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 …

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 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 …

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 give a pedagogical introduction to the generalized hydrodynamic approach to
inhomogeneous quenches in integrable many-body quantum systems. We review recent …

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 …

Quench dynamics is an active area of study encompassing condensed matter physics and
quantum information, with applications to cold-atomic gases and pump-probe spectroscopy …

We consider the reduced density matrix (RDM) ρ A (t) for a finite subsystem A after a global
quantum quench in the infinite transverse-field Ising chain. It has been recently shown that …

We consider the out-of-equilibrium dynamics generated by joining two domains with
arbitrary opposite magnetizations. We study the stationary state which emerges by the …

A quantum many-body system that is prepared in the ground state of an integrable
Hamiltonian does not directly thermalize after a sudden small parameter quench away from …