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We apply artificial neural networks to the holographic inverse problem, reconstructing bulk geometry from boundary entanglement entropy by using the Ryu--Takayanagi area functional as a differentiable loss. Validated on the…

高能物理 - 理论 · 物理学 2026-04-08 Veselin G. Filev

Ryu and Takayanagi conjectured a formula for the entanglement (von Neumann) entropy of an arbitrary spatial region in an arbitrary holographic field theory. The von Neumann entropy is a special case of a more general class of entropies…

高能物理 - 理论 · 物理学 2013-01-04 Matthew Headrick

Assuming that the dominant contribution, to the entropy due to entanglement across a spherical hypersurface, comes from the near horizon degrees of freedom, we analytically derive the entropy of a free massless scalar field in Minkowski…

广义相对论与量子宇宙学 · 物理学 2015-08-19 Suman Ghosh

We compute entanglement entropy for free massive scalar fields in anti-de Sitter (AdS) space. The entangling surface is a minimal surface whose boundary is a sphere at the boundary of AdS. The entropy can be evaluated from the thermal free…

高能物理 - 理论 · 物理学 2017-11-22 Sotaro Sugishita

The duality between a $d$-dimensional conformal field theory with relevant deformation and a gravity theory on an asymptotically AdS$_{d+1}$ geometry, has become a suitable tool in the investigation of the emergence of gravity from quantum…

高能物理 - 理论 · 物理学 2018-04-24 Dongmin Jang , Yoonbai Kim , O-Kab Kwon , D. D. Tolla

In this paper we discuss behaviors of entanglement entropy between two interacting CFTs and its holographic interpretation using the AdS/CFT correspondence. We explicitly perform analytical calculations of entanglement entropy between two…

高能物理 - 理论 · 物理学 2015-06-19 Ali Mollabashi , Noburo Shiba , Tadashi Takayanagi

Recently, the reflected entropy is proposed in holographic approach to describe the entanglement of a bipartite quantum system in a mixed state, which is identified as the area of the reflected minimal surface inside the entanglement wedge.…

高能物理 - 理论 · 物理学 2022-02-08 Yi Ling , Peng Liu , Yuxuan Liu , Chao Niu , Zhuo-Yu Xian , Cheng-Yong Zhang

This dissertation reviews several recent advances at the intersection of quantum information and holography. In holography, properties of quantum systems admit a gravitational interpretation via the AdS/CFT correspondence. For holographic…

量子物理 · 物理学 2024-06-05 William Munizzi

We study entanglement entropy in gravity theory with quantum effects. A simplest model is a two dimensional Einstein-Hilbert action . We use an $n$-sheet manifold to obtain an area term of entanglement entropy by summing over all background…

高能物理 - 理论 · 物理学 2017-09-12 Chen-Te Ma

A remarkable yet mysterious property of black holes is that their entropy is proportional to the horizon area. This area law inspired the holographic principle, which was later realized concretely in gauge/gravity duality. In this context,…

高能物理 - 理论 · 物理学 2016-08-15 Xi Dong

In this paper we review the AdS/BCFT proposal of T. Takayanagi for holographic description of systems with boundaries, in particular, boundary conformal field theories (BCFTs). Motivated by better understanding of the proposed duality we…

高能物理 - 理论 · 物理学 2019-12-11 Arthur G. Cavalcanti , Dmitry Melnikov , Madson R. O. Silva

Entanglement entropy quantifies the amount of uncertainty of a quantum state. For quantum fields in curved space, entanglement entropy of the quantum field theory degrees of freedom is well-defined for a fixed background geometry. In this…

高能物理 - 理论 · 物理学 2020-10-28 Xi Dong , Xiao-Liang Qi , Zhou Shangnan , Zhenbin Yang

For quantum gravity states associated to open spin network graphs, we study how the entanglement entropy of the boundary degrees of freedom (spins on open edges) is affected by the bulk data, specifically by its combinatorial structure and…

高能物理 - 理论 · 物理学 2022-03-14 Goffredo Chirco , Eugenia Colafranceschi , Daniele Oriti

We propose a holographic entanglement entropy prescription for general states and regions in two models of holography beyond AdS/CFT known as flat$_3$/BMSFT and (W)AdS$_3$/WCFT. Flat$_3$/BMSFT is a candidate of holography for asymptotically…

高能物理 - 理论 · 物理学 2020-12-15 Luis Apolo , Hongliang Jiang , Wei Song , Yuan Zhong

We study holographic entanglement entropy of non-local field theories both at extremality and finite temperature. The gravity duals, constructed in arXiv:1208.3469 [hep-th], are characterized by a parameter $w$. Both the zero temperature…

高能物理 - 理论 · 物理学 2014-06-18 Da-Wei Pang

The entanglement entropy of three-dimensional conformal field theories contains a universal contribution coming from corners in the entangling surface. We study these contributions in a holographic framework and, in particular, we consider…

高能物理 - 理论 · 物理学 2015-09-30 Pablo Bueno , Robert C. Myers

We study entanglement entropy (EE) in conformal field theories (CFTs) in Minkowski space with a planar boundary or with a planar defect of any codimension. In any such boundary CFT (BCFT) or defect CFT (DCFT), we consider the reduced…

高能物理 - 理论 · 物理学 2013-11-27 Kristan Jensen , Andy O'Bannon

We consider the holographic entanglement entropy of $(d+2)$-dimensional semi-local quantum liquids, for which the dual gravity background in the deep interior is $AdS_{2}\times\mathbb{R}^{d}$ multiplied by a warp factor which depends on the…

高能物理 - 理论 · 物理学 2015-06-17 Johanna Erdmenger , Da-Wei Pang , Hansjörg Zeller

In recent years, the holographic duality between $T\bar{T}$-deformed conformal field theory (CFT) and Anti-de Sitter (AdS) spacetime with finite radial cutoff has received significant attention. The study of $T\bar{T}$ deformation within…

高能物理 - 理论 · 物理学 2025-07-10 Jing-Cheng Chang , Song He , Yu-Xiao Liu , Long Zhao

Renormalized entanglement entropy can be defined using the replica trick for any choice of renormalization scheme; renormalized entanglement entropy in holographic settings is expressed in terms of renormalized areas of extremal surfaces.…

高能物理 - 理论 · 物理学 2021-12-28 Marika Taylor , Linus Too