Entanglement entropy and the Ricci flow

Abstract

We analyze the Ricci flow of a noncompact metric that describes a two-dimensional black hole. We consider entanglement entropy of a 2d black hole which is due to the quantum correlations between two subsystems: one is inside and the other is outside the black hole horizon. It is demonstrated that the entanglement entropy is monotonic along the Ricci flow.

13 pages

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Cited by in corpus (12)

• A Covariant Holographic Entanglement Entropy Proposal
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• The Simplicial Ricci Tensor
• The a-theorem and entanglement entropy
• Energy, entropy and the Ricci flow
• Entanglement and Nonunitary Evolution
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