Holographic Entanglement Entropy at Finite Temperature

Abstract

Using a holographic proposal for the entanglement entropy we study its behavior in various supergravity backgrounds. We are particularly interested in the possibility of using the entanglement entropy as way to detect transitions induced by the presence horizons. We consider several geometries with horizons: the black hole in $Ad{S}_3$, nonextremal Dp-branes, dyonic black holes asymptotically to $Ad{S}_4$ and also Schwarzschild black holes in global $Ad{S}_p$ coordinates. Generically, we find that the entanglement entropy does not exhibit a transition, that is, one of the two possible configurations always dominates.

v3: 31 pp, ten figures, modified to match version accepted by IJMPA

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Cited by in corpus (29)

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• Confinement, Phase Transitions and non-Locality in the Entanglement Entropy
• Schwinger Effect and Entanglement Entropy in Confining Geometries
• Reflected Entropy and Entanglement Wedge Cross Section with the First Order Correction
• Large N Phase Transitions, Finite Volume, and Entanglement Entropy
• Backreacting p-wave Superconductors
• Holographic Entanglement Entropy of Multiple Strips
• Holographic Entanglement Entropy and Confinement
• Non-local observables at finite temperature in AdS/CFT
• A note on the extensivity of the holographic entanglement entropy
• Temporal Entanglement Entropy as a probe of Renormalization Group Flow
• Entanglement thermodynamics for non-conformal D-branes
• Extending the scope of holographic mutual information and chaotic behavior
• AdS/QCD, Entanglement Entropy and Critical Temperature
• Entanglement Entropy in a Non-Conformal Background
• Entanglement entropy in top-down models
• Bounding entanglement wedge cross sections
• Non-Conformality, Subregion Complexity and Meson Binding
• Realization of Holographic Entanglement Temperature for a Nearly-AdS boundary
• Entanglement Entropy and Thermal Phase Transitions from Curvature Singularities
• Quantum Entanglement and the Thermal Hadron
• Holographic entanglement entropy and thermodynamic instability of planar R-charged black holes
• 1+1D Hadrons Minimize their Biparton Renyi Free Energy
• Universal terms for holographic entanglement entropy in noncommutative Yang--Mills theory
• Left-Right Entanglement Entropy of Dp-branes
• Entanglement Entropy for D3-, M2- and M5-brane backgrounds