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We study universal features in the shape dependence of entanglement entropy in the vacuum state of a conformal field theory (CFT) on $\mathbb{R}^{1,d-1}$. We consider the entanglement entropy across a deformed planar or spherical entangling…

High Energy Physics - Theory · Physics 2016-04-22 Thomas Faulkner , Robert G. Leigh , Onkar Parrikar

After a brief introduction to the concept of entanglement in quantum systems, I apply these ideas to many-body systems and show that the von Neumann entropy is an effective way of characterising the entanglement between the degrees of…

Statistical Mechanics · Physics 2009-11-13 John Cardy

A class of (2+1)-dimensional quantum many body system characterized by an anisotropic scaling symmetry (Lifshitz symmetry) near their quantum critical point can be described by a (3+1)-dimensional dual gravity theory with negative…

High Energy Physics - Theory · Physics 2015-05-14 Somdeb Chakraborty , Parijat Dey , Sourav Karar , Shibaji Roy

We consider the entanglement entropy in the dS/CFT correspondence.In Einstein gravity on de Sitter spacetime we propose the holographic entanglement entropy as the analytic continuation of the extremal surface in Euclidean anti-de Sitter…

High Energy Physics - Theory · Physics 2015-04-29 Yoshiki Sato

In analogy to the first law of thermodynamics, the increase in entanglement entropy $\delta S$ of a conformal field theory (CFT) is proportional to the increase in energy, $\delta E$, of the subsystem divided by an effective entanglement…

High Energy Physics - Theory · Physics 2016-07-13 G. C. Levine , B. Caravan

We investigate the dynamics of the ground state entanglement entropy for a discretized scalar field propagating within the Oppenheimer-Snyder collapse metric. Starting from a well-controlled initial configuration, we follow the system as it…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Alessio Belfiglio , Orlando Luongo , Stefano Mancini , Sebastiano Tomasi

Significant work has gone into determining the minimal set of entropy inequalities that determine the holographic entropy cone. Holographic systems with three or more parties have been shown to obey additional inequalities that generic…

High Energy Physics - Theory · Physics 2015-09-15 Emory Brown , Ning Bao , Sepehr Nezami

We study the structure and dynamics of entanglement in CFTs and black holes. We use a local entanglement measure, the entanglement contour, which is a spatial density function for von Neumann entropy with some additional properties. The…

High Energy Physics - Theory · Physics 2022-03-09 Andrew Rolph

Entanglement entropy for a spatial partition of a quantum system is studied in theories which admit a dual description in terms of the anti-de Sitter (AdS) gravity one dimension higher. A general proof of the holographic formula which…

High Energy Physics - Theory · Physics 2010-02-03 Dmitri V. Fursaev

We study the holographic entanglement entropy of deformed entangling regions in three-dimensional CFTs dual to Einstein-AdS gravity, using a renormalization scheme based on the addition of extrinsic counterterms. In this prescription, when…

High Energy Physics - Theory · Physics 2020-10-28 Giorgos Anastasiou , Javier Moreno , Rodrigo Olea , David Rivera-Betancour

The entanglement entropy of an annulus is examined in a three-dimensional system with or without a gap. For a free massive scalar field theory, we numerically calculate the mutual information across an annulus. We also study the holographic…

High Energy Physics - Theory · Physics 2015-05-20 Yuki Nakaguchi , Tatsuma Nishioka

In this work we study a dissipative field theory where the dissipation process is manifestly related to dynamical entanglement and put it in the holographic context. Such endeavour is realized by further development of a canonical approach…

High Energy Physics - Theory · Physics 2018-02-12 M. Botta Cantcheff , Alexandre L. Gadelha , Dáfni F. Z. Marchioro , Daniel Luiz Nedel

Recent work has shown that entanglement and the structure of spacetime are intimately related. One way to investigate this is to begin with an entanglement entropy in a conformal field theory (CFT) and use the AdS/CFT correspondence to…

High Energy Physics - Theory · Physics 2021-01-13 Ashton Lowenstein , Avik Chakraborty

The holographic quantum entanglement entropy for an infinite strip region of the boundary for the field theory dual to charged black holes in ${\cal A}dS_{3+1}$ is investigated. In this framework we elucidate the low and high temperature…

High Energy Physics - Theory · Physics 2016-09-21 Pankaj Chaturvedi , Vinay Malvimat , Gautam Sengupta

In order to study the pseudo entropy of time-like subregions holographically, the previous smooth space-like extremal surface was recently generalized to mix space-like and time-like segments and the area becomes complex value. This paper…

High Energy Physics - Theory · Physics 2023-04-06 Ze Li , Zi-Qing Xiao , Run-Qiu Yang

We study the phase transition in the holographic entanglement entropy for various confining models. This transition occurs for the entanglement entropy of a strip at a critical value of the strip width. Our main interest is to examine the…

High Energy Physics - Theory · Physics 2012-05-16 Aitor Lewkowycz

We study one-loop bulk entanglement entropy in even spacetime dimensions using the heat kernel method, which captures the universal piece of entanglement entropy, a logarithmically divergent term in even dimensions. In four dimensions, we…

High Energy Physics - Theory · Physics 2021-07-21 Zhong-Ying Fan

We consider a quantum junction described by a 1+1-dimensional boundary conformal field theory (BCFT). Our analysis focuses on correlations emerging at finite temperature, achieved through the computation of entanglement measures. Our…

High Energy Physics - Theory · Physics 2024-05-28 Luca Capizzi , Andrei Rotaru

Entanglement entropy of holographic CFTs is expected to play a crucial role in the reconstruction of semiclassical bulk gravity. We consider the entanglement entropy of spherical regions of vacuum, which is known to contain universal…

High Energy Physics - Theory · Physics 2015-11-10 Felix M. Haehl

In this paper, I calculate the large $N$ limit of marginal $O(N)$ models with non-polynomial potentials in arbitrary odd dimensions $d$. This results in a new class of interacting pure conformal field theories (CFTs) in $d=3+4n$ for any $n…

High Energy Physics - Theory · Physics 2022-11-09 Seth Grable
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