Since the achievement of quantum degeneracy in gases of chromium atoms in 2004, the
experimental investigation of ultracold gases made of highly magnetic atoms has …

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 …

Quantum thermodynamics is an emerging research field aiming to extend standard
thermodynamics and non-equilibrium statistical physics to ensembles of sizes well below …

We consider the nonequilibrium time evolution of piecewise homogeneous states in the XXZ
spin-1/2 chain, a paradigmatic example of an interacting integrable model. The initial state …

Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

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 review the dynamics after quantum quenches in integrable quantum spin chains. We
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …

The description of the non-equilibrium dynamics of isolated quantum many-body systems
within the framework of statistical mechanics is a fundamental open question. Conventional …

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 …

We overview the concept of dynamical phase transitions (DPTs) in isolated quantum
systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized …