高斯二分系统熵产生与量子李雅普诺夫指数的解析关系
An analytical relation between entropy production and quantum Lyapunov exponents for Gaussian bipartite systems
摘要：
研究和比较了一类高斯二部系统的信息损失。它包括通常的Caldeira-Leggett型模型以及Anosov模型（参数振荡器，逆振荡器环境等），这些模型表现出不稳定性，这是混沌系统最重要的特征之一。我们建立了量子李雅普诺夫指数和相干损失之间的严格联系，并表明在不稳定环境的情况下，相干损失完全由上量子李雅普诺夫指数决定，这一行为比Caldeira-Leggett型模型更具有普遍性.
英文摘要：
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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