冯诺伊曼熵与阻尼谐振子的熵产生
von Neumann entropy and the entropy production of a damped harmonic oscillator
摘要：
本文在量子布朗运动框架下分析了非孤立量子系统的熵和熵产生。这是描述非孤立量子系统的一个非常普遍和典型的框架，可以用于任何类型的耦合机制。首先考虑利用约化密度算符将冯诺伊曼熵应用于任意阻尼量子系统。我们认为，这个应用程序是正式有效的，并开发了一个路径积分方法来评估，数量分析。我们将这种方法应用于与热浴接触的谐振子，并得到其熵的精确形式。然后我们研究了这个系统的熵产生，揭示了它在纯量子领域的物理行为的重要特征，并讨论了它们向经典极限的转变。
英文摘要：
In this paper we analyze the entropy and entropy production of a non-isolated quantum system described within the quantum Brownian motion framework. This is a very general and paradigmatic framework for describing non-isolated quantum systems and can be used in any kind of coupling regime. We start by considering the application of von Neumann entropy to an arbitrarily damped quantum system making use of its reduced density operator. We argue that this application is formally valid and develop a path integral method to evaluate that quantity analytically. We apply this technique to a harmonic oscillator in contact with a heat bath and obtain an exact form for its entropy. Then we study the entropy production of this system and enlighten important characteristics of its thermodynamical behavior on the pure quantum realm and also address their transition to the classical limit.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
