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 …

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 …

In the time evolution of isolated quantum systems out of equilibrium, local observables
generally relax to a long-time asymptotic value, governed by the expectation values …

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 …

We consider the time evolution following a quantum quench in spin-1/2 chains. It is well
known that local conservation laws constrain the dynamics and, eventually, the stationary …

This work supports the existence of extended nonergodic states in the intermediate region
between the chaotic (thermal) and the many‐body localized phases. These states are …

We study one-dimensional lattices of interacting spins-1 2 and show that the effects of
quenching the amplitude of a local magnetic field applied to a single site of the lattice can be …

A main feature of a chaotic quantum system is a rigid spectrum where the levels do not
cross. We discuss how the presence of level repulsion in lattice many-body quantum …

We introduce a linked-cluster based computational approach that allows one to study
quantum quenches in lattice systems in the thermodynamic limit. This approach is used to …