Nonequilibrium dynamics of one-dimensional hard-core anyons following a quench: Complete relaxation of one-body observables

Abstract

We demonstrate the role of interactions in driving the relaxation of an isolated integrable quantum system following a sudden quench. We consider a family of integrable hard-core lattice anyon models that continuously interpolates between noninteracting spinless fermions and strongly interacting hard-core bosons. A generalized Jordan-Wigner transformation maps the entire family to noninteracting fermions. We find that, aside from the singular free-fermion limit, the entire single-particle density matrix and therefore all one-body observables relax to the predictions of the generalized Gibbs ensemble (GGE). This demonstrates that, in the presence of interactions, correlations between particles in the many-body wave function provide the effective dissipation required to drive relaxation of all one-body observables to the GGE. This relaxation does not depend on translational invariance, or the tracing out of any spatial domain of the system.

5 pages, 4 figures, plus supplementary material (6 pages, 4 figures). v2: Text shortened, and other minor revisions. To appear in PRL

References in corpus (28)

• Thermalization and its mechanism for generic isolated quantum systems
• Quantum Quench in the Transverse Field Ising Chain
• The Luttinger model following a sudden interaction switch-on
• Exact relaxation in a class of non-equilibrium quantum lattice systems
• Dephasing and the steady state in quantum many-particle systems
• Strong and weak thermalization of infinite non-integrable quantum systems
• Generalized Thermalization in an Integrable Lattice System
• Quantum quench dynamics of the Luttinger model
• Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
• Relaxation of a one-dimensional Mott insulator after an interaction quench
• Quantum quench dynamics of the sine-Gordon model in some solvable limits
• Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices
• Anyon-fermion mapping and applications to ultracold gases in tight waveguides
• Anyonic interferometry and protected memories in atomic spin lattices
• Universal properties of hard-core bosons confined on one-dimensional lattices
• Relaxation dynamics in the gapped XXZ spin-1/2 chain
• Fermionization and bosonization of expanding 1D anyonic fluids
• Quenches in a quasi-disordered integrable lattice system: Dynamics and statistical description of observables after relaxation
• Free expansion of impenetrable bosons on one-dimensional optical lattices
• Ground-state properties of hard-core anyons in one-dimensional optical lattices
• Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices
• 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
• One-particle density matrix and momentum distribution function of one-dimensional anyon gases
• Entanglement properties and moment distributions of a system of hard-core anyons on a ring
• Gaussian Equilibration
• Coulomb blockade of anyons
• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials

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• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Generalized Gibbs ensemble in integrable lattice models
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Thermalization and prethermalization in isolated quantum systems: a theoretical overview
• Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
• Prethermalization and thermalization in models with weak integrability breaking
• Eigenstate thermalization in the two-dimensional transverse field Ising model: II. Off-diagonal matrix elements of observables
• Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
• Thermalization and light cones in a model with weak integrability breaking
• Stationary states in a free fermionic chain from the Quench Action Method
• Fundamental Asymmetry in Quenches Between Integrable and Nonintegrable Systems
• Correlations and diagonal entropy after quantum quenches in XXZ chains
• Sudden Expansion of a One-Dimensional Bose Gas from Power-Law Traps
• 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
• Exact dynamics following an interaction quench in a one-dimensional anyonic gas
• Ground-state properties of anyons in a one-dimensional lattice
• Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
• The quench action approach in finite integrable spin chains
• Relaxation to gaussian and generalized Gibbs states in systems of particles with quadratic hamiltonians
• Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics
• Quantum Quench in a Harmonically Trapped One-Dimensional Bose Gas
• Quench echo and work statistics in integrable quantum field theories
• Thermalization of a quantum Newton's cradle in a one-dimensional quasicondensate
• 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
• Anyons from Three-Body Hard-Core Interactions in One Dimension
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• One-body reduced density matrix of trapped impenetrable anyons in one dimension
• Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
• Topological Exchange Statistics in One Dimension
• Correlation functions of one-dimensional strongly interacting two-component gases
• Ground state properties of hard-core anyons in a harmonic potential
• Generalized thermalization in quantum-chaotic quadratic Hamiltonians
• Thermalization after photoexcitation from the perspective of optical spectroscopy
• Creating anyons from photons using a nonlinear resonator lattice subject to dynamic modulation
• Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
• Normal weak eigenstate thermalization
• One-Body Density Matrix and Momentum Distribution of Strongly Interacting One-Dimensional Spinor Quantum Gases
• Suppression and Control of Pre-thermalization in Multi-component Fermi Gases Following a Quantum Quench
• Exact relaxation dynamics and quantum information scrambling in multiply quenched harmonic chains
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model
• Work extraction in an isolated quantum lattice system: Grand canonical and generalized Gibbs ensemble predictions
• Exact many-body scars based on pairs or multimers in a chain of spinless fermions
• Numerical simulation of non-abelian anyons
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• One-dimensional hard-core anyon gas in a harmonic trap at finite temperature
• Single-quasiparticle eigenstate thermalization
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• Approaching off-diagonal long-range order for 1+1-dimensional relativistic anyons
• Gaussian ensemble for quantum integrable dynamics
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
• Relaxation of the entanglement spectrum in quench dynamics of topological systems
• Quasicondensation and off-diagonal long-range order of hard-core bosons during a free expansion
• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Theoretical study on thermalization in isolated quantum systems
• One-dimensional anyons in relativistic field theory
• Triple Antidot Molecules
• Quench Dynamics of Anyon Tonks-Girardeau Gases
• Statistical properties of the off-diagonal matrix elements of observables in eigenstates of integrable systems