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 …

Entanglement and entropy are key concepts standing at the foundations of quantum and
statistical mechanics. Recently, the study of quantum quenches revealed that these …

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 …

Owing to its probabilistic nature, a measurement process in quantum mechanics produces a
distribution of possible outcomes. This distribution—or its Fourier transform known as full …

The time evolution of the entanglement entropy in non-equilibrium quantum systems
provides crucial information about the structure of the time-dependent state. For quantum …

We give a pedagogical introduction to the methodology of the Quench Action, which is an
effective representation for the calculation of time-dependent expectation values of physical …

A bstract We consider the form factor bootstrap approach of integrable field theories to
derive matrix elements of composite branch-point twist fields associated with symmetry …

Rényi entropies are conceptually valuable and experimentally relevant generalizations of
the celebrated von Neumann entanglement entropy. After a quantum quench in a clean …