An analytical relation between entropy production and quantum Lyapunov exponents for Gaussian bipartite systems

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dc.creatorRomero, K. M. Fonseca
dc.creatorParreira, J. E.
dc.creatorSouza, L. A. M.
dc.creatorNemes, M. C.
dc.creatorWreszinski, W. F.
dc.date2007-03-22
dc.date2008-03-28
dc.date.accessioned2026-07-07T09:29:14Z
dc.date.available2026-07-07T09:29:14Z
dc.descriptionWe study and compare the information loss of a large class of Gaussian bipartite systems. It includes the usual Caldeira-Leggett type model as well as Anosov models (parametric oscillators, the inverted oscillator environment, etc), which exhibit instability, one of the most important characteristics of chaotic systems. We establish a rigorous connection between the quantum Lyapunov exponents and coherence loss, and show that in the case of unstable environments coherence loss is completely determined by the upper quantum Lyapunov exponent, a behavior which is more universal than that of the Caldeira-Leggett type model.
dc.description9 pages, 1 figure, published version
dc.identifierhttps://arxiv.org/abs/quant-ph/0703200
dc.identifierhttp://arxiv.org/abs/quant-ph/0703200
dc.identifierJ. Phys. A: Math. Theor. 41 115303 (9pp) (2008)
dc.identifierdoi:10.1088/1751-8113/41/11/115303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157711
dc.subjectQuantum Physics
dc.titleAn analytical relation between entropy production and quantum Lyapunov exponents for Gaussian bipartite systems
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