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Topological order is a new type order that beyond Landau's symmetry breaking theory. The topological entanglement entropy provides a universal quantum number to characterize the topological order in a system. The topological entanglement…

General Relativity and Quantum Cosmology · Physics 2021-04-02 Jingbo Wang

Topological order (long-range entanglement) is a new type of order that beyond Landau's symmetry breaking theory. This concept plays important roles in modern condensed matter physics. The topological entanglement entropy provides a…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Jingbo Wang

Black holes in 2+1 dimensions enjoy long range topological interactions similar to those of non-abelian anyon excitations in a topologically ordered medium. Using this observation, we compute the topological entanglement entropy of BTZ…

High Energy Physics - Theory · Physics 2015-06-16 Lauren McGough , Herman Verlinde

Using the AdS/CFT correspondence we calculate the explicit form of the entanglement entropy for the charged BTZ black hole. The leading term in the large temperature expansion of the entropy function for this black hole reproduces its…

General Relativity and Quantum Cosmology · Physics 2011-09-02 Alexis Larranaga

In this paper, we investigate the quantum scalar fields in massive BTZ black hole background. We study the entropy of the system by evaluating the entanglement entropy with the use of discretized approach. Specifically, we fit the results…

High Energy Physics - Theory · Physics 2020-01-06 Yu-Ting Zhou , Xiao-Mei Kuang

It is pointed out that the entanglement entropy of quantum fields near the horizon of a two-dimensional black hole can be derived by means of the conformal field theory. This can be done in a way analogous to the computation of the entropy…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri V. Fursaev

In the framework of thermal quantization of radial geodesics completely confined behind the horizons we calculate the entropy of BTZ black hole in agreement with the Bekenstein--Hawking relation. Particles in the BTZ black hole occupy the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. V. Kiselev

We study the quantum scalar fields in background of BTZ black hole spacetime. We calculate the entanglement entropy using the discretized model, which resembles a system of coupled harmonic oscillators. The leading term of the entropy…

High Energy Physics - Theory · Physics 2013-11-12 Dharm Veer Singh , Sanjay Siwach

We calculate the topological entanglement entropy in bilayer quantum Hall systems, dividing the set of quantum numbers into four parts. This topological entanglement entropy allows us to draw a phase diagram in the parameter space of layer…

Strongly Correlated Electrons · Physics 2015-06-16 Myung-Hoon Chung

Topological order (long-range entanglement) play important role in modern condensed matter physics. In this paper, we will show that the four dimensional black hole can also have topological order, by showing that the topological…

General Relativity and Quantum Cosmology · Physics 2023-12-06 Jingbo Wang

In this paper, we calculated the entropy of the BTZ black hole in the framework of loop quantum gravity. We got the result that the horizon degrees of freedom can be described by the 2D SO(1,1) punctured BF theory. Finally we got the area…

General Relativity and Quantum Cosmology · Physics 2014-01-15 Jingbo Wang

The entropy of a Ba\~nados, Teitelboim, and Zanelli black hole in topologically massive gravity had been given with the form inconsistent with the Bekenstein-Hawking entropy. In the paper, we provide a consistent statistical interpretation…

High Energy Physics - Theory · Physics 2013-12-12 Baocheng Zhang

In this note, we use entanglement entropy as a tool to explore the universal properties of CFTs dual to extremal BTZ black holes. We demonstrate that the entanglement entropies computed in the CFTs at the boundary of the extremal BTZ and…

High Energy Physics - Theory · Physics 2014-02-26 Pawel Caputa , Vishnu Jejjala , Hesam Soltanpanahi

We compute holographic timelike entanglement entropy for quantum BTZ black holes in a Karch-Randall braneworld scenario. These black holes are exact solutions of massive 3d gravity on the brane and are conjectured to be dual to thermal…

High Energy Physics - Theory · Physics 2025-09-03 Dibakar Roychowdhury

In this paper, we investigate the entanglement entropy for the generalized charged BTZ black hole through the $AdS_{3}/CFT_{2}$ correspondence. Using the holographic description of the entanglement entropy for the strip-subsystem in…

General Relativity and Quantum Cosmology · Physics 2016-05-03 Seyed Ali Hosseini Mansoori , Behrouz Mirza , Mahdi Davoudi Darareh , Sharooz Janbaz

The entropy of the BTZ black hole is computed in the Ponzano-Regge formulation of three-dimensional lattice gravity. It is seen that the correct semi-classical behaviour of entropy is reproduced by states that correspond to all possible…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Suneeta , R. K. Kaul , T. R. Govindarajan

We study the quantum scalar field in the background of BTZ black hole and evaluate the entanglement entropy of the non-vacuum states. The entropy is proportional to the area of event horizon for the ground state, but the area law is…

High Energy Physics - Theory · Physics 2014-11-17 Dharm Veer Singh

We present a microscopical explanation of the entropy of the BTZ black hole using discrete spin foam models of quantum gravity. The entropy of a black hole is given in geometrical terms which lead us to think that its statistical…

General Relativity and Quantum Cosmology · Physics 2008-12-18 J. Manuel Garcia-Islas

In this paper, we study the holographic quantum entanglement structure in the finite-temperature CFT state/planar BTZ black hole correspondence from the perspective of entanglement threads. Unlike previous studies based on bit threads,…

High Energy Physics - Theory · Physics 2025-09-15 Yi-Yu Lin , Dong-Yu Fang , Jie-Chen Jin , Chen-Ye Li

We semi-classically calculate the entropy of a scalar field in the background of the BTZ black hole, and derive the perimeter law of the entropy. The proper length from the horizon to the ultraviolet cutoff is independent of both the mass…

High Energy Physics - Theory · Physics 2009-10-30 Sung-Won Kim , Won T. Kim , Young-Jai Park , Hyeonjoon Shin
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