Thermalization and ergodicity in many-body open quantum systems

Abstract

We study thermalization in many-body quantum systems locally coupled to an external bath. It is shown that quantum chaotic systems do thermalize, that is, they exhibit relaxation to an invariant ergodic state which, in the bulk, is well approximated by the grand canonical state. Moreover, the resulting ergodic state in the bulk does not depend on the details of the baths. On the other hand, for integrable systems the invariant state does depend on the bath and is different from the grand canonical state.

4 pages, 4 figures; v2. one new figure

References in corpus (23)

• Thermalization and its mechanism for generic isolated quantum systems
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Quantum mechanical evolution towards thermal equilibrium
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Breakdown of thermalization in finite one-dimensional systems
• The Luttinger model following a sudden interaction switch-on
• Dephasing and the steady state in quantum many-particle systems
• Strongly correlated fermions after a quantum quench
• Typicality for Generalized Microcanonical Ensembles
• Effective thermal dynamics following a quantum quench in a spin chain
• Matrix product simulations of non-equilibrium steady states of quantum spin chains
• Modeling heat transport through completely positive maps
• Full control by locally induced relaxation
• Nonthermal steady states after an interaction quench in the Falicov-Kimball model
• Relaxation of a one-dimensional Mott insulator after an interaction quench
• Is efficiency of classical simulations of quantum dynamics related to integrability?
• Existence of temperature on the nanoscale
• Correlations in an expanding gas of hard-core bosons
• Origin of the Canonical Ensemble: Thermalization with Decoherence
• Unitarity, ergodicity, and quantum thermodynamics
• Thermalization dynamics close to a quantum phase transition
• Global and local relaxation of a spin-chain under exact Schroedinger and master-equation dynamics

Cited by in corpus (55)

• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Quantum trajectories and open many-body quantum systems
• Finite-temperature transport in one-dimensional quantum lattice models
• Spin transport in a one-dimensional anisotropic Heisenberg model
• Relaxation times of dissipative many-body quantum systems
• Out of equilibrium open quantum systems: a comparison of approximate Quantum Master Equation approaches with exact results
• Nonequilibrium Phase Diagram of a Driven-Dissipative Many-Body System
• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
• Transport in a disordered tight-binding chain with dephasing
• Nonequilibrium quantum criticality in open systems: The dissipation rate as an additional indispensable scaling variable
• Universal simulation of Markovian open quantum systems
• Anomalous heat transport in classical many-body systems: overview and perspectives
• Digital quantum simulation of many-body non-Markovian dynamics
• Finite-temperature magnetization transport of the one-dimensional anisotropic Heisenberg model
• Transport in a one-dimensional isotropic Heisenberg model at high temperature
• Long range order in non-equilibrium interacting quantum spin chains
• Asymmetry in energy versus spin transport in certain interacting, disordered systems
• Two-Unitary Decomposition Algorithm and Open Quantum System Simulation
• Tensor network simulation of chains of non-Markovian open quantum systems
• Energy transport in a disordered spin chain with broken U(1) symmetry: Diffusion, subdiffusion, and many-body localization
• Universal Dynamics of Stochastically Driven Quantum Impurities
• Coexistence of energy diffusion and local thermalization in nonequilibrium XXZ spin chains with integrability breaking
• Thermalization in Open Quantum Systems
• Parametric instability in coupled nonlinear microcavities
• Magnetization transport in spin ladders and next-nearest-neighbor chains
• Nonequilibrium steady-state Kubo formula: equality of transport coefficients
• Transport properties of a boundary-driven one-dimensional gas of spinless fermions
• Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
• Scaling behavior of quantum critical relaxation dynamics in a heat bath
• Searching for Lindbladians obeying local conservation laws and showing thermalization
• Static and dynamical quantum correlations in phases of an alternating field XY model
• Eigenvalue statistics as indicator of integrability of non-equilibrium density operators
• Thermalization in one- plus two-body ensembles for dense interacting boson systems
• Mana and thermalization: probing the feasibility of near-Clifford Hamiltonian simulation
• Dissipation-driven integrable fermionic systems: from graded Yangians to exact nonequilibrium steady states
• Thermalization with detailed-balanced two-site Lindblad dissipators
• Quantum Equilibration under Constraints and Transport Balance
• Temperature Dependent Energy Diffusion in Chaotic Spin Chains
• Tuning interaction strength leads to ergodic-nonergodic transition of quantum correlations in anisotropic Heisenberg spin model
• Experimental demonstration of a measurement-based realisation of a quantum channel
• An Extension of ETH to Non-Equilibrium Steady States
• Emergence of a quasi-ergodic steady state in a dissipative Tavis-Cummings array
• Quantum-to-Classical Reduction of Quantum Master Equations
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Thermalization at Low Temperatures via Weakly-Damped Multi-Site Baths
• Asymmetric environment induces protein-like relaxation in spin chain
• Global becomes local: Efficient many-body dynamics for global master equations
• Integrability versus chaos in the steady state of many-body open quantum systems
• Dissipative chaos and steady state of open Tavis-Cummings dimer
• Temperature dependence of energy transport in the ${\mathbb{Z}}_3$ chiral clock model
• Universality in Non-Equilibrium Quantum Systems
• Caustics in the sine-Gordon model from quenches in coupled 1D Bose gases
• Local temperature and chemical potential inside a mesoscopic device driven out of equilibrium
• Dephasing-Controlled Particle Transport Devices
• Quantum statistical ensemble for emissive correlated systems