The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

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 …

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 …

The quantum Mpemba effect is the counterintuitive nonequilibrium phenomenon wherein
the dynamic restoration of a broken symmetry occurs more rapidly when the initial state …

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 …

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 review recent progress in understanding the notion of locality in integrable quantum
lattice systems. The central concept concerns the so-called quasilocal conserved quantities …