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

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

2007-03-22

arxiv.org/abs/quant-ph/0703200v3

J. Phys. A: Math. Theor. 41 115303 (9pp) (2008)

Physics

Quantum Physics

9 pages, 1 figure, published version

Scientific paper

10.1088/1751-8113/41/11/115303

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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