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 …

This review is devoted to the problem of thermalization in a small isolated conglomerate of
interacting constituents. A variety of physically important systems of intensive current interest …

We analyze quantum dynamics of strongly interacting, kinetically constrained many-body
systems. Motivated by recent experiments demonstrating surprising long-lived, periodic …

We give a pedagogical introduction to the generalized hydrodynamic approach to
inhomogeneous quenches in integrable many-body quantum systems. We review recent …

A major open question in studies of nonequilibrium quantum dynamics is the identification of
the time scales involved in the relaxation process of isolated quantum systems that have …

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 …

The isolated one-dimensional Heisenberg model with static random magnetic fields has
become paradigmatic for the analysis of many-body localization. Here, we study the …

We analyze time evolution of spread complexity (SC) in an isolated interacting quantum
many-body system when it is subjected to a sudden quench. Characteristics features of the …

Quantum speed limits set an upper bound to the rate at which a quantum system can evolve,
and as such can be used to analyze the scrambling of information. To this end, we consider …

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 …