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 …

Quantum coherence and quantum correlations are of fundamental and practical significance
for the development of quantum mechanics. They are also cornerstones of quantum …

We analyze the quantum trajectory dynamics of free fermions subject to continuous
monitoring. For weak monitoring, we identify a novel dynamical regime of subextensive …

The extension of many-body quantum dynamics to the nonunitary domain has led to a series
of exciting developments, including new out-of-equilibrium entanglement phases and phase …

An important and incompletely answered question is whether a closed quantum system of
many interacting particles can be localized by disorder. The time evolution of simple …

This Colloquium gives an overview of recent theoretical and experimental progress in the
area of nonequilibrium dynamics of isolated quantum systems. There is particularly a focus …

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 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 …

Closed quantum systems with quenched randomness exhibit many-body localized regimes
wherein they do not equilibrate, even though prepared with macroscopic amounts of energy …