Entanglement prethermalization in the Tomonaga-Luttinger model
arXiv:1708.02404 · doi:10.1103/PhysRevA.97.013622
Abstract
Prethermalization refers to the relaxation to a quasi-stationary state before reaching thermal equilibrium. Recently, it is found that not only local conserved quantities but also entanglement plays a key role in a special type of prethermalization, called entanglement prethermalization. Here, we show that in the Tomonaga-Luttinger model the entanglement prethermalization can also be explained by the conventional prethermalization of two independent subsystems without entanglement. Moreover, it is argued that prethermalization in the Tomonaga-Luttinger model is essentially different from entanglement prethermalization in the Lieb-Liniger model because of the different types of energy degeneracies.
arXiv comment9 pages
References in corpus (44)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- 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
- Quantum thermalization through entanglement in an isolated many-body system
- The foundations of statistical mechanics from entanglement: Individual states vs. averages
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Quantum Quench in the Transverse Field Ising Chain
- Generalized Gibbs ensemble in integrable lattice models
- Experimental Observation of a Generalized Gibbs Ensemble
- Quantum mechanical evolution towards thermal equilibrium
- The Luttinger model following a sudden interaction switch-on
- Prethermalization
- Local emergence of thermal correlations in an isolated quantum many-body system
- From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
- Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
- Constructing the generalized Gibbs ensemble after a quantum quench
- Hard-core bosons on optical superlattices: Dynamics and relaxation in the superfluid and insulating regimes
- Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain
- Dynamical Correlations after a Quantum Quench
- Validity of the GGE for quantum quenches from interacting to noninteracting models
- Equilibration of a Tonks-Girardeau gas following a trap release
- Thermalization and Quantum Correlations in Exactly Solvable Models
- Relaxation of a one-dimensional Mott insulator after an interaction quench
- The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
- Normal Typicality and von Neumann's Quantum Ergodic Theorem
- Generalized Gibbs Ensemble for Heisenberg Spin Chains
- Exact time evolution of space- and time-dependent correlation functions after an interaction quench in the 1D Bose gas
- Luttinger liquid universality in the time evolution after an interaction quench
- Relaxation timescales and decay of correlations in a long-range interacting quantum simulator
- Quantum quenches from excited states in the Ising chain
- Ramsey interference in one dimensional systems: The full distribution function of fringe contrast as a probe of many-body dynamics
- Multimode dynamics and emergence of a characteristic length-scale in a one-dimensional quantum system
- Finite-size corrections vs. relaxation after a sudden quench
- Exact relaxation dynamics of a localized many-body state in the 1D bose gas
- Breakdown of the generalized Gibbs ensemble for current-generating quenches
- 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
- Relaxation dynamics of two coherently coupled one-dimensional bosonic gases
- Entanglement prethermalization: Locally thermal but non-locally non-thermal states in a one-dimensional Bose gas
- Equilibration and GGE for hard wall boundary conditions
- Quench-induced entanglement and relaxation dynamics in Luttinger liquids
- Entanglement Pre-thermalization in an Interaction Quench between Two Harmonic Oscillators
Cited by in corpus (10)
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Prethermalization in the transverse-field Ising chain with long-range interactions
- Universal Prethermal Dynamics in Gross-Neveu-Yukawa Criticality
- Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
- Poor man's approach to thermalization in Luttinger liquid
- Unbounded entropy production and violent fragmentation for repulsive-to-attractive interaction quench in long-range interacting systems
- Non-thermal Tomonaga-Luttinger liquid eventually emerging from hot electrons in the quantum Hall regime
- Recurrence times of the Lieb-Liniger model in the weak and strong coupling regimes
- Prethermalization of density-density correlations after an interaction quench in the Hubbard model
- Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid