Entanglement entropy plays a variety of roles in quantum field theory, including the
connections between quantum states and gravitation through the holographic principle. This …

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

A bstract Recently Leutheusser and Liu [1, 2] identified an emergent algebra of Type III 1 in
the operator algebra of\(\mathcal {N}\)= 4 super Yang-Mills theory for large N. Here we …

A bstract We study modular Hamiltonians corresponding to the vacuum state for deformed
half-spaces in relativistic quantum field theories on\({\mathrm {\mathbb {R}}}^{1, d-1}\). We …

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 …

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 …

We formulate a universal characterization of the many-particle quantum entanglement in the
ground state of a topologically ordered two-dimensional medium with a mass gap. We …

This is an extended version of our short report [1], where a holographic interpretation of
entanglement entropy in conformal field theories is proposed from AdS/CFT …

With an aim towards understanding the time-dependence of entanglement entropy in
generic quantum field theories, we propose a covariant generalization of the holographic …