Entanglement thermodynamics

Details Entanglement thermodynamics Entanglement thermodynamics

1998-02-13

arxiv.org/abs/gr-qc/9802028v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 6 pages, Presented at 7th Workshop on General Relativity and Gravitation, Kyoto, Japan, 27-30 Oct 1997

Scientific paper

Entanglement entropy is a statistical entropy measuring information loss due to coarse-graining corresponding to a spatial division of a system. In this paper we construct a thermodynamics (entanglement thermodynamics) which includes the entanglement entropy as the entropy variable, for a massless scalar field in Minkowski, Schwarzschild and Reissner-Nordstr{\"o}m spacetimes to understand the statistical origin of black-hole thermodynamics. It is shown that the entanglement thermodynamics in Minkowski spacetime differs significantly from black-hole thermodynamics. On the contrary, the entanglement thermodynamics in Schwarzschild and Reissner-Nordstr{\"o}m spacetimes has close relevance to black-hole thermodynamics.

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