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Author Balachandran, A. P. ♦ Queiroz, A. R. ♦ Vaidya, S.
Source SpringerLink
Content type Text
Publisher Springer Berlin Heidelberg
File Format PDF
Copyright Year ©2013
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Physics
Subject Keyword Applied and Technical Physics ♦ Theoretical, Mathematical and Computational Physics ♦ Statistical Physics, Dynamical Systems and Complexity ♦ Condensed Matter Physics ♦ Atomic, Molecular, Optical and Plasma Physics
Abstract The von Neumann entropy of a generic quantum state is not unique unless the state can be uniquely decomposed as a sum of extremal or pure states. As pointed out to us by Sorkin, this happens if the GNS representation (of the algebra of observables in some quantum state) is reducible, and some representations in the decomposition occur with non-trivial degeneracy. This non-unique entropy can occur at zero temperature. We will argue elsewhere in detail that the degeneracies in the GNS representation can be interpreted as an emergent broken gauge symmetry, and play an important role in the analysis of emergent entropy due to non-Abelian anomalies. Finally, we establish the analogue of an H -theorem for this entropy by showing that its evolution is Markovian, determined by a stochastic matrix.
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2013-10-04
Publisher Place Berlin, Heidelberg
e-ISSN 21905444
Journal The European Physical Journal Plus
Volume Number 128
Issue Number 10
Page Count 12
Starting Page 1
Ending Page 12

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Source: SpringerLink