In recent years, the ability of cold atom experiments to explore condensed-matter-related
questions has dramatically progressed. Transport experiments, in particular, have expanded …

Many-body localization (MBL), the disorder-induced localization of interacting particles,
signals a breakdown of conventional thermodynamics because MBL systems do not …

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 …

An interacting quantum system that is subject to disorder may cease to thermalize owing to
localization of its constituents, thereby marking the breakdown of thermodynamics. The key …

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 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 …

The mobility edges (MEs) in energy that separate extended and localized states are a
central concept in understanding the localization physics. In one-dimensional (1D) …

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”) …

Cold atomic gases provide a remarkable testbed to study the physics of interacting many-
body quantum systems. Temperatures are necessarily nonzero, but cooling to the ultralow …

Quasicrystals are long-range ordered and yet nonperiodic. This interplay results in a wealth
of intriguing physical phenomena, such as the inheritance of topological properties from …