Average Entropy of a Subsystem from its Average Tsallis Entropy

Details Average Entropy of a Subsystem from its Average Tsallis Entropy Average Entropy of a Subsystem from its Average Tsallis Entropy

2002-01-15

arxiv.org/abs/cond-mat/0201237v1

Phys. Rev. E 65, 046131 (2002)

Physics

Condensed Matter

Statistical Mechanics

Revtex, 6 pages, 2 figures. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.65.046131

In the nonextensive Tsallis scenario, Page's conjecture for the average entropy of a subsystem[Phys. Rev. Lett. {\bf 71}, 1291(1993)] as well as its demonstration are generalized, i.e., when a pure quantum system, whose Hilbert space dimension is $mn$, is considered, the average Tsallis entropy of an $m$-dimensional subsystem is obtained. This demonstration is expected to be useful to study systems where the usual entropy does not give satisfactory results.

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