Interpretation of non-Markovian stochastic Schrodinger equations as a hidden-variable theory
Interpretation of non-Markovian stochastic Schrodinger equations as a hidden-variable theory
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DOI：
10.1103/physreva.68.062104
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发表时间：
2003-12-01
影响因子：
2.9
通讯作者：
Wiseman, HM
中科院分区：
文献类型：
--
作者：
Gambetta, J;Wiseman, HM
开放量子系统的扩散非马尔可夫随机薛定谔方程（SSE）有物理解释吗？在最近的一篇论文[Phys.Rev.A66，012108（2002）]中，我们使用量子力学的正统解释研究了这个问题。我们发现，一个非马尔可夫SSE的解决方案表示的状态，该系统将在当时的环境进行测量，并产生一个特定的结果。然而，我们的结论是，将不同时期的解决方案联系起来形成一个轨迹是虚构的。在本文中，我们调查这个问题使用模态（隐变量）量子力学的解释。我们发现，噪声函数z（t）出现在非马尔可夫SSE可以解释为一个隐藏的变量的环境。也就是说，即使在没有对环境进行测量的情况下，环境的某些选定属性（beable）也具有确定的值z（t）。非马尔可夫SSE给出了这个环境隐变量上的系统状态的演化。我们提出的理论扩散非马尔可夫的SSEs的马尔可夫极限的SSEs对应于零差和外差检测，以及一个没有马尔可夫极限。
Do diffusive non-Markovian stochastic Schrodinger equations (SSEs) for open quantum systems have a physical interpretation? In a recent paper [Phys. Rev. A 66, 012108 (2002)] we investigated this question using the orthodox interpretation of quantum mechanics. We found that the solution of a non-Markovian SSE represents the state the system would be in at that time if a measurement was performed on the environment at that time, and yielded a particular result. However, the linking of solutions at different times to make a trajectory is, we concluded, a fiction. In this paper we investigate this question using the modal (hidden variable) interpretation of quantum mechanics. We find that the noise function z(t) appearing in the non-Markovian SSE can be interpreted as a hidden variable for the environment. That is, some chosen property (beable) of the environment has a definite value z(t) even in the absence of measurement on the environment. The non-Markovian SSE gives the evolution of the state of the system "conditioned" on this environment hidden variable. We present the theory for diffusive non-Markovian SSEs that have as their Markovian limit SSEs corresponding to homodyne and heterodyne detection, as well as one which has no Markovian limit.