论文标题
冯·诺伊曼（Von Neumann）熵和阻尼谐波振荡器的熵产生
von Neumann entropy and the entropy production of a damped harmonic oscillator
论文作者
论文摘要
在本文中，我们分析了量子布朗运动框架中描述的非分离量子系统的熵和熵产生。这是一个非常通用和范式的框架，用于描述非分离的量子系统，可用于任何类型的耦合方案。我们首先考虑使用von Neumann熵在任意抑制的量子系统中的应用，以利用其减小的密度运算符。我们认为该应用程序正式有效，并开发了一种路径积分方法来分析评估该数量。我们将此技术应用于与热浴接触的谐波振荡器，并获得其熵的精确形式。然后，我们研究该系统的熵产生，并启发其热力学行为在纯量子领域的重要特征，并解决了其过渡到经典极限。
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.
