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 …

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

We study many-body localized quantum systems subject to periodic driving. We find that the
presence of a mobility edge anywhere in the spectrum is enough to lead to delocalization for …

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 …

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”) …

We review the current (as of Fall 2016) status of the studies on the emergent integrability in
many‐body localized models. We start by explaining how the phenomenology of fully many …

The low‐frequency response of systems near the many‐body localization phase transition,
on either side of the transition, is dominated by contributions from rare regions that are …

We show that the one-particle density matrix ρ can be used to characterize the interaction-
driven many-body localization transition in closed fermionic systems. The natural orbitals …