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 …

In these lecture notes, partly based on a course taught at the Karpacz Winter School in
March 2014, we explore the close connections between non-adiabatic response of a system …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

According to the second law of thermodynamics the total entropy of a system is increased
during almost any dynamical process. The positivity of the specific heat implies that the …

We study the coherent dynamics of a quantum many-body system subject to a time-periodic
driving. We argue that in many cases, destructive interference in time makes most of the …

We study the large deviation statistics of the intensive work done by globally changing a
control parameter in a thermally isolated quantum many-body system. We show that, upon …

We study heating dynamics in isolated quantum many-body systems driven periodically at
high frequency and large amplitude. Combining the high-frequency expansion for the …

A periodically driven quantum system, when coupled to a heat bath, relaxes to a non-
equilibrium asymptotic state. In the general situation, the retrieval of this asymptotic state …

We explore the dynamics of a tuneable box-trapped Bose gas under strong periodic forcing
in the presence of weak disorder. In absence of interparticle interactions, the interplay of the …

We show that a thermally isolated system driven across a quantum phase transition by a
noisy control field exhibits anti-Kibble-Zurek behavior, whereby slower driving results in …