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

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.

9 pages, 1 figure, published version

References in corpus (2)

• Symplectic invariants, entropic measures and correlations of Gaussian states
• Entanglement production in coupled chaotic systems : Case of the Kicked Tops