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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

We study the fluctuation entropy for two-dimensional matter systems with an internal symmetry coupled to Jackiw--Teitelboim(JT) gravity joined to a Minkowski region. The fluctuation entropy is the Shannon entropy associated to probabilities…

High Energy Physics - Theory · Physics 2023-06-28 Alexey Milekhin , Amirhossein Tajdini

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…

High Energy Physics - Theory · Physics 2020-10-28 Xi Dong , Xiao-Liang Qi , Zhou Shangnan , Zhenbin Yang

The entanglement entropy of a massless scalar field in de Sitter space depends on multiple scales, such as the radius of the entangling surface, the Hubble constant and the UV cutoff. We perform a high-precision numerical calculation using…

High Energy Physics - Theory · Physics 2025-09-03 Konstantinos Boutivas , Dimitrios Katsinis , Georgios Pastras , Nikolaos Tetradis

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…

High Energy Physics - Theory · Physics 2015-07-06 Stefano Giusto , Rodolfo Russo

In the context of the AdS/CFT correspondence linearized field equations of vector and antisymmetric tensor gauge fields around an AdS background are obtained from the entanglement first law of CFTs. The holographic charged entanglement…

High Energy Physics - Theory · Physics 2019-10-02 K. Hasegawa , Y. Tanii

We present a method to compute the symmetry-resolved entanglement entropy of spherical regions in higher-dimensional conformal field theories. By employing Casini-Huerta-Myers mapping, we transform the entanglement problem into…

High Energy Physics - Theory · Physics 2025-10-14 Yuanzhu Huang , Yang Zhou

We apply modular flow -- entanglement generated dynamics -- to characterize quantum orders of ground state wavefunctions. In particular, we study the linear response of the entanglement entropy of a simply connected region with respect to…

Strongly Correlated Electrons · Physics 2023-01-04 Ruihua Fan

The topological entanglement entropy is used to measure long-range quantum correlations in the ground state of topological phases. Here we obtain closed form expressions for topological entropy of (2+1)- and (3+1)-dimensional loop gas…

Quantum Physics · Physics 2022-01-26 Jacob C. Bridgeman , Benjamin J. Brown , Samuel J. Elman

We identify various universal contributions to the entanglement entropy for massive free fields. As well as the `area' terms found in [1], we find other geometric contributions of the form discussed in [2]. We also compute analogous…

High Energy Physics - Theory · Physics 2015-06-11 Aitor Lewkowycz , Robert C. Myers , Michael Smolkin

We propose that the logarithmic term in the entanglement entropy computed in a conformal field theory for a $(d-2)$-dimensional round sphere in Minkowski spacetime is identical to the logarithmic term in the entanglement entropy of extreme…

High Energy Physics - Theory · Physics 2010-10-28 Sergey N. Solodukhin

In this paper we investigate the entropy of gravitational Chern-Simons terms for the horizon with non-vanishing extrinsic curvatures, or the holographic entanglement entropy for arbitrary entangling surface. In 3D we find no anomaly of…

High Energy Physics - Theory · Physics 2016-05-04 Wu-Zhong Guo , Rong-Xin Miao

Entanglement entropy in causal sets offers a fundamentally covariant characterisation of quantum field degrees of freedom. A known result in this context is that the degrees of freedom consist of a number of contributions that have…

High Energy Physics - Theory · Physics 2023-11-27 Théo Keseman , Hans J. Muneesamy , Yasaman K. Yazdi

In the expanding universe, two interacting fields are no longer in thermal contact when the interaction rate becomes smaller than the Hubble expansion rate. After decoupling, two subsystems are usually treated separately in accordance with…

High Energy Physics - Theory · Physics 2017-12-20 Yuichiro Nakai , Noburo Shiba , Masaki Yamada

A scalar field in the ground state, when partially hidden from observation by a spherical boundary, acquires entanglement entropy $S$ proportional to the area of the surface. This area law is well established in flat space, where it follows…

Quantum Physics · Physics 2013-10-01 Katja Ried

We study the entanglement of two disjoint intervals in the conformal field theory of the Luttinger liquid (free compactified boson). Tr\rho_A^n for any integer n is calculated as the four-point function of a particular type of twist fields…

High Energy Physics - Theory · Physics 2009-12-03 Pasquale Calabrese , John Cardy , Erik Tonni

The entanglement entropy between quantum fields inside and outside a black hole horizon is a promising candidate for the microscopic origin of black hole entropy. We show that the entanglement entropy may be defined in loop quantum gravity,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 William Donnelly

We compute the topological entanglement entropy for a large set of lattice models in $d$-dimensions. It is well known that many such quantum systems can be constructed out of lattice gauge models. For dimensionality higher than two, there…

Strongly Correlated Electrons · Physics 2020-04-22 J. P. Ibieta-Jimenez , M. Petrucci , L. N. Queiroz Xavier , P. Teotonio-Sobrinho

We use holography in order to study the entanglement entropy for a spherical entangling surface in a FRW background with an arbitrary time dependence of the scale factor. The calculation is done in various dimensions, allowing for nonzero…

High Energy Physics - Theory · Physics 2021-07-07 D. Giataganas , N. Tetradis

We introduce a new method permitting the analytical determination of entanglement entropy (and related quantities) between configurations of a quantum field, which is either free or in interaction with a classical source, at two distinct…

High Energy Physics - Theory · Physics 2021-10-13 Jerome Martin , Vincent Vennin