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

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 …

A fundamental assumption in statistical physics is that generic closed quantum many-body
systems thermalize under their own dynamics. Recently, the emergence of many-body …

Quantized eigenenergies and their associated wave functions provide extensive information
for predicting the physics of quantum many-body systems. Using a chain of nine …

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 experimentally study the effects of coupling one-dimensional many-body localized
systems with identical disorder. Using a gas of ultracold fermions in an optical lattice, we …

We survey the recent progress made in understanding nonequilibrium dynamics in closed
random systems. The emphasis is on the important role played by concepts from quantum …

We introduce a complex-plane generalization of the consecutive level-spacing ratio
distribution used to distinguish regular from chaotic quantum spectra. Our approach features …

In the presence of disorder, an interacting closed quantum system can undergo many-body
localization (MBL) and fail to thermalize. However, over long times, even weak couplings to …

We explore the high-temperature dynamics of the disordered, one-dimensional XXZ model
near the many-body localization (MBL) transition, focusing on the delocalized (ie,“metallic”) …