Breakdown of the Equal Area Law for Holographic Entanglement Entropy

Abstract

We investigate a holographic version of Maxwell's equal area law analogous to that for the phase transition in the black hole temperature/black hole entropy plane of a charged AdS black hole. We consider proposed area laws for both the black hole temperature/holographic entanglement entropy plane and the black hole temperature/2-point correlation function plane. Despite recent claims to the contrary, we demonstrate numerically that neither proposal is valid. We argue that there is no physical reason to expect such a construction in these planes.

arXiv comment17 pages, 8 figures. v2: Added appendix and discussion

References in corpus (17)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• A Stress Tensor for Anti-de Sitter Gravity
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• P-V criticality of charged AdS black holes
• Black hole chemistry: thermodynamics with Lambda
• Relative Entropy and Holography
• Thermodynamical Property of Entanglement Entropy for Excited States
• Entanglement Temperature and Entanglement Entropy of Excited States
• Van der Waals phase transition in the framework of holography
• Phase transition of holographic entanglement entropy in massive gravity
• Holographic Van der Waals-like phase transition in the Gauss-Bonnet gravity
• Large N Phase Transitions, Finite Volume, and Entanglement Entropy
• Phase structure of the Born-Infeld-anti-de Sitter black holes probed by non-local observables
• A note on Maxwell's equal area law for black hole phase transition
• Thermodynamics and holographic entanglement entropy for spherical black holes in 5D Gauss-Bonnet gravity
• Revisiting van der Waals like behavior of f(R) AdS black holes via the two point correlation function
• An alternative perspective to observe the critical phenomena of dilaton AdS black holes

Cited by in corpus (8)

• Thermodynamics of AdS Black Holes: Central Charge Criticality
• Black Hole Chemistry: the first 15 years
• Multicritical Phase Transitions in Multiply Rotating Black Holes
• Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
• Breaking of universal nature of central charge criticality in $AdS$ black holes in Gauss-Bonnet Gravity
• Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole
• Thermodynamics of Barrow Einstein-power-Yang-Mills AdS black hole in the restricted phase space
• Phase transition structure and breaking of universal nature of central charge criticality in a Born-Infeld $AdS$ black hole