Quantum atomic and molecular gases are flexible systems for studies of fundamental many-
body physics. They have traditionally been produced in harmonic electromagnetic traps and …

This review gives a pedagogical introduction to the eigenstate thermalization hypothesis
(ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first …

This Colloquium gives an overview of recent theoretical and experimental progress in the
area of nonequilibrium dynamics of isolated quantum systems. There is particularly a focus …

Understanding relaxation processes is an important unsolved problem in many areas of
physics. A key challenge is the scarcity of experimental tools for the characterization of …

We establish some general dynamical properties of quantum many-body systems that are
subject to a high-frequency periodic driving. We prove that such systems have a …

The study of nonequilibrium phenomena in correlated lattice systems has developed into
one of the most active and exciting branches of condensed matter physics. This research …

Understanding the dynamics of isolated quantum many-body systems is a central open
problem at the intersection between statistical physics and quantum physics. Despite …

We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

We formulate a dynamical real space renormalization group (RG) approach to describe the
time evolution of a random spin-1/2 chain, or interacting fermions, initialized in a state with …

Phase transitions are ubiquitous in our three-dimensional world. By contrast, most
conventional transitions do not occur in infinite uniform low-dimensional systems because of …