The appearance of the Planckian time τ Pl= ℏ/k BT is reviewed in both conventional and
unconventional metals. A pedagogical discussion of the various different timescales …

The approach to thermal equilibrium, or thermalization, in isolated quantum systems is
among the most fundamental problems in statistical physics. Recent theoretical studies have …

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 …

Classical thermodynamics is unrivalled in its range of applications and relevance to
everyday life. It enables a description of complex systems, made up of microscopic particles …

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 …

The lack of knowledge about the detailed many-particle motion on the microscopic scale is a
key issue in any theoretical description of a macroscopic experiment. For systems at or close …

Speed of state transitions in macroscopic systems is a crucial concept for foundations of
nonequilibrium statistical mechanics as well as various applications in quantum technology …

We review various bounds concerning out-of-equilibrium dynamics in few-level and many-
body quantum systems. We primarily focus on closed quantum systems but will also mention …

We review and extend, in a self-contained way, the mathematical foundations of numerical
simulation methods that are based on the use of random states. The power and versatility of …

Based on the view that thermal equilibrium should be characterized through macroscopic
observations, we develop a general theory about typicality of thermal equilibrium and the …