标题： 量子非绝热熵产生的等价定义 显示英文标题

标题： Equivalent definitions of the quantum nonadiabatic entropy production

摘要： 非绝热熵产生是连续耗散的非平衡稳态热力学分析的有用工具。 对于开放量子系统，文献中出现了两种看似不同的非绝热熵产生的定义，一种基于量子相对熵，另一种基于量子轨迹。 我们证明了这两种表述是等价的。 此外，这种等价性使我们能够证明在一类特殊的完全正、保迹量子映射下量子相对熵的单调性，这避开了与算子非对易结构相关的困难。 显示英文摘要

摘要： The nonadiabatic entropy production is a useful tool for the thermodynamic analysis of continuously dissipating, nonequilibrium steady states. For open quantum systems, two seemingly distinct definitions for the nonadiabatic entropy production have appeared in the literature, one based on the quantum relative entropy and the other based on quantum trajectories. We show that these two formulations are equivalent. Furthermore, this equivalence leads us to a proof of the monotonicity of the quantum relative entropy under a special class of completely-positive, trace-preserving quantum maps, which circumvents difficulties associated with the noncommuntative structure of operators.