Lack of thermalization for integrability-breaking impurities
arXiv:1807.00625 · doi:10.1209/0295-5075/125/20001
Abstract
We investigate the effects of localized integrability-breaking perturbations on the large times dynamics of thermodynamic quantum and classical systems. In particular, we suddenly activate an impurity which breaks the integrability of an otherwise homogeneous system. We focus on the large times dynamics and on the thermalization properties of the impurity, which is shown to have mere perturbative effects even at infinite times, thus preventing thermalization. This is in clear contrast with homogeneous integrability-breaking terms, which display the prethermalization paradigm and are expected to eventually cause thermalization, no matter the weakness of the integrability-breaking term. Analytic quantitative results are obtained in the case where the bulk Hamiltonian is free and the impurity interacting.
21 pages, 6 figures
References in corpus (27)
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Quantum Quench in the Transverse Field Ising Chain
- Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
- Breakdown of thermalization in finite one-dimensional systems
- Interaction Quench in the Hubbard model
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Quantum transport through a Tonks-Girardeau gas
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
- Dynamical Correlations after a Quantum Quench
- Validity of the GGE for quantum quenches from interacting to noninteracting models
- Generalized Gibbs Ensembles for Quantum Field Theories
- Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- Metastable superfluidity of repulsive fermionic atoms in optical lattices
- Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
- Thermalization and light cones in a model with weak integrability breaking
- Pre-relaxation in weakly interacting models
- Energy transport in an integrable parafermionic chain via generalized hydrodynamics
- Quantum quenches and Generalized Gibbs Ensemble in a Bethe Ansatz solvable lattice model of interacting bosons
- Prethermalization in one-dimensional Bose gases: description by a stochastic Ornstein-Uhlenbeck process
- Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents
- Quasi locality of the GGE in interacting-to-free quenches in relativistic field theories
- Quasilocal charges and progress towards the complete GGE for field theories with non-diagonal scattering
- Superluminal moving defects in the Ising spin chain
- Equations of Motion for the Out-of-Equilibrium Dynamics of Isolated Quantum Systems from the Projection Operator Technique
Cited by in corpus (16)
- Generalized hydrodynamics with space-time inhomogeneous interactions
- Eigenstate thermalization and quantum chaos in the Holstein polaron model
- Integrability-protected adiabatic reversibility in quantum spin chains
- Onset of many-body quantum chaos due to breaking integrability
- Ballistic transport and boundary resistances in inhomogeneous quantum spin chains
- Extensive Long-Range Entanglement in a Nonequilibrium Steady State
- Transport through interacting defects and lack of thermalisation
- Global Quenches after Localised Perturbations
- Exploring integrability-chaos transition with a sequence of independent perturbations
- Exact asymptotics of long-range quantum correlations in a nonequilibrium steady state
- Extensive Long-Range Entanglement at Finite Temperatures from a Nonequilibrium Bias
- From Dyson Models to Many-Body Quantum Chaos
- Transition to chaos in extended systems and their quantum impurity models
- A hydrodynamic approach to Stark localization
- Ballistic propagation of a local impact in the one-dimensional model
- Quantum chaos in a harmonic waveguide with scatterers