Holographic heat engines, entanglement entropy, and renormalization group flow

Johnson, Clifford V.; Rosso, Felipe

doi:10.1088/1361-6382/aaf1f1

Cited by 47 publications

(48 citation statements)

References 63 publications

(198 reference statements)

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“…In particular, phase transitions of black holes in a variety of backgrounds, such as Anti de Sitter (AdS) space-time have been actively pursued, purely from gravity point of view and also with holographic motivations in mind [1]- [9]. More recently, treating the cosmological constant as a dynamical thermodynamical variable (pressure), an extended phase thermodynamics has been proposed, where the first law of black hole mechanics gets modified by a new pdV term [10]- [21]. Study of PV critical behavior of various black holes confirms the existence of an exact map of black hole small/large phase transitions to the Van der Waals liquid/gas system [22]- [26].…”

Section: Introductionmentioning

confidence: 99%

Chaos in charged Gauss-Bonnet AdS black holes in extended phase space

Mahish

Bhamidipati

2019

Phys. Rev. D

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We study the onset of chaos due to temporal and spatially periodic perturbations in charged Gauss-Bonnet AdS black holes in extended thermodynamic phase space, by analyzing the zeros of the appropriate Melnikov functions. Temporal perturbations coming from a thermal quench in the unstable spinodal region of P-V diagram, may lead to chaos, when a certain perturbation parameter γ saturates a critical value, involving the Gauss-Bonnet coupling α and the black hole charge Q. A general condition following from the equation of state is found, which can rule out the existence of chaos in any black hole. Using this condition, we find that the presence of charge is necessary for chaos under temporal perturbations. In particular, chaos is absent in neutral Gauss-Bonnet and Lovelock black holes in general dimensions. Chaotic behavior continues to exist under spatial perturbations, irrespective of whether the black hole carries charge or not. 1 sm19@iitbbs.ac.in 2 chandrasekhar@iitbbs.ac.in 1 arXiv:1902.08932v3 [hep-th]

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Section: Introductionmentioning

confidence: 99%

Chaos in charged Gauss-Bonnet AdS black holes in extended phase space

Mahish

Bhamidipati

2019

Phys. Rev. D

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“…Having the form of U (S, V ) explicitly (22) means that we can use the exact formula (19) to deduce some important features of our engine. We can write…”

Section: Kerr Black Hole Ottomentioning

confidence: 99%

Holographic heat engines as quantum heat engines

Johnson

2020

Class. Quantum Grav.

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Certain solutions of Einstein's equations in anti-de Sitter spacetime can be engineered, using extended gravitational thermodynamics, to yield "holographic heat engines", devices that turn heat into useful mechanical work. On the other hand, there are constructions (both experimental and theoretical) where a series of operations is performed on a small quantum system, defining what are known as "quantum heat engines". We propose that certain holographic heat engines can be considered models of quantum heat engines, and the possible fruitfulness of this connection is discussed. Motivated by features of quantum heat engines that take a quantum system through analogues of certain classic thermodynamic cycles, some black hole Otto and Diesel cycles are presented and explored for the first time. In the expected regime of overlap, our Otto efficiency formulae are of the form exhibited by quantum and classical heat engines. arXiv:1905.09399v1 [hep-th]

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“…For instance, in Ref. [83] the CHM mapping was used in order to establish a concrete connection between extended black hole thermodynamics (see Ref. [84] for a review) and renormalization group flows in the boundary field theory.…”

Section: Final Remarksmentioning

confidence: 99%

Localized thermal states and negative energy

Rosso

2019

J. High Energ. Phys.

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We construct localized states defined in a ball or the half-space of a conformal field theory (CFT) in Minkowski that are thermal with respect to the local modular flow. We compute their energy density at arbitrary temperature for a variety of CFTs, and find values for which it is negative and divergent at the boundary. Despite this singular behavior we show that the energy measured by an observer is consistent with the bounds present in the literature. For holographic CFTs these states are captured by hyperbolic black holes in anti-de Sitter, where the negative energy in field theory amounts to the well known negative mass of the black hole. As a byproduct, we show that the Casini-Huerta-Myers proof of the Ryu-Takayangi holographic entanglement formula for the vacuum reduced to a ball can be naturally extended to include half-space regions.

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Holographic heat engines, entanglement entropy, and renormalization group flow

Cited by 47 publications

References 63 publications

Chaos in charged Gauss-Bonnet AdS black holes in extended phase space

Chaos in charged Gauss-Bonnet AdS black holes in extended phase space

Holographic heat engines as quantum heat engines

Localized thermal states and negative energy

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