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 …

Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …

A bstract Bulk quantum fields are often said to contribute to the generalized entropy\(\frac
{A}{4 {G} _N}+{S} _ {\mathrm {bulk}}\) only at O (1). Nonetheless, in the context of …

A bstract We consider a gravity theory coupled to matter, where the matter has a higher-
dimensional holographic dual. In such a theory, finding quantum extremal surfaces becomes …

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 …

Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

We review the conformal field theory approach to entanglement entropy in 1+ 1 dimensions.
We show how to apply these methods to the calculation of the entanglement entropy of a …

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 study of open quantum systems–microscopic systems exhibiting quantum coherence
that are coupled to their environment–has become increasingly important in the past years …

We consider two dimensional CFT states that are produced by a gravitational path integral.
As a first case, we consider a state produced by Euclidean AdS2 evolution followed by flat …