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.
12 pages, 9 figures, as published
References in corpus (21)
- Thermalization and its mechanism for generic isolated quantum systems
- Localization of interacting fermions at high temperature
- Quantum Quench in the Transverse Field Ising Chain
- The Luttinger model following a sudden interaction switch-on
- 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 dynamics of the Luttinger model
- Absence of Thermalization in Nonintegrable Systems
- Effective thermal dynamics following a quantum quench in a spin chain
- 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
- 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
- Relaxation dynamics in the gapped XXZ spin-1/2 chain
- 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
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- Quantum quench in the sine-Gordon model
- Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
- Correlations and diagonal entropy after quantum quenches in XXZ chains
- Pre-relaxation in weakly interacting models
- Quantum quenches and Generalized Gibbs Ensemble in a Bethe Ansatz solvable lattice model of interacting bosons
- Nonexponential fidelity decay in isolated interacting quantum systems
- Quantum quenches and many-body localization in the thermodynamic limit
- 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
- Many-body localization caused by temporal disorder
- Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
- Gaussian Equilibration
- Non-equilibrium quantum relaxation across a localization-delocalization transition
- Universal dynamics of density correlations at the transition to many-body localized state
- 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
- Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials
- Modulated trapping of interacting bosons in one dimension
- Equilibration times in clean and noisy systems
- Phase diagram of a generalized off-diagonal Aubry-André model with p-wave pairing
- Quadrature interferometry for nonequilibrium ultracold bosons in optical lattices