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 …

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 …

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

We analyze a one-dimensional XXZ spin chain in a disordered magnetic field. As the main
probes of the system's behavior, we use the sensitivity of eigenstates to adiabatic …

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 large-scale exact diagonalization study of the one-dimensional spin-1/2
Heisenberg model in a random magnetic field. In order to access properties at varying …

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 consider fully many-body-localized systems, ie, isolated quantum systems where all the
many-body eigenstates of the Hamiltonian are localized. We define a sense in which such …