Thermodynamics and holographic entanglement entropy for spherical black holes in 5D Gauss-Bonnet gravity

Sun, Yuan; Xu, Hao; Zhao, Liu

doi:10.1007/jhep09(2016)060

Cited by 27 publications

(29 citation statements)

References 97 publications

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“…In recent years, due to its above mentioned similarities with the Bekenstein-Hawking entropy, the entanglement entropy has been suggested as an efficient tool to probe even the black hole phase transitions and it has been explored in many different gravity theories [83][84][85][86][87][88][89][90][91][92][93]. Our analysis adds further weight on this growing belief as we found similar results in a more advanced phenomenological bottom-up holographic model.…”

Section: Holographic Entanglement Entropysupporting

confidence: 75%

Interplay between the holographic QCD phase diagram and entanglement entropy

Dudal

Mahapatra

2018

J. High Energ. Phys.

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In earlier work, we introduced a dynamical Einstein-Maxwell-dilaton model which mimics essential features of QCD (thermodynamics) below and above deconfinement. Although there are some subtle differences in the confining regime of our model as compared to the standard results, we do have a temperature dependent dual metric below T c as well, allowing for a richer and more realistic holographic modeling of the QCD phase structure. We now discuss how these features leave their imprints on the associated entanglement entropy when a strip region is introduced in the various phases. We uncover an even so rich structure in the entanglement entropy, consistent with the thermodynamical transitions, while again uncloaking some subtleties. Thanks to the temperature dependent confining geometry, we can present an original quantitative prediction for the phase diagram in terms of temperature and strip length, reporting a critical end point at the deconfinement temperature. We also generalize to the case with chemical potential. * david.dudal@kuleuven.be † mahapatrasub@nitrkl.ac.in

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Section: Holographic Entanglement Entropysupporting

confidence: 75%

Interplay between the holographic QCD phase diagram and entanglement entropy

Dudal

Mahapatra

2018

J. High Energ. Phys.

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“…[9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Another confirmation of this similarity appear when we employ non-local observables such as entanglement entropy, Wilson loop, two point correlation function and the complexity growth rate [26][27][28][29][30][31][32][33][34][35][36][37][38][39]. Meanwhile, these tools are used extensively in quantum information and to characterize phases and thermodynamical behavior [40][41][42][43][44][45][46][47][48][49].…”

mentioning

confidence: 83%

Anti-de-Sitter-Maxwell-Yang-Mills Black Holes Thermodynamics from Nonlocal Observables Point of View

Moumni

2019

Advances in High Energy Physics

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In this paper we analyze the thermodynamic properties of the Anti de Sitter black hole in the Einstein-Maxwell-Yang-Mills-AdS gravity (EMYM) via many approaches and in different thermodynamical ensembles (canonical/ grand canonical). First, we give a concise overview of this phase structure in the entropy-thermal diagram for fixed charges then we investigate this thermodynamical structure in fixed potentials ensemble. The Next relevant step is recalling the nonlocal observables such as holographic entanglement entropy and two-point correlation function to show that both observables exhibit a Van der Waals-like behavior in our numerical accuracy and just near the critical line as the case of the thermal entropy for fixed charges by checking Maxwell's equal area law and the critical exponent.In the light of the grand canonical ensemble, we also find a newly phase structure for such a black hole where the critical behavior disappears in the thermal picture as well as in the holographic one. * hasan.elmoumni@edu.uca.ma

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“…The Gauss-Bonnet AdS black solution was first obtained in [8]. After that, the thermodynamic properties and phase structure of a Gauss-Bonnet black hole in AdS space are discussed in various scenarios [40][41][42][43][44][45]. It is worth noting that the Gauss-Bonnet term is a topological invariant in four dimensions, and hence thermodynamics of a Gauss-Bonnet black hole is always analyzed in higher dimensions.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics and phase transition of a Gauss-Bonnet black hole in a cavity

2020

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Considering a canonical ensemble, in which the temperature and the charge on a wall of the cavity are fixed, we investigate the thermodynamics of a D-dimensional Gauss-Bonnet black hole in a finite spherical cavity. Moreover, it shows that the first law of thermodynamics is still satisfied. We then discuss the phase structure and transition in both five and six dimensions. Specifically, we show that there always exist two regions in the parameter space. In one region, the system possesses one single phase. However in the other region, there could coexist three phases and a van der Waals-like phase transition occurs. Finally, we find that there is a fairly close resemblance in thermodynamic properties and phase structure of a Gauss-Bonnet-Maxwell black hole, either in a cavity or in anti-de Sitter space.

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Thermodynamics and holographic entanglement entropy for spherical black holes in 5D Gauss-Bonnet gravity

Cited by 27 publications

References 97 publications

Interplay between the holographic QCD phase diagram and entanglement entropy

Interplay between the holographic QCD phase diagram and entanglement entropy

Anti-de-Sitter-Maxwell-Yang-Mills Black Holes Thermodynamics from Nonlocal Observables Point of View

Thermodynamics and phase transition of a Gauss-Bonnet black hole in a cavity

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