Floquet engineering, the control of quantum systems using periodic driving, is an old
concept in condensed matter physics dating back to ideas such as the inverse Faraday …

How do closed quantum many-body systems driven out of equilibrium eventually achieve
equilibration? And how do these systems thermalize, given that they comprise so many …

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 …

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

When a closed quantum system is driven periodically with period T, it approaches a periodic
state synchronized with the drive in which any local observable measured stroboscopically …

In these four lectures I describe basic ideas and methods applicable to both classical and
quantum systems displaying slow relaxation and non-equilibrium dynamics. The first half of …

This work is concerned with thermal quantum states of Hamiltonians on spin-and fermionic-
lattice systems with short-range interactions. We provide results leading to a local definition …

In the ongoing discussion on thermalization in closed quantum many-body systems, the
eigenstate thermalization hypothesis has recently been proposed as a universal concept …

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 …

One of the general mechanisms that give rise to the slow cooperative relaxation
characteristic of classical glasses is the presence of kinetic constraints in the dynamics. Here …