Entanglement thermodynamics
Abstract
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.
Cite
@article{arxiv.gr-qc/9802028,
title = {Entanglement thermodynamics},
author = {Shinji Mukohyama and Masafumi Seriu and Hideo Kodama},
journal= {arXiv preprint arXiv:gr-qc/9802028},
year = {2007}
}
Comments
Latex, 6 pages, Presented at 7th Workshop on General Relativity and Gravitation, Kyoto, Japan, 27-30 Oct 1997