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 …

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

How do closed quantum many-body systems driven out of equilibrium eventually achieve
equilibration? And how do these systems thermalize, given that they comprise so many …

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 …

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 …

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 …

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 ask whether the eigenstate thermalization hypothesis (ETH) is valid in a strong sense: in
the limit of an infinite system, every eigenstate is thermal. We examine expectation values of …

Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …

We develop a general framework to describe the thermodynamics of microscopic heat
engines driven by arbitrary periodic temperature variations and modulations of a mechanical …