Coincidence Landscapes for Three-Channel Linear Optical Networks
Abstract
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 functions partially accounts for permutational symmetries and directly reveals the connections among functions, partial distinguishability, and immanants.
Keywords
Cite
@article{arxiv.1402.2391,
title = {Coincidence Landscapes for Three-Channel Linear Optical Networks},
author = {Hubert de Guise and Si-Hui Tan and Isaac P. Poulin and Barry C. Sanders},
journal= {arXiv preprint arXiv:1402.2391},
year = {2014}
}