AI 中文总结
该研究提出新的开放系统主方程公式，其状态演化仅由局部行为决定，能对超越马尔可夫动力学进行局部解释，通过对两个物理相关模型的精确分析，展现了无坐标公式的优点。
AI 中文摘要
我们提出了一种新的开放系统主方程公式，其中状态的演化仅由其在任何时刻的局部行为决定。具体而言，与非马尔可夫态演化受其累积过去历史影响的更常见概念相反，我们的公式允许对超越马尔可夫动力学的运作进行局部解释。有趣的是，局部确定性在量子动力学中普遍存在。我们通过对两个物理相关模型的精确分析来说明我们无坐标公式的优点。
英文摘要
We propose a novel formulation of master equations for open systems wherein the evolution of a state is determined solely by its local behaviour at any point of time. Specifically, our formulation allows for a local interpretation of the workings of beyond-Markovian dynamics as opposed to the more common conception that non-Markovian state evolution is affected by its cumulative past history. Quite interestingly, local determinacy is found prevalent in quantum dynamics. We illustrate the advantages of our coordinate-free formulation with exact analyses on two physically relevant models.
Comments5 pages
