论文标题
来自热力学兼容性的开放系统动力学
Open system dynamics from thermodynamic compatibility
论文作者
论文摘要
热力学需要一组关于量子马尔可夫动力学的数学条件。特别是,系统和环境之间的严格节能意味着耗散动力学图与单一系统传播器通勤。使用光谱分析,我们证明了随后的主方程的一般形式。我们将此结果与从标准微观推导获得的主方程式进行了比较。获得的形式结构可用于测试近似推导与热力学的兼容性。例如,它指定全局主方程是兼容的选择。公理方法阐明了微观衍生物中世俗近似的有效性,热传输现象中稳态的形式,并表明开放量子系统动力学中缺乏异常点。
Thermodynamics entails a set of mathematical conditions on quantum Markovian dynamics. In particular, strict energy conservation between the system and environment implies that the dissipative dynamical map commutes with the unitary system propagator. Employing spectral analysis we prove the general form of the ensuing master equation. We compare this result to master equations obtained from standard microscopic derivations. The obtained formal structure can be employed to test the compatibility of approximate derivations with thermodynamics. For example, it designates that global master equations are the compatible choice. The axiomatic approach sheds light on the validity of the secular approximation in microscopic derivations, the form of the steady state in heat transport phenomena, and indicates the lack of exceptional points in the dynamics of open quantum systems.