We demonstrate that when a waveguide beam splitter (BS) is excited by N indistinguishable photons, the arising multiphoton states evolve in a way as if they were coupled to each other with coupling strengths that are identical to the ones exhibited by a discrete fractional Fourier system. Based on the properties of the fractional Fourier transform, we then derive a multiphoton suppression law for 50/50 BSs, thereby generalizing the Hong–Ou–Mandel effect. Furthermore, we examine the possibility of performing simultaneous multiphoton quantum random walks by using a single waveguide BS in combination with photon-number-resolving detectors. We anticipate that the multiphoton lattice-like structures unveiled in this work will be useful to identify new effects and applications of high-dimensional multiphoton states.
Publication Source (Journal or Book title)
Journal of the Optical Society of America B: Optical Physics
Tschernig, K., De León-Montiel, R., Magaña-Loaiza, O., Szameit, A., Busch, K., & Perez-Leija, A. (2018). Multiphoton discrete fractional fourier dynamics in waveguide beam splitters. Journal of the Optical Society of America B: Optical Physics, 35 (8), 1985-1989. https://doi.org/10.1364/JOSAB.35.001985