展开开放量子系统中的系统-环境关联：重新审视主方程与玻恩近似
Unfolding system-environment correlation in open quantum systems: Revisiting master equations and the Born approximation
AI总结：
本文提出将开放量子系统的常见主方程重新表述为含系统-浴关联算符的通用形式，揭示了主方程中隐藏的系统-环境关联信息，并证明二阶通用类Lindblad方程能更准确地捕获关联。
摘要：
理解开放量子系统中的系统-浴关联对于各种量子信息与技术应用至关重要。大多数关于开放系统动力学的主方程（MEs）的推导需要近似，这些近似掩盖了系统动力学对关联的依赖，因为MEs关注的是约化系统动力学。在此我们证明，最常见的MEs确实包含关于显式系统-环境关联的隐藏信息。我们通过将MEs重新表述为一种通用形式来展开这些关联，其中出现了系统-浴关联算符。这些方程包括Lindblad、Redfield、二阶无时间卷积、二阶Nakajima-Zwanzig以及二阶通用类Lindblad情况。我们进一步在一个例子中说明我们的结果，这表明二阶通用类Lindblad方程比其他标准技术更准确地捕获关联。
英文摘要：
Understanding system-bath correlations in open quantum systems is essential for various quantum information and technology applications. Derivations of most master equations (MEs) for the dynamics of open systems require approximations that mask dependence of the system dynamics on correlations, since the MEs focus on reduced system dynamics. Here we demonstrate that the most common MEs indeed contain hidden information about explicit system-environment correlation. We unfold these correlations by recasting the MEs into a universal form in which the system-bath correlation operator appears. The equations include the Lindblad, Redfield, second-order time-convolutionless, second-order Nakajima-Zwanzig, and second-order universal Lindblad-like cases. We further illustrate our results in an example, which implies that the second-order universal Lindblad-like equation captures correlation more accurately than other standard techniques.
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