Post-Markovian quantum master equations from classical environment fluctuations
Post-Markovian quantum master equations from classical environment fluctuations
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DOI：
10.1103/physreve.89.012147
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发表时间：
2014-01-31
影响因子：
2.4
通讯作者：
Budini, Adrian A.
中科院分区：
文献类型：
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作者：
Budini, Adrian A.
本文证明了两个常用的现象学后马尔可夫量子主方程可以在不使用任何微扰近似的情况下导出。一个系统与一个以自经典构型波动为特征的环境耦合，后者服从马尔可夫动力学，定义了潜在的物理模型。Shabani-Lidar方程[A]。Shabani和d.a.激光雷达，物理学家。Rev. A 71, 020101(R)(2005)]及其相关的近似积分微分核主方程通过跟踪两个不同的二部马尔可夫林德布莱德动力学得到，其中环境波动由辅助系统考虑。此外，还发现了非马尔可夫系统动力学可以用测量轨迹的集合来展开的条件。此外，还提出了一种非马尔可夫量子跃迁方法。与最近的分析相反[L]。Mazzola, e.m. Laine, h.p. Breuer， S. Maniscalco和J. Piilo，物理学家。Rev. A 81, 062120(2010)]，我们也证明了这些主方程，即使具有指数记忆函数，如果哈密顿系统不与耗散动力学交换，也可能导致非马尔可夫效应，例如环境到系统的信息回流。
In this paper we demonstrate that two commonly used phenomenological post-Markovian quantum master equations can be derived without using any perturbative approximation. A system coupled to an environment characterized by self-classical configurational fluctuations, the latter obeying a Markovian dynamics, defines the underlying physical model. Both Shabani-Lidar equation [A. Shabani and D. A. Lidar, Phys. Rev. A 71, 020101(R) (2005)] and its associated approximated integrodifferential kernel master equation are obtained by tracing out two different bipartite Markovian Lindblad dynamics where the environment fluctuations are taken into account by an ancilla system. Furthermore, conditions under which the non-Markovian system dynamics can be unraveled in terms of an ensemble of measurement trajectories are found. In addition, a non-Markovian quantum jump approach is formulated. Contrary to recent analysis [L. Mazzola, E. M. Laine, H. P. Breuer, S. Maniscalco, and J. Piilo, Phys. Rev. A 81, 062120 (2010)], we also demonstrate that these master equations, even with exponential memory functions, may lead to non-Markovian effects such as an environment-to-system backflow of information if the Hamiltonian system does not commutate with the dissipative dynamics.