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 …

Recent interest in aspects common to quantum information and condensed matter has
prompted a flurry of activity at the border of these disciplines that were far distant until a few …

Critical systems represent physical boundaries between different phases of matter and have
been intensely studied for their universality and rich physics. Yet, with the rise of non …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

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 carry out a systematic study of entanglement entropy in relativistic quantum field theory.
This is defined as the von Neumann entropy SA=− Tr ρ A logρ A corresponding to the …

We study the “entanglement spectrum”(a presentation of the Schmidt decomposition
analogous to a set of “energy levels”) of a many-body state, and compare the Moore-Read …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

In this paper, we first introduce the general methods to calculate the entanglement entropy
for free fields, within the Euclidean and the real-time formalisms. Then, we describe the …

A bstract Relative entropy between two states in the same Hilbert space is a fundamental
statistical measure of the distance between these states. Relative entropy is always positive …