Equivalence of the measures of non-Markovianity for open two-level systems
Equivalence of the measures of non-Markovianity for open two-level systems
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开放二能级系统非马尔可夫性测度的等价
DOI：
10.1103/physreva.84.032118
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发表时间：
2011-04
影响因子：
2.9
通讯作者：
Guo-You Wang
中科院分区：
文献类型：
--
作者：
Hao-Sheng Zeng, Ning Tang, Yan-Ping Zheng,;Guo-You Wang
人们已经提出了不同的方法来描述开放系统中量子时间演化与马尔可夫过程的偏差。我们证明了由Breuer，Laine和Piilo[Phys.莱特牧师。103,210401(2009年)]以及Rivas，Huelga和Plenio提出的两项措施[Phys.莱特牧师。105,050403(2010年)]具有完全相同的非马尔可夫时间演化间隔，因此当它们被应用于通过Jaynes-Cummings或退相模型耦合到环境的开放二能级系统时，它们实际上是彼此等价的。这种等价性意味着，这三个度量以不同的方式捕捉到了量子进化过程的非马尔可夫性的内在特征。我们还表明，对于所考虑的模型，第一个度量的定义中的最大化实际上可以被移除，而不会影响该度量检测非马尔可夫性的敏感度。
Different measures have been presented to depict the deviation of quantum time evolution in open systems from Markovian processes. We demonstrate that the measure proposed by Breuer, Laine, and Piilo [Phys. Rev. Lett. 103, 210401 (2009)] and the two measures proposed by Rivas, Huelga, and Plenio [Phys. Rev. Lett. 105, 050403 (2010)] have exactly the same non-Markovian time-evolution intervals and thus are really equivalent to each other when they are applied to open two-level systems coupled to environments via the Jaynes-Cummings or dephasing models. This equivalence implies that the three measures, in different ways, capture the intrinsic character of the non-Markovianity of quantum evolutional processes. We also show that the maximization in the definition of the first measure can be actually removed for the considered models without influencing the sensibility of the measure to detect non-Markovianity.