Failure of the Generalized Eigenstate Thermalization Hypothesis in integrable models with multiple particle species
arXiv:1406.4613 · doi:10.1088/1742-5468/2014/09/P09026
Abstract
It has been recently observed for a particular quantum quench in the XXZ spin chain that local observables do not equilibrate to the predictions of the Generalized Gibbs Ensemble (GGE). In this work we argue that the breakdown of the GGE can be attributed to the failure of the Generalized Eigenstate Thermalization Hypothesis (GETH), which has been the main candidate to explain the validity of the GGE. We provide explicit counterexamples to the GETH and argue that generally it does not hold in models with multiple particle species. Therefore there is no reason to assume that the GGE should describe the long time limit of observables in these integrable models.
16 pages, 2 figures, v2: minor modifications
References in corpus (12)
- Thermalization and its mechanism for generic isolated quantum systems
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Dephasing and the steady state in quantum many-particle systems
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Generalized Thermalization in an Integrable Lattice System
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Quantum quench dynamics of the Luttinger model
- Relaxation of a one-dimensional Mott insulator after an interaction quench
- Quasilocal conservation laws in XXZ spin-1/2 chains: open, periodic and twisted boundary conditions
- Mean values of local operators in highly excited Bethe states
- Short distance correlators in the XXZ spin chain for arbitrary string distributions
- Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field
Cited by in corpus (6)
- Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
- Quench action approach for releasing the Néel state into the spin-1/2 XXZ chain
- Quantum quenches and Generalized Gibbs Ensemble in a Bethe Ansatz solvable lattice model of interacting bosons
- Interaction quench in a trapped one-dimensional Bose gas
- Non-equilibrium quantum relaxation across a localization-delocalization transition
- Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement