三信道线性光网络的符合景观
Coincidence Landscapes for Three-Channel Linear Optical Networks
摘要：
我们使用置换群方法和SU（3）群论方法来确定三通道无源光干涉仪对每个通道可控延迟单光子脉冲输入的作用。置换群技术使我们能够直接表达率，特别是调查对称性的巧合景观。这些技术将传统的双通道干涉测量中的Hong-Ou-Mandel效应分析扩展到三通道干涉测量中的山谷和高原。我们的群论方法在直观上是吸引人的，因为维格纳$D$函数的演算部分地解释了置换对称性，并直接揭示了$D$函数、部分可置换性和固有量之间的联系。
英文摘要：
We use permutation-group methods plus SU(3) group-theoretic methods to determine the action of a three-channel passive optical interferometer on controllably delayed single-photon pulse inputs to each channel. Permutation-group techniques allow us to relate directly expressions for rates and, in particular, investigate symmetries in the coincidence landscape. These techniques extend the traditional Hong-Ou-Mandel effect analysis for two-channel interferometry to valleys and plateaus in three-channel interferometry. Our group-theoretic approach is intuitively appealing because the calculus of Wigner $D$ functions partially accounts for permutational symmetries and directly reveals the connections among $D$ functions, partial distinguishability, and immanants.
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