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 …

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

We show that the dynamics resulting from preparing a one-dimensional quantum system in
the ground state of two decoupled parts, then joined together and left to evolve unitarily with …

We consider the nonequilibrium protocol where two semi-infinite gapped XXZ chains,
initially prepared in different equilibrium states, are suddenly joined together. At large times …

We provide a pedagogical review of the main ideas and results in non-equilibrium conformal
field theory and connected subjects. These concern the understanding of quantum transport …

We derive a dynamical equation that describes the exact time evolution in generic
(inhomogeneous) noninteracting spin-chain models. Assuming quasistationarity, we …