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 …

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 …

In the time evolution of isolated quantum systems out of equilibrium, local observables
generally relax to a long-time asymptotic value, governed by the expectation values …

Motivated by dynamical experiments on cold atomic gases, we develop a quantum kinetic
approach to weakly perturbed integrable models out of equilibrium. Using the exact matrix …

These are lecture notes for a short course given at the Les Houches Summer School
on``Integrability in Atomic and Condensed Matter Physics'', in summer 2018. Here, I …

Motivated by recent experiments, we study the relaxation dynamics and thermalization in the
one-dimensional Bose-Hubbard model induced by a global interaction quench. Specifically …

In the majority of analytical verifications of the conjecture that the Generalized Gibbs
Ensemble (GGE) describes the large time asymptotics of local observables in quantum …

We describe several results concerning global quantum quenches from states with short-
range correlations to quantum critical points whose low-energy properties are described by …