论文标题
操作量子非马克维亚性的扰动理论
Perturbation theory for operational quantum non-Markovianity
论文作者
论文摘要
在操作方法中，对量子非马克维亚性的记忆的定义取决于与感兴趣系统执行的连续测量过程相关的不同结果集的统计特性。使用投影仪技术，我们开发了一种扰动理论，该理论能够以不受干扰的系统密度矩阵传播器来表达联合概率和结果相关性。该对象在没有测量过程的情况下定义了开放的系统动力学。连续的串联术语是由系统 - 环境相互作用强度缩放的，由涉及系统传播器加权的卷积结构组成。通过研究承认确切描述的不同动态来证实形式主义。使用扰动方法，在有限温度储层中发现了系统 - 环境相互作用和测量过程之间的相互作用引起的异常记忆效应。
The definition of memory in operational approaches to quantum non-Markovianity depends on the statistical properties of different sets of outcomes related to successive measurement processes performed over the system of interest. Using projectors techniques we develop a perturbation theory that enables to expressing both joint probabilities and outcome correlations in terms of the unperturbed system density matrix propagator. This object defines the open system dynamics in absence of measurement processes. Successive series terms, which are scaled by the system-environment interaction strength, consist in a convolution structure involving system propagators weighted by higher order bath correlations. The formalism is corroborated by studying different dynamics that admit an exact description. Using the perturbative approach, unusual memory effects induced by the interplay between the system-environment interaction and measurement processes are found in finite temperature reservoirs.
