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

What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …

The thermodynamic description of many-particle systems rests on the assumption of
ergodicity, the ability of a system to explore all allowed configurations in the phase space …

This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

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 …

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 …

Many-body localization occurs in isolated quantum systems when Anderson localization
persists in the presence of finite interactions. Despite strong evidence for the existence of a …

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 present a detailed analysis of the length-and timescales needed to approach the critical
region of MBL from the delocalised phase, studying both eigenstates and the time evolution …

We construct a complete set of quasi-local integrals of motion for the many-body localized
phase of interacting fermions in a disordered potential. The integrals of motion can be …