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The entanglement entropy of the integer Quantum Hall states satisfies the area law for smooth domains with a vanishing topological term. In this paper we consider polygonal domains for which the area law acquires a constant term that only…

Strongly Correlated Electrons · Physics 2011-01-17 Ivan D. Rodriguez , German Sierra

We investigate the validity of the generalized second law of thermodynamics, applying Barrow entropy for the horizon entropy. The former arises from the fact that the black-hole surface may be deformed due to quantum-gravitational effects,…

General Relativity and Quantum Cosmology · Physics 2021-09-16 Emmanuel N. Saridakis , Spyros Basilakos

We investigate the leading area-law contribution to entanglement entropy in a system described by a general Lagrangian with O(2) symmetry containing first- and second-order time derivatives, namely breaking the Lorentz-invariance. We…

Quantum Gases · Physics 2020-07-08 Ivan Morera , Irénée Frérot , Artur Polls , Bruno Juliá-Díaz

Entanglement entropy is a valuable tool for characterizing the correlation structure of quantum field theories. When applied to gauge theories, subtleties arise which prevent the factorization of the Hilbert space underlying the notion of…

High Energy Physics - Theory · Physics 2017-05-18 Clement Delcamp , Bianca Dittrich , Aldo Riello

It was known long ago that quantum theory and general relativity are in sharp conflict in their foundations. Their fundamental inconsistencies render a consistent theory of quantum gravity the most challenging problem in physics. Here we…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Zeng-Bing Chen

We investigate a possible inner relation between the familiar Bekenstein-Hawking area-entropy relation and ours presented in a simple $D_0$ brane gas model on the basis of the kinematical holographic relation [KHR] in the Yang's quantized…

High Energy Physics - Theory · Physics 2010-06-16 Sho Tanaka

We summarize recent developments at the interface of quantum gravity and quantum information, and discuss applications to the quantum geometry of space in loop quantum gravity. In particular, we describe the notions of link entanglement,…

General Relativity and Quantum Cosmology · Physics 2023-08-23 Eugenio Bianchi , Etera R. Livine

In this short essay we review the arguments showing that black hole entropy is, at least in part, ``entanglement entropy", i.e., missing information contained in correlations between quantum field fluctuations inside and outside the event…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ted Jacobson

In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface. We consider the relevant perturbation of a three dimensional…

High Energy Physics - Theory · Physics 2018-03-14 Mostafa Ghasemi , Shahrokh Parvizi

We investigate the behavior of the entanglement entropy of a confining gauge theory near cosmological singularities using gauge/gravity duality. As expected, the coefficients of the UV divergent terms are given by simple geometric…

High Energy Physics - Theory · Physics 2017-07-26 Netta Engelhardt , Gary T. Horowitz

The concept of the generalized entanglement wedge was recently proposed by Bousso and Penington, which states that any bulk gravitational region $a$ possesses an associated generalized entanglement wedge $E(a)\supset a$ on a static Cauchy…

High Energy Physics - Theory · Physics 2024-08-16 Dong-Hui Du , Jia-Rui Sun

We enumerate the cases in 2d conformal field theory where the logarithm of the reduced density matrix (the entanglement or modular hamiltonian) may be written as an integral over the energy-momentum tensor times a local weight. These…

Statistical Mechanics · Physics 2017-01-19 John Cardy , Erik Tonni

We define a notion of target space entanglement entropy. Rather than partitioning the base space on which the theory is defined, we consider partitions of the target space. This is the physical case of interest for first-quantized theories,…

High Energy Physics - Theory · Physics 2023-10-26 Edward A. Mazenc , Daniel Ranard

In this paper I propose a branch point twist field approach to computing a temporal entropy, that is, an entanglement measure across different time regions, as opposed to the usual spacial measures. I discuss how the shift to…

High Energy Physics - Theory · Physics 2026-03-24 Olalla A. Castro-Alvaredo

We study holographic entanglement entropy in Gauss-Bonnet gravity following a global quench. It is known that in dynamical scenarios the entanglement entropy probe penetrates the apparent horizon. The goal of this work is to study how far…

High Energy Physics - Theory · Physics 2015-12-23 Elena Caceres , Manuel Sanchez , Julio Virrueta

The various entropy bounds that exist in the literature suggest that spacetime is fundamentally discrete, and hint at an underlying relationship between geometry and "information". The foundation of this relationship is yet to be uncovered,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 D. Rideout , S. Zohren

We note that the observable part of universe at a certain time t_P is necessarily limited, when there is a beginning of universe. We argue that an appropriate spacetime region associated with an observer from tI to t_P is the causal diamond…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Dongsu Bak

We conjecture that the total quantum entanglement of matter and vacuum in the universe tends to increase with time, like entropy, and that an effective force is associated with this tendency. We also suggest that gravity and dark energy are…

High Energy Physics - Theory · Physics 2015-09-16 Jae-Weon Lee , Hyeong-Chan Kim , Jungjai Lee

Physical interactions in quantum many-body systems are typically local: Individual constituents interact mainly with their few nearest neighbors. This locality of interactions is inherited by a decay of correlation functions, but also…

Quantum Physics · Physics 2011-01-06 J. Eisert , M. Cramer , M. B. Plenio

This paper investigates entanglement entropy in 3+1 dimensional Lorentzian covariant Loop Quantum Gravity (LQG). We compute the entanglement entropy for a spatial region from states dynamically generated by a spinfoam path integral that…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Muxin Han