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

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

What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …

Classifying phases of matter is key to our understanding of many problems in physics. For
quantum-mechanical systems in particular, the task can be daunting due to the …

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 …

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 provide a derivation of holographic entanglement entropy for spherical entangling
surfaces. Our construction relies on conformally map** the boundary CFT to a hyperbolic …

We show that the Haldane phase of S= 1 chains is characterized by a double degeneracy of
the entanglement spectrum. The degeneracy is protected by a set of symmetries (either the …

We numerically study the measurement-driven quantum phase transition of Haar-random
quantum circuits in 1+ 1 dimensions. By analyzing the tripartite mutual information we are …