Thermodynamics of Coherent States and Black Hole Entropy
Abstract
Entropy and temperature of a system in a coherent state are naturally defined on a base of a density matrix of the system. As an example, entropy and temperature are evaluated for coherent states of a harmonic oscillator and quantum field described by the Klein--Gordon--Fock equation with a source term. It is shown, in particular, that the temperature of the coherent oscillator in a ground state coincides with the effective temperature of a harmonic oscillator being in contact with a heat bath (Bloch formula) when the bath temperature tends to zero. The Bekenstein--Hawking entropy of a black hole can also be interpreted as an entropy of coherent states of a physical vacuum in the vicinity of a horizon surface.
Keywords
Cite
@article{arxiv.quant-ph/0104083,
title = {Thermodynamics of Coherent States and Black Hole Entropy},
author = {A. G. Bashkirov and A. D. Sukhanov},
journal= {arXiv preprint arXiv:quant-ph/0104083},
year = {2007}
}
Comments
LaTeX2e, 7 pages. Reported on Intern.School on Non-Extensive Thermodynamics and Physical Applications, NEXT2001, Sardinia, May 2001