论文标题
多党Spohn的定理，用于本地马尔可夫和非马克维亚量子动力学的组合
Multiparty Spohn's theorem for a combination of local Markovian and non-Markovian quantum dynamics
论文作者
论文摘要
我们获得了两个或多个量子系统的Gorini-Kossakowski-Sudarshan-Lindblad-Lindblad的主方程，并在本地连接到马尔可夫和非马克维亚热浴的组合。主方程最初是针对拥有马尔可夫或非马克维亚环境的多党系统制定的。我们将其扩展为包含多个量子系统的情况，这些量子系统连接到马尔可夫和非马克维亚热浴的混合物。非马克维亚和马尔可夫环境的共存是一个合理的情况，尤其是在研究混合物理系统（例如Atom-Photon布置）时。我们分析了此类本地环境的热力学数量，并得出了Spohn定理的修改形式以进行设置。定理的修改自然会导致证人以及易于计算的非马克维亚性量词。预计，我们发现，对于多方情况，马尔可夫和非马克维亚热浴的组合是活跃的，由于非马克维亚浴而引起的热力学系统特征的响应有时很突出，而长期行为则主要由马克维亚人控制。
We obtain a Gorini-Kossakowski-Sudarshan-Lindblad -like master equation for two or more quantum systems connected locally to a combination of Markovian and non-Markovian heat baths. The master equation was originally formulated for multiparty systems with either exclusively Markovian or non-Markovian environments. We extend it to encompass the case of multiple quantum systems connected to a mixture of Markovian and non-Markovian heat baths. The coexistence of both non-Markovian and Markovian environments is a plausible scenario, particularly when studying hybrid physical systems such as atom-photon arrangements. We analyze the thermodynamic quantities for such a set of local environments, and derive a modified form of the Spohn's theorem for the setup. The modification of the theorem naturally leads to a witness as well as an easily computable quantifier of non-Markovianity. Expectedly, we find that for multiparty situations, where a combination of Markovian and non-Markovian heat baths are active, the response in thermodynamic system characteristics due to non-Markovian baths is prominent at times close to the initial time of evolution, whereas the long-time behavior is predominantly controlled by the Markovian ones.
