开放二能级系统非马尔可夫性测度的等价性
Equivalence of the measures of non-Markovianty for open two-level systems
摘要：
为了刻画开放系统中量子时间演化偏离马尔可夫过程的程度，人们提出了不同的度量。我们证明了Breuer，Laine和Piilo [Phys. Rev. Lett. 103，210401（2009）]和Rivas，Huelga和Plenio [Phys. Rev. Lett. 105，050403（2010）]具有完全相同的非马尔可夫时间演化间隔，因此当它们应用于通过Jaynes-Cummings模型或退相模型耦合到环境的开放两能级系统时，它们实际上彼此等价。这种等价性意味着这三种测度以不同的方式捕捉到了量子演化过程的非马尔可夫性的本质特征。我们还表明，在第一个措施的定义中的最大化，实际上可以删除所考虑的模型，而不影响检测非马尔可夫性的措施的灵敏度。
英文摘要：
In order to depict the deviation of quantum time evolution in open systems from Markovian processes, different measures have been presented. 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 each other when they apply to open two-level systems coupled to environments via Jaynes-Cummings or dephasing models. This equivalence implies that the three measures in different ways capture the intrinsical characters of non-Markovianty 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-Markovianty.
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