Classical decays in decoherent quantum maps

The linear entropy and the Loschmidt echo have proved to be of interest recently in the context of quantum information and of the quantum to classical transitions. We study the asymptotic long-time behavior of these quantities for open quantum maps and relate the decays to the eigenvalues of a coars...

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Bibliographic Details
Published inPhysical review letters Vol. 91; no. 6; p. 064101
Main Authors García-Mata, Ignacio, Saraceno, Marcos, Spina, María Elena
Format Journal Article
LanguageEnglish
Published United States 08.08.2003
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Summary:The linear entropy and the Loschmidt echo have proved to be of interest recently in the context of quantum information and of the quantum to classical transitions. We study the asymptotic long-time behavior of these quantities for open quantum maps and relate the decays to the eigenvalues of a coarse-grained superoperator. In specific ranges of coarse graining, and for chaotic maps, these decay rates are given by the Ruelle-Pollicott resonances of the classical map.
ISSN:0031-9007
DOI:10.1103/PhysRevLett.91.064101