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Title: Entanglement density and gravitational thermodynamics
Authors: Bhattacharya, Jyotirmoy
Hubeny, Veronika E.
Rangamani, Mukund
Takayanagi, Tadashi  kyouindb  KAKEN_id  orcid (unconfirmed)
Author's alias: 高柳, 匡
Issue Date: 21-May-2015
Publisher: American Physical Society
Journal title: Physical Review D
Volume: 91
Issue: 10
Thesis number: 106009
Abstract: In an attempt to find a quasilocal measure of quantum entanglement, we introduce the concept of entanglement density in relativistic quantum theories. This density is defined in terms of infinitesimal variations of the region whose entanglement we monitor and in certain cases can be mapped to the variations of the generating points of the associated domain of dependence. We argue that strong subadditivity constrains the entanglement density to be positive semidefinite. Examining this density in the holographic context, we map its positivity to a statement of integrated null energy condition in the gravity dual. We further speculate that this may be mapped to a statement analogous to the second law of black hole thermodynamics for the extremal surface.
Rights: © 2015 American Physical Society
DOI(Published Version): 10.1103/PhysRevD.91.106009
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