Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
A bstract We propose that holographic entanglement entropy can be calculated at arbitrary
orders in the bulk Planck constant using the concept of a “quantum extremal surface”: a …
orders in the bulk Planck constant using the concept of a “quantum extremal surface”: a …
Lectures on entanglement in quantum field theory
These notes grew from a series of lectures given by the authors during the last decade. They
will be published in the proceedings of TASI 2021. After a brief introduction to quantum …
will be published in the proceedings of TASI 2021. After a brief introduction to quantum …
Aspects of capacity of entanglement
Many quantum information theoretic quantities are similar to and/or inspired by
thermodynamic quantities, with entanglement entropy being a well-known example. In this …
thermodynamic quantities, with entanglement entropy being a well-known example. In this …
Entanglement entropy: a perturbative calculation
A bstract We provide a framework for a perturbative evaluation of the reduced density matrix.
The method is based on a path integral in the analytically continued spacetime. It suggests …
The method is based on a path integral in the analytically continued spacetime. It suggests …
Entanglement entropy for relevant and geometric perturbations
A bstract We continue the study of entanglement entropy for a QFT through a perturbative
expansion of the path integral definition of the reduced density matrix. The universal …
expansion of the path integral definition of the reduced density matrix. The universal …
Bulk emergence and the RG flow of entanglement entropy
T Faulkner - Journal of High Energy Physics, 2015 - Springer
A bstract We further develop perturbative methods used to calculate entanglement entropy
(EE) away from an interacting CFT fixed point. At second order we find certain universal …
(EE) away from an interacting CFT fixed point. At second order we find certain universal …
Irreversibility in quantum field theories with boundaries
A bstract We study conformal field theories with boundaries, and their boundary
renormalization group (RG) flows, using methods from quantum information theory. Positivity …
renormalization group (RG) flows, using methods from quantum information theory. Positivity …
Universal corner entanglement from twist operators
A bstract The entanglement entropy in three-dimensional conformal field theories (CFTs)
receives a logarithmic contribution characterized by a regulator-independent function a (θ) …
receives a logarithmic contribution characterized by a regulator-independent function a (θ) …
Universality in the geometric dependence of Renyi entropy
A bstract We derive several new results for Rényi entropy, S n, across generic entangling
surfaces. We establish a perturbative expansion of the Rényi entropy, valid in generic …
surfaces. We establish a perturbative expansion of the Rényi entropy, valid in generic …
Relative entropy and the RG flow
A bstract We consider the relative entropy between vacuum states of two different theories: a
conformal field theory (CFT), and the CFT perturbed by a relevant operator. By restricting …
conformal field theory (CFT), and the CFT perturbed by a relevant operator. By restricting …