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The Ryu-Takayanagi conjecture predicts a holographic dual of the entanglement entropy of a CFT. It proposes that the entanglement entropy is given by the area of the minimal surface in the dual spacetime. In the semi-classical limit, this…

高能物理 - 理论 · 物理学 2022-07-19 Jun Tsujimura , Yasusada Nambu

In holographic duality, the entanglement entropy of a boundary region is proposed to be dual to the area of an extremal codimension-2 surface that is homologous to the boundary region, known as the Hubeny-Rangamani-Takayanagi (HRT) surface.…

高能物理 - 理论 · 物理学 2018-12-27 Yiming Chen , Xi Dong , Aitor Lewkowycz , Xiao-Liang Qi

The Entanglement contour function quantifies the contribution from each degree of freedom in a region $\mathcal{A}$ to the entanglement entropy $S_{\mathcal{A}}$. Recently in \cite{Wen:2018whg} the author gave two proposals for the…

高能物理 - 理论 · 物理学 2020-05-20 Qiang Wen

The Ryu-Takayanagi conjecture provides a holographic description for the entanglement entropy for the strongly coupled holographic CFTs in the semi-classical limit. It proposes that the entanglement entropy is given by the area of the…

高能物理 - 理论 · 物理学 2022-07-19 Jun Tsujimura

Tensor networks provide a natural framework for exploring holographic duality because they obey entanglement area laws. They have been used to construct explicit toy models realizing many interesting structural features of the AdS/CFT…

高能物理 - 理论 · 物理学 2016-11-07 Patrick Hayden , Sepehr Nezami , Xiao-Liang Qi , Nathaniel Thomas , Michael Walter , Zhao Yang

The Ryu-Takayanagi formula implies many general properties of entanglement entropies in holographic theories. We review the known properties, such as continuity, strong subadditivity, and monogamy of mutual information, and fill in gaps in…

高能物理 - 理论 · 物理学 2015-06-18 Matthew Headrick

The Ryu-Takayanagi conjecture establishes a remarkable connection between quantum systems and geometry. Specifically, it relates the entanglement entropy to minimal surfaces within the setting of AdS/CFT correspondence. This Letter shows…

强关联电子 · 物理学 2017-03-14 Stefan Kehrein

In Conformal Field Theories with a gravitational AdS dual it is possible to calculate the entanglement entropy of a region $A$ holographically by using the Ryu-Takayanagi formula. In this work we consider systems that are in a pure state…

高能物理 - 理论 · 物理学 2015-07-06 Stefano Giusto , Rodolfo Russo

We propose a framework for preparing quantum states with a holographic entanglement structure, in the sense that the entanglement entropies are governed by minimal surfaces in a chosen bulk geometry. We refer to such entropies as…

量子物理 · 物理学 2026-01-30 Jonathan Jeffrey , Lucien Gandarias , Monika Schleier-Smith , Brian Swingle

The Ryu-Takayanagi and covariant Hubeny-Rangamani-Takayanagi proposals relate entanglement entropy in CFTs with holographic duals to the areas of minimal or extremal surfaces in the bulk geometry. We show how, in three dimensional pure…

高能物理 - 理论 · 物理学 2015-06-23 Henry Maxfield

We derive a generalized version of the Ryu-Takayanagi formula for the entanglement entropy in arbitrary diffeomorphism invariant field theories. We use a recent framework which expresses the measurable quantities of a quantum theory as a…

高能物理 - 理论 · 物理学 2025-08-21 Artem Averin

We use the formalism of geodesic Witten diagrams to study the holographic realization of the conformal block expansion for entanglement entropy of two disjoint intervals. The agreement between the Ryu-Takayanagi formula and the identity…

高能物理 - 理论 · 物理学 2019-07-24 Andrea Prudenziati

We present a constructive algorithm for the determination of Ryu-Takayanagi surfaces in AdS3/CFT2 which exploits previously noted connections between holographic entanglement entropy and max-flow/min-cut. We then characterize its complexity…

高能物理 - 理论 · 物理学 2016-11-23 Ning Bao , Aidan Chatwin-Davies

The volume of the region inside the bulk Ryu-Takayanagi surface is a codimension-one object, and a natural generalization of holographic complexity to the case of subregions in the boundary QFT. We focus on time-independent geometries, and…

高能物理 - 理论 · 物理学 2016-12-21 Omer Ben-Ami , Dean Carmi

In this article we investigate aspects of entanglement entropy and mutual information in a large-N strongly coupled noncommutative gauge theory, both at zero and at finite temperature. Using the gauge-gravity duality and the Ryu-Takayanagi…

高能物理 - 理论 · 物理学 2014-01-29 Willy Fischler , Arnab Kundu , Sandipan Kundu

The Renyi entropies and entanglement entropy of 1+1 CFTs with gravity duals can be computed by explicit construction of the bulk spacetimes dual to branched covers of the boundary geometry. At the classical level in the bulk this has…

高能物理 - 理论 · 物理学 2013-12-16 Taylor Barrella , Xi Dong , Sean A. Hartnoll , Victoria L. Martin

We use the holographic methods to calculate the entanglement entropy for field theories modified by $T\bar{T}$ insertion. Based on the available holographic proposals, this calculation reduces to the holographic computations in AdS with…

高能物理 - 理论 · 物理学 2022-01-26 Kuroush Allameh , Amin Faraji Astaneh , Alireza Hassanzadeh

When a spacetime has boundaries, the entangling surface does not have to be necessarily compact and it may have boundaries as well. Then there appear a new, boundary, contribution to the entanglement entropy due to the intersection of the…

高能物理 - 理论 · 物理学 2017-06-07 Amin Faraji Astaneh , Clement Berthiere , Dmitri Fursaev , Sergey N. Solodukhin

We study shape-deformations of the entanglement entropy and the modular Hamiltonian for an arbitrary subregion and state (with a smooth dual geometry) in a holographic conformal field theory. More precisely, we study a double-deformation…

高能物理 - 理论 · 物理学 2018-07-04 Aitor Lewkowycz , Onkar Parrikar

We study a class of quantum states involving multiple entangled CFTs in AdS$_3$/CFT$_2$, associated with multi-boundary black hole geometries, and demonstrate that the Ryu-Takayanagi (RT) formula for entanglement entropy can be derived…

高能物理 - 理论 · 物理学 2026-01-01 Ning Bao , Hao Geng , Yikun Jiang
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