RG flow of entanglement entropy to thermal entropy

Abstract

Utilizing the holographic technique, we investigate how the entanglement entropy evolves along the RG flow. After introducing a new generalized temperature which satisfies the thermodynamics-like law even in the IR regime, we find that the renormalized entropy and the generalized temperature in the IR limit approach the thermal entropy and thermodynamic temperature of a real thermal system. This result implies that the microscopic quantum entanglement entropy in the IR region leads to the thermodynamic relation up to small quantum corrections caused by the quantum entanglement near the entangling surface. Intriguingly, this IR feature of the entanglement entropy universally happens regardless of the detail of the dual field theory and the shape of the entangling surface. We check this IR universality with a most general geometry called the hyperscaling violation geometry which is dual to a relativistic non-conformal field theory.

22 pages, 3 figures

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Cited by in corpus (19)

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• Time Evolution of Entanglement Entropy in Holographic FLRW Cosmologies
• Holographic Approach to Entanglement Entropy in Disordered Systems
• Entanglement entropy and the first law at third order for boosted black branes
• Time-dependent quantum correlations in two-dimensional expanding spacetime
• Holographic time-dependent entanglement entropy in $p$-brane gas geometries
• Holographic information theoretic quantities for Lifshitz black hole
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• Quantum correlation in quark-gluon medium
• Holographic entanglement entropy probe on spontaneous symmetry breaking with vector order
• RG-2 flow and black hole entanglement entropy
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• Correlation functions in expanding universes
• Finite size effect on quantum correlations
• Hawking-Page phase transition, Page curve and islands in black holes