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

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 …

We review the dynamics after quantum quenches in integrable quantum spin chains. We
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …

The description of the non-equilibrium dynamics of isolated quantum many-body systems
within the framework of statistical mechanics is a fundamental open question. Conventional …

Understanding relaxation processes is an important unsolved problem in many areas of
physics. A key challenge is the scarcity of experimental tools for the characterization of …

We review the imaginary time path integral approach to the quench dynamics of conformal
field theories. We show how this technique can be applied to the determination of the time …

The relaxation of isolated quantum many-body systems is a major unsolved problem
connecting statistical and quantum physics. Studying such relaxation processes remains a …

Understanding the dynamics of isolated quantum many-body systems is a central open
problem at the intersection between statistical physics and quantum physics. Despite …

We review the recent progress in the understanding of the relaxation of isolated near-
integrable quantum many-body systems. Focusing on prethermalization and universal …

Particle-wave duality enables the construction of interferometers for matter waves, which
complement optical interferometers in precision measurement devices. This requires the …