Entropy production is a key quantity in any finite-time thermodynamic process. It is intimately
tied with the fundamental laws of thermodynamics, embodying a tool to extend …

Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

This review gives a pedagogical introduction to the eigenstate thermalization hypothesis
(ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first …

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 study the dynamics of isolated interacting spin chains that are periodically driven by
sudden quenches. Using full exact diagonalization of finite chains, we show that these …

We construct a complete set of local integrals of motion that characterize the many-body
localized (MBL) phase. Our approach relies on the assumption that local perturbations act …

Quantum thermodynamics addresses the emergence of thermodynamic laws from quantum
mechanics. The viewpoint advocated is based on the intimate connection of quantum …

This Colloquium gives an overview of recent theoretical and experimental progress in the
area of nonequilibrium dynamics of isolated quantum systems. There is particularly a focus …

Recent numerical work by Bardarson, Pollmann, and Moore revealed a slow, logarithmic in
time, growth of the entanglement entropy for initial product states in a putative many-body …

Statistical mechanics is founded on the assumption that all accessible configurations of a
system are equally likely. This requires dynamics that explore all states over time, known as …