in isolated interacting quantum systems
- Quantum quenches and many-body localization in the thermodynamic limit
- Spin subdiffusion in disordered Hubbard chain
- Quench dynamics and parity blocking in Majorana wires
- Realistic many-body quantum systems vs full random matrices: static and dynamical properties
- Relaxation and Thermalization after a Quantum Quench: Why Localization is Important
- Relaxation Dynamics of Disordered Spin Chains: Localization and the Existence of a Stationary State
- Quasi-local conserved charges and spin transport in spin- integrable chains
- Effects of the interplay between initial state and Hamiltonian on the thermalization of isolated quantum many-body systems
- Relaxation and Thermalization of Isolated Many-Body Quantum Systems
- Many-body localization caused by temporal disorder
- Out of Time Ordered Correlators and Entanglement Growth in the Random Field XX Spin Chain
- Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
- Integrals of motion for one-dimensional Anderson localized systems
- Direct observation of hydrodynamization and local prethermalization
- Gaussian Equilibration
- Universal dynamics of density correlations at the transition to many-body localized state
- Many-Body Dephasing in a Trapped-Ion Quantum Simulator
- Non-equilibrium quantum relaxation across a localization-delocalization transition
- Distinctive response of many-body localized systems to strong electric field
- Zeros of Loschmidt echo in the presence of Anderson localization
- A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
- Many-particle dephasing after a quench
- Quantum quenches in the thermodynamic limit. II. Initial ground states
- Many-body localization of spinless fermions with attractive interactions in one dimension
- Localization and mobility edges in the off-diagonal quasiperiodic model with slowly varying potentials
- Nonequilibrium quench dynamics in quantum quasicrystals
- Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
- Generalized thermalization in quantum-chaotic quadratic Hamiltonians
- Delocalized charge carriers in strongly disordered t-J model
- Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials
- Geometry of quantum observables and thermodynamics of small systems
- Transient and persistent particle subdiffusion in a disordered chain coupled to bosons
- Modulated trapping of interacting bosons in one dimension
- Equilibration times in clean and noisy systems
- Normal weak eigenstate thermalization
- Out of Time Order Correlations in the Quasi-Periodic Aubry-André model
- Dynamics and level statistics of interacting fermions in the Lowest Landau Level
- Phase diagram of a generalized off-diagonal Aubry-André model with p-wave pairing
- Universal time-fluctuations in near-critical out-of-equilibrium quantum dynamics
- Almost mobility edges and existence of critical regions in one-dimensional quasiperiodic lattices
- Signature of Generalized Gibbs Ensemble Deviation from Equilibrium: Negative Absorption Induced by a Local Quench
- Generalized thermalization for integrable system under quantum quench
- Quadrature interferometry for nonequilibrium ultracold bosons in optical lattices
- Fate of Weyl semimetals in the presence of incommensurate potentials
- Single-quasiparticle eigenstate thermalization
- Interplay of Anderson localization and quench dynamics
- Gaussian ensemble for quantum integrable dynamics
- Trends of information backflow in disordered spin chains
- Emergent eigenstate solution for generalized thermalization
- Timescales and necessary conditions for hydrodynamization in one-dimensional Bose gases
- Effects of intertube dipole-dipole interactions in nearly integrable one-dimensional Dy gases
- Fractal Quasicondensation in One Dimension
- Late-time universal distribution functions of observables in one-dimensional many-body quantum systems