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.

17 pages, 8 figures. v2: Added appendix and discussion

References in corpus (2)

• Thermodynamical Property of Entanglement Entropy for Excited States
• Holographic Van der Waals-like phase transition in the Gauss-Bonnet gravity

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