We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

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 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 …

This review summarizes recent advances in our understanding of anomalous transport in
spin chains, viewed through the lens of integrability. Numerical advances, based on tensor …

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

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 …

Anomalous finite-temperature transport has recently been observed in numerical studies of
various integrable models in one dimension; these models share the feature of being …