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 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 …

Conformal field theory (CFT) has been extremely successful in describing large-scale
universal effects in one-dimensional (1D) systems at quantum critical points. Unfortunately …

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 revisit the out-of-equilibrium physics arising during the unitary evolution of a one-
dimensional XXZ spin chain initially prepared in a domain wall state| ψ 0⟩=|⋯↑↑↓↓⋯⟩ …

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 …

In one dimension, the area law and its implications for the approximability by matrix product
states are the key to efficient numerical simulations involving quantum states. Similarly, in …

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

The large-scale properties of homogeneous states after quantum quenches in integrable
systems have been successfully described by a semiclassical picture of moving …