Hong Kang-Hee, Jung Jisung, Cho Young-Wook, Han Sang-Wook, Moon Sung, Oh Kyunghwan, Kim Yong-Su, Kim Yoon-Ho
Opt Express. 2017 May 1;25(9):10610-10621. doi: 10.1364/OE.25.010610.
Photon anti-bunching, measured via the Hanbury-Brown-Twiss experiment, is one of the key signatures of quantum light and is tied to sub-Poissonian photon number statistics. Recently, it has been reported that photon anti-bunching or conditional sub-Poissonian photon number statistics can be obtained via second-order interference of mutually incoherent weak lasers and heralding based on photon counting [Phys. Rev. A92, 033855 (2015)10.1103/PhysRevA.92.033855; Opt. Express24, 19574 (2016)10.1364/OE.24.019574; https://arxiv.org/abs/1601.08161]. Here, we report theoretical analysis on the limits of manipulating conditional photon statistics via interference of weak lasers. It is shown that conditional photon number statistics can become super-Poissonian in such a scheme. We, however, demonstrate explicitly that it cannot become sub-Poissonian, i.e., photon anti-bunching cannot be obtained in such a scheme. We point out that incorrect results can be obtained if one does not properly account for seemingly negligible higher-order photon number expansions of the coherent state.
通过汉伯里 - 布朗 - 特威斯实验测量的光子反聚束是量子光的关键特征之一，并且与亚泊松光子数统计相关。最近，有报道称光子反聚束或条件亚泊松光子数统计可以通过相互非相干弱激光的二阶干涉以及基于光子计数的预示来获得[《物理评论A》92, 033855 (2015)10.1103/PhysRevA.92.033855；《光学快报》24, 19574 (2016)10.1364/OE.24.019574；https://arxiv.org/abs/1601.08161]。在此，我们报告关于通过弱激光干涉操纵条件光子统计极限的理论分析。结果表明，在这样的方案中条件光子数统计可以变为超泊松分布。然而，我们明确证明它不能变为亚泊松分布，即在这样的方案中不能获得光子反聚束。我们指出，如果不正确地考虑相干态看似可忽略的高阶光子数展开，可能会得到错误的结果。
