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 …

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

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 …

We consider the time evolution of observables in the transverse-field Ising chain after a
sudden quench of the magnetic field. We provide exact analytical results for the asymptotic …

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 …

We consider quantum quenches in integrable models. We argue that the behavior of local
observables at late times after the quench is given by their expectation values with respect to …

We consider the time evolution of order parameter correlation functions after a sudden
quantum quench of the magnetic field in the transverse field Ising chain. Using two novel …

We study quenches in integrable spin-1/2 chains in which we evolve the ground state of the
antiferromagnetic Ising model with the anisotropic Heisenberg Hamiltonian. For this …

Out-of-time-ordered correlators (OTOC) have been proposed to characterize quantum chaos
in generic systems. However, they can also show interesting behavior in integrable models …