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

K. M. Fonseca Romero·J. E. Parreira·L. A. M. Souza·M. C. Nemes·W. F. Wreszinski
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Abstract

We 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.

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K. M. Fonseca Romero, J. E. Parreira, L. A. M. Souza, M. C. Nemes, W. F. Wreszinski. 2008-03-28. An analytical relation between entropy production and quantum Lyapunov exponents for Gaussian bipartite systems. https://doi.org/10.1088/1751-8113/41/11/115303

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