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For an evaporating black hole which is a radiation-black hole combined system, we express the entanglement entropy and the Page time in terms of the conformal time in the RST model. The entropy change of the black hole is nicely written in…

High Energy Physics - Theory · Physics 2014-09-17 Myungseok Eune , Yongwan Gim , Wontae Kim

The holographic entanglement entropy of an infinite strip subsystem on the asymptotic AdS boundary is used as a probe to study the thermodynamic instabilities of planar R-charged black holes (or their dual field theories). We focus on the…

High Energy Physics - Theory · Physics 2014-09-24 Xing Wu

Starting from metric of the general nonextreme stationary axisymmetric black hole in four-dimensional spacetime, both statistical-mechanical and thermodynamical entropies are studied. First, by means of the "brick wall" model in which the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jiliang Jing , Mu-Lin Yan

I review a new (and still tentative) approach to black hole thermodynamics that seeks to explain black hole entropy in terms of microscopic quantum gravitational boundary states induced on the black hole horizon.

General Relativity and Quantum Cosmology · Physics 2008-02-03 S. Carlip

We study Hofstadter bilayers, i.e. coupled hopping models on two-dimensional square lattices in a perpendicular magnetic field. Upon tracing out one of the layers, we find an explicit expression for the resulting entanglement spectrum in…

Statistical Mechanics · Physics 2013-05-13 John Schliemann

As a toy model of a gapped system, we investigate the entanglement entropy of a massive scalar field in 1+1 dimensions at nonzero temperature. In a small mass m and temperature T limit, we put upper and lower bounds on the two largest…

High Energy Physics - Theory · Physics 2013-05-30 Christopher P. Herzog , Michael Spillane

The study of black hole physics revealed a fundamental connection between thermodynamics, quantum mechanics, and gravity. Today, it is known that black holes are thermodynamical objects with well-defined temperature and entropy. Although…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Joao Lucas Miqueleto , Andre G. S. Landulfo

Heisenberg uncertainty principle describes a basic restriction on observer's ability of precisely predicting the measurement for a pair of non-commuting observables, and virtually is at the core of quantum mechanics. We herein aim to study…

Quantum Physics · Physics 2018-09-21 Dong Wang , Wei-Nan Shi , Ross D. Hoehn , Fei Ming , Wen-Yang Sun , Sabre Kais , Liu Ye

Entanglement entropy is a measure of quantum correlations between separate parts of a many-body system, which plays an important role in many areas of physics. Here we review recent work in which a relation between this quantity and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Israel Klich , Leonid Levitov

We present a coherent account of how the entanglement interpretation, thermofield dynamical description and the brick wall formulations (with the ground state correctly identified) fit into a connected and self-consistent explanation of…

General Relativity and Quantum Cosmology · Physics 2011-09-21 J. Robel Arenas , J. Manuel Tejeiro

Through the consideration of spherically symmetric gravitating systems consisting of perfect fluids with linear equation of state constrained to be in a finite volume, an account is given of the properties of entropy at conditions in which…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alessandro Pesci

We point out formal correspondences between thermodynamics and entanglement. By applying them to previous work, we show that entropy of entanglement is the unique measure of entanglement for pure states.

Quantum Physics · Physics 2009-10-30 Sandu Popescu , Daniel Rohrlich

We consider sets of states in conformal quantum mechanics associated to generators of time evolution whose orbits cover different regions of the time domain. States labelled by a continuous global time variable define the two-point…

High Energy Physics - Theory · Physics 2023-06-22 Michele Arzano , Alessandra D'Alise , Domenico Frattulillo

We study thermodynamic properties and the entanglement island of a black hole in asymptotically safe quantum gravity, analyzing key thermodynamic quantities such as the Hawking temperature, heat capacity, and entropy, as well as the…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Sobhan Kazempour , Sichun Sun , Chengye Yu

We introduce the concept of timelike entanglement entropy of Hawking radiation as a novel probe of the black hole information paradox. By analytically continuing black hole spacetimes to Euclidean signature, we define timelike correlations…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Yahya Ladghami , Francisco S. N. Lobo , Taoufik Ouali

We review aspects of the thermodynamics of black holes and in particular take into account the fact that the quantum entanglement between the degrees of freedom of a scalar field, traced inside the event horizon, can be the origin of black…

General Relativity and Quantum Cosmology · Physics 2016-07-28 Saurya Das , S. Shankaranarayanan , Sourav Sur

We study the extended thermodynamics, obtained by considering the cosmological constant as a thermodynamic variable, of STU black holes in 4-dimensions in the fixed charge ensemble. The associated phase structure is conjectured to be dual…

High Energy Physics - Theory · Physics 2018-09-25 Elena Caceres , Phuc H. Nguyen , Juan F. Pedraza

Entanglement entropy in topologically ordered matter phases has been computed extensively using various methods. In this paper, we study the entanglement entropy of topological phases in two-spaces from a new perspective---the perspective…

Strongly Correlated Electrons · Physics 2019-06-14 Yuting Hu , Yidun Wan

A deeper understanding of the thermal properties of black holes than we presently have depends to a large degree on obtaining a firmer grasp of the properties of the entropy. For such an understanding we must at least know the basic…

General Relativity and Quantum Cosmology · Physics 2012-08-27 James. W. York,

Entropy is one of the key thermodynamic variables reflecting changes in the state of matter. Unlike other thermodynamic variables, it is well-defined also for nonequilibrium steady states through its relation to information. Applying this…

Statistical Mechanics · Physics 2026-04-15 Haim Diamant , Gil Ariel
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