双光子态横向强度关联的传播
Propagation of transverse intensity correlations of a two-photon state
摘要：
利用分数傅里叶变换，从理论和实验上研究了光子对横向空间相关在任意一阶线性光学系统中的传输。通过自发参量下转换产生了类EPR态的高关联光子对，并受到光学分数傅里叶变换系统的影响。它示出的联合检测概率可以显示相关性，反相关性，或没有相关性，这取决于下转换光子的变换的阶数$α$和$β$的总和。我们给出了完全关联EPR态的传播的解析结果，以及参量下转换产生的双光子态的传播的数值结果。我们发现理论和实验之间的良好协议。
英文摘要：
The propagation of transverse spatial correlations of photon pairs through arbitrary first-order linear optical systems is studied experimentally and theoretically using the fractional Fourier transform. Highly-correlated photon pairs in an EPR-like state are produced by spontaneous parametric down-conversion and subject to optical fractional Fourier transform systems. It is shown that the joint detection probability can display either correlation, anti-correlation, or no correlation, depending on the sum of the orders $α$ and $β$ of the transforms of the down-converted photons. We present analytical results for the propagation of the perfectly correlated EPR state, and numerical results for the propagation of the two-photon state produced from parametric down-conversion. We find good agreement between theory and experiment.
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