The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

This is a partly non-technical introduction to selected topics on tensor network methods,
based on several lectures and introductory seminars given on the subject. It should be a …

Statistical mechanics relies on the maximization of entropy in a system at thermal
equilibrium. However, an isolated quantum many-body system initialized in a pure state …

Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …

A bstract We use holography to study sensitive dependence on initial conditions in strongly
coupled field theories. Specifically, we mildly perturb a thermofield double state by adding a …

Quantum thermodynamics is an emerging research field aiming to extend standard
thermodynamics and non-equilibrium statistical physics to ensembles of sizes well below …

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

Entanglement is a key feature of many-body quantum systems. Measuring the entropy of
different partitions of a quantum system provides a way to probe its entanglement structure …

An interacting quantum system that is subject to disorder may cease to thermalize owing to
localization of its constituents, thereby marking the breakdown of thermodynamics. The key …

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 …