Title: Quantum macrostates, equivalence of ensembles, and an H-theorem
Authors: De Roeck, Wojciech ×
Maes, Christian
Netocny, Karel #
Issue Date: Jul-2006
Publisher: Amer inst physics
Series Title: Journal of mathematical physics vol:47 issue:7 pages:1-16
Article number: 073303
Abstract: Before the thermodynamic limit, macroscopic averages need not commute for a quantum system. As a consequence, aspects of macroscopic fluctuations or of constrained equilibrium require a careful analysis, when dealing with several observables. We propose an implementation of ideas that go back to John von Neumann's writing about the macroscopic measurement. We apply our scheme to the relation between macroscopic autonomy and an H-theorem, and to the problem of equivalence of ensembles. In particular, we show how the latter is related to the asymptotic equipartition theorem. The main point of departure is an expression of a law of large numbers for a sequence of states that start to concentrate, as the size of the system gets larger, on the macroscopic values for the different macroscopic observables. Deviations from that law are governed by the entropy. (c) 2006 American Institute of Physics.
ISSN: 0022-2488
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Theoretical Physics Section
× corresponding author
# (joint) last author

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