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 …

Characterizing states of matter through the lens of their ergodic properties is a fascinating
new direction of research. In the quantum realm, the many-body localization (MBL) was …

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 …

In a many-body localized (MBL) quantum system, the ergodic hypothesis breaks down,
giving rise to a fundamentally new many-body phase. Whether and under which conditions …

Thermal and many-body localized phases are separated by a dynamical phase transition of
a new kind. We analyze the distribution of off-diagonal matrix elements of local operators …

Many-body localization (MBL) describes a class of systems that do not approach thermal
equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form …

The random-field spin-1/2 XXZ chains, and the corresponding Anderson insulators of
spinless fermions with density-density interaction, have been intensively studied in the …

We investigate charge relaxation in disordered and quasiperiodic quantum wires of spinless
fermions (t− V model) at different inhomogeneity strength W in the localized and nearly …

As disorder strength increases in quantum many-body systems a new phase of matter, the
so-called many-body localization, emerges across the whole spectrum. This transition is …