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 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 …

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 …

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 …

Many-body localization is shown to suppress the imaginary parts of complex eigenenergies
for general non-Hermitian Hamiltonians having time-reversal symmetry. We demonstrate …

We propose a theory that describes quantitatively the (in) stability of fully many-body
localization (MBL) systems due to ergodic, ie, delocalized, grains, that can be, for example …

We study the dynamics of isolated interacting spin chains that are periodically driven by
sudden quenches. Using full exact diagonalization of finite chains, we show that these …

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 …

Quantum thermalization is well understood via the eigenstate thermalization hypothesis
(ETH). The general form of ETH, describing all the relevant correlations of matrix elements …