Quantum Work and Information Geometry of a Quantum Myers-Perry Black Hole

Abstract

In this paper, we will obtain quantum work for a quantum scale five dimensional Myers-Perry black hole. Unlike heat represented by Hawking radiation, the quantum work is represented by a unitary information preserving process, and becomes important for black holes only at small quantum scales. It will be observed that at such short distances, the quantum work will be corrected by non-perturbative quantum gravitational corrections. We will use the Jarzynski equality to obtain this quantum work modified by non-perturbative quantum gravitational corrections. These non-perturbative corrections will also modify the stability of a quantum Myers-Perry black hole. We will define a quantum corrected information geometry by incorporating the non-perturbative quantum corrections in the information geometry of a Myers-Perry black hole. We will use several different quantum corrected effective information metrics to analyze the stability of a quantum Myers-Perry black hole.

arXiv comment22, pages, 9 figures. Accepted for publication in JHEP

References in corpus (77)

• A nonequilibrium equality for free energy differences
• The World as a Hologram
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Thermodynamics of Spacetime: The Einstein Equation of State
• The holographic principle
• Average Entropy of a Subsystem
• The role of quantum information in thermodynamics --- a topical review
• Fluctuation theorems: Work is not an observable
• Quantum Fisher information matrix and multiparameter estimation
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• General Logarithmic Corrections to Black Hole Entropy
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Geometrothermodynamics
• Gauge/Gravity Duality and the Black Hole Interior
• Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures
• Universality of Quantum Entropy for Extreme Black Holes
• Quantum information cannot be completely hidden in correlations: implications for the black-hole information paradox
• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton black holes
• P - V Criticality of Logarithmic Corrected Dyonic Charged AdS Black Hole
• Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions
• Geometrothermodynamics of asymptotically anti - de Sitter black holes
• A new approach toward geometrical concept of black hole thermodynamics
• Nonperturbative black hole entropy and Kloosterman sums
• Microscopic analysis of Clausius-Duhem processes
• An Exact Black Hole Entropy Bound
• Massive charged BTZ black holes in asymptotically (a)dS spacetimes
• Statistical Entropy of a Stationary Dilaton Black Hole from Cardy Formula
• Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula
• Unitarity of black hole evaporation in final-state projection models
• P-V criticality of first-order entropy corrected AdS black holes in massive gravity
• Quantum gravity effects on Hořava-Lifshitz black hole
• Exponential corrections to black hole entropy
• Thermodynamic geometry for charged Gauss-Bonnet black holes in AdS spacetimes
• A Farey tale for N=4 dyons
• Holographic Principle and String Cosmology
• Holographic Principle in the Closed Universe : a Resolution with Negative Pressure Matter
• Thermodynamics of Black Hole Horizons and Kerr/CFT Correspondence
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Quantum Fluctuations of a BTZ Black Hole in Massive Gravity
• Evaporation of large black holes in AdS: coupling to the evaporon
• Thermodynamic geometry of a black hole surrounded by perfect fluid in Rastall theory
• Work statistics across a quantum phase transition
• Unravelling the role of coherence in the first law of quantum thermodynamics
• Logarithmic Corrections to $N\ge 2$ Black Hole Entropy
• Phase transition of charged Black Holes in Brans-Dicke theory through geometrical thermodynamics
• On the Existence of the Logarithmic Correction Term in Black Hole Entropy-Area Relation
• Classical and quantum gravity of brane black holes
• Real-time Correlators and Hidden Conformal Symmetry in Kerr/CFT Correspondence
• PV criticality of the second order quantum corrected Horava-Lifshitz black hole
• Phase transition of a charged AdS black hole with a global monopole through geometrical thermodynamics
• PV criticality of Achucarro-Ortiz black hole in the presence of higher order quantum and GUP corrections
• Work distributions on quantum fields
• Geometrothermodynamics as a singular conformal thermodynamic geometry
• Thermodynamics and Thermodynamic geometry of Park black hole
• Consequences of Thermal Fluctuations of Well-Known Black Holes in Modified Gravity
• Thermodynamic instability of doubly spinning black objects
• Quantum driving and work
• Thermodynamics of Large AdS Black Holes
• Quantum Fluctuations from Thermal Fluctuations in Jacobson Formalism
• Quantum gravity effects in Myers-Perry space-times
• The intrinsic curvature of thermodynamic potentials for black holes with critical points
• Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence
• Quantum corrections to a finite temperature BIon
• Information Geometry on the Space of Equilibrium States of Black Holes in Higher Derivative Theories
• Quantum Nature of Black Holes: Fast Scrambling versus Echoes
• Universal criticality of thermodynamic curvatures for charged AdS black holes
• Ultra-Spinning Gauged Supergravity Black Holes and their Kerr/CFT Correspondence
• Phase transition and thermodynamic geometry of $f(R)$ AdS black holes in the grand canonical ensemble
• The First Law of Quantum Field Thermodynamics
• Quantum Work Relations and Response Theory in $\mathcal{P}\mathcal{T}$-Symmetric Quantum Systems
• Stochastic Equations in Black Hole Backgrounds and Non-equilibrium Fluctuation Theorems
• A Note on Self-gravitating Radiation in AdS Spacetime
• Black hole thermodynamics from quantum gravity
• Non-Equilibrium Fluctuations of Black Hole Horizons
• Microscopic derivation of the Schwarzschild black hole entropy
• Perturbative Construction of Stationary Randall-Sundrum II Black Holes on a 5-Brane

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• Quantum Thermodynamics of an ${\alpha }^{\prime }$-Corrected Reissner-Nordström Black Hole
• Quantum Thermodynamics of an M2-M5 Brane System
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• Thermodynamic geometry of static and rotating regular black holes in conformal massive gravity
• Thermodynamics and Joule-Thomson Expansion for Schwarzschild-AdS Black Holes with Cloud of Strings and Quintessential-like Fluid
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