Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

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 emergence of statistical mechanics for isolated classical systems comes about through
chaotic dynamics and ergodicity. Here we review how similar questions can be answered in …

Recent realization of a kinetically constrained chain of Rydberg atoms by Bernien,[Nature
(London) 551, 579 (2017) NATUAS 0028-0836 10.1038/nature24622] resulted in the …

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

We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

We review some recent developments in the statistical mechanics of isolated quantum
systems. We provide a brief introduction to quantum thermalization, paying particular …

We review the dynamics after quantum quenches in integrable quantum spin chains. We
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …

This article is a brief introduction to the rapidly evolving field of many‐body localization.
Rather than giving an in‐depth review of the subject, our aspiration here is simply to …

We discuss a method of numerically identifying exact energy eigenstates for a finite system,
whose form can then be obtained analytically. We demonstrate our method by identifying …