论文标题
基于子系统本征状的热力学一致的主方程
Thermodynamically consistent master equation based on subsystem eigenstates
论文作者
论文摘要
适当假设下的主方程是研究开放量子系统的有效工具。对于多体系统，本地夫妇可以进行热浴而彼此弱相互作用的子系统，本地方法比全球方法提供了更方便的描述。但是，当存在InterSubsystem相互作用时，这些本地主方程被认为会与热力学定律产生不一致。在这里，我们通过用于推导传统的Gorini-Kossakowski-lindblad-Sudarshan Master方程的类似近似值来开发替代的本地主方程。特别是，我们坚持使用每个子系统的特征状态来构建量子跳跃操作员，并且还采用了世俗近似来修改InterSubsystem交互。我们的结果表明，在纠正跨系统相互作用后，将避免违反热力学定律。最后，我们研究了一个两倍的传热模型，这进一步显示了我们修改的主方程的有效性。
Master equations under appropriate assumptions are efficient tools for the study of open quantum systems. For many-body systems, subsystems of which locally couple to thermal baths and weakly interact with each other, the local approach provides a more convenient description than the global approach. However, these local master equations are believed to generate inconsistencies with the laws of thermodynamics when intersubsystem interactions exist. Here we develop an alternative local master equation by virtue of similar approximations used in deriving the traditional Gorini-Kossakowski-Lindblad-Sudarshan master equation. In particular, we stick to using eigenstates of each subsystem to construct quantum jump operators, and the secular approximation is also employed to modify the intersubsystem interactions. Our results show that violations of thermodynamic laws will be avoided after correcting intersubsystem interactions. Finally, We study a two-qubit heat transfer model and this further shows the validity of our modified master equation.
