The approach to thermal equilibrium, or thermalization, in isolated quantum systems is
among the most fundamental problems in statistical physics. Recent theoretical studies have …

We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

The generalized Gibbs ensemble (GGE) was introduced ten years ago to describe
observables in isolated integrable quantum systems after equilibration. Since then, the GGE …

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 …

In integrable many-particle systems, it is widely believed that the stationary state reached at
late times after a quantum quench can be described by a generalized Gibbs ensemble …

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 …

We review the imaginary time path integral approach to the quench dynamics of conformal
field theories. We show how this technique can be applied to the determination of the time …

The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

We review recent progress in understanding the notion of locality in integrable quantum
lattice systems. The central concept concerns the so-called quasilocal conserved quantities …

We extend beyond the Euler scales the hydrodynamic theory for quantum and classical
integrable models developed in recent years, accounting for diffusive dynamics and local …