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García-Mata I, Saraceno M, Spina ME. Classical decays in decoherent quantum maps. Phys Rev Lett. 2003;91(6):064101doi: 10.1103/PhysRevLett.91.064101.
García-Mata, I., Saraceno, M., & Spina, M. E. (2003). Classical decays in decoherent quantum maps. Physical review letters, 91(6), 064101. https://doi.org/10.1103/PhysRevLett.91.064101
García-Mata, Ignacio, et al. "Classical decays in decoherent quantum maps." Physical review letters vol. 91,6 (2003): 064101. doi: https://doi.org/10.1103/PhysRevLett.91.064101
García-Mata I, Saraceno M, Spina ME. Classical decays in decoherent quantum maps. Phys Rev Lett. 2003 Aug 08;91(6):064101. doi: 10.1103/PhysRevLett.91.064101. Epub 2003 Aug 05. PMID: 12935077.
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Phys Rev Lett. 2003 Aug 08;91(6):064101. doi: 10.1103/PhysRevLett.91.064101. Epub 2003 Aug 05.

Classical decays in decoherent quantum maps.

Physical review letters

Ignacio García-Mata, Marcos Saraceno, María Elena Spina

Affiliations

  1. Departamento de Física, Comisión Nacional de Energía Atómica, Avenida del Libertador 8250 (1429), Buenos Aires, Argentina. [email protected]

PMID: 12935077 DOI: 10.1103/PhysRevLett.91.064101

Abstract

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.

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