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

The entanglement entropy has been historically studied by many authors in order to obtain
quantum mechanical interpretations of the gravitational entropy. The discovery of anti-de …

A comprehensive overview of holographic methods in quantum matter, written by pioneers
in the field. This book, written by pioneers in the field, offers a comprehensive overview of …

A bstract We consider entanglement entropy in quantum field theories with a gravity dual. In
the gravity description, the leading order contribution comes from the area of a minimal …

As experiments are increasingly able to probe the quantum dynamics of systems with many
degrees of freedom, it is interesting to probe fundamental bounds on the dynamics of …

A bstract By combining the AdS/BCFT correspondence and the brane world holography, we
expect an equivalence relation between a boundary conformal field theory (BCFT) and a …

The discussions in § 2 and § 3 make it rather clear that while we have to evaluate a
sequence of functional integrals to compute the Rényi entropies, these are rather complex …

General scaling arguments, and the behavior of the thermal entropy density, are shown to
lead to an infrared metric holographically representing a compressible state with hidden …

A bstract We analyze various aspects of the recently proposed holographic theories with
general dynamical critical exponent z and hyperscaling violation exponent θ. We first find …

A bstract We introduce a “renormalized entanglement entropy” which is intrinsically UV finite
and is most sensitive to the degrees of freedom at the scale of the size R of the entangled …