These are notes based on lectures given at the 2021 summer school on Fundamental
Problems in Statistical Physics XV. Their purpose is to give a very brief introduction to …

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 …

Entanglement and entropy are key concepts standing at the foundations of quantum and
statistical mechanics. Recently, the study of quantum quenches revealed that these …

Owing to its probabilistic nature, a measurement process in quantum mechanics produces a
distribution of possible outcomes. This distribution—or its Fourier transform known as full …

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 …

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

Rényi entropies are conceptually valuable and experimentally relevant generalizations of
the celebrated von Neumann entanglement entropy. After a quantum quench in a clean …

We give a pedagogical introduction to the methodology of the Quench Action, which is an
effective representation for the calculation of time-dependent expectation values of physical …

Inspired by classical results in integrable boundary quantum field theory, we propose a
definition of integrable initial states for quantum quenches in lattice models. They are …

We consider the class of dual-unitary quantum circuits in 1+ 1 dimensions and introduce a
notion of “solvable” matrix product states (MPSs), defined by a specific condition which …