This review gives a pedagogical introduction to the eigenstate thermalization hypothesis
(ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first …

The approach to thermal equilibrium, or thermalization, in isolated quantum systems is
among the most fundamental problems in statistical physics. Recent theoretical studies have …

Over the past decade, there has been remarkable progress in our understanding of
equilibration, thermalization and prethermalization, due in large part to experimental …

We analyze quantum dynamics of strongly interacting, kinetically constrained many-body
systems. Motivated by recent experiments demonstrating surprising long-lived, periodic …

This review is devoted to the problem of thermalization in a small isolated conglomerate of
interacting constituents. A variety of physically important systems of intensive current interest …

A major open question in studies of nonequilibrium quantum dynamics is the identification of
the time scales involved in the relaxation process of isolated quantum systems that have …

We investigate the eigenstate thermalization hypothesis (ETH) in integrable models,
focusing on the spin-1 2 isotropic Heisenberg (XXX) chain. We provide numerical evidence …

Using arguments built on ergodicity, we derive an analytical expression for the Renyi
entanglement entropies which, we conjecture, applies to the finite-energy density …

Motivated by recent experiments, we study the relaxation dynamics and thermalization in the
one-dimensional Bose-Hubbard model induced by a global interaction quench. Specifically …

In the majority of analytical verifications of the conjecture that the Generalized Gibbs
Ensemble (GGE) describes the large time asymptotics of local observables in quantum …