Non-Markovian dynamics for bipartite systems
Non-Markovian dynamics for bipartite systems
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DOI：
10.1103/physreva.78.022112
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发表时间：
2008-05
影响因子：
2.9
通讯作者：
B. Vacchini
中科院分区：
文献类型：
--
作者：
B. Vacchini
我们分析了与储层耦合的二分系统动力学中非马尔可夫效应的出现，这可以在由广义 Lindblad 结构给出的一类非马尔可夫方程中进行描述。导出了一个主方程，我们将其称为量子布洛赫-玻尔兹曼方程，描述了量子框架中测试粒子的运动状态和内部状态。当由于系统的准备或退相干效应，两个自由度之一适合经典处理并且在最终测量中未得到解决时，尽管与储层的相互作用相关，但可能会发生非马尔可夫行为，例如相干性的拉伸指数或幂律衰减。
We analyze the appearance of non-Markovian effects in the dynamics of a bipartite system coupled to a reservoir, which can be described within a class of non-Markovian equations given by a generalized Lindblad structure. A master equation is derived, which we term the quantum Bloch-Boltzmann equation, describing both motional and internal states of a test particle in a quantum framework. When due to the preparation of the system or to decoherence effects one of the two degrees of freedom is amenable to a classical treatment and not resolved in the final measurement, though relevant for the interaction with the reservoir, non-Markovian behaviors such as stretched exponential or power law decay of coherences can occur.