This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

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 …

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 …

We study the time evolution of the entanglement entropy of a one-dimensional
nonintegrable spin chain, starting from random nonentangled initial pure states. We use …

We survey the recent progress made in understanding nonequilibrium dynamics in closed
random systems. The emphasis is on the important role played by concepts from quantum …

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 …

Quarks cannot be observed as free particles in nature because they are confined into
baryons and mesons, as a result of the fact that the strong interaction between them …

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 …

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

The question whether Anderson insulators can persist to finite-strength interactions—a
scenario dubbed many-body localization—has recently received a great deal of interest. The …