Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

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 …

We re-examine attempts to study the many-body localization transition using measures that
are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using …

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 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 …

In contrast with Anderson localization where a genuine localization is observed in real
space, the many-body localization (MBL) problem is much less understood in Hilbert space …

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”) …

The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …

Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …