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arXiv · 1807.07463

Multiphoton Discrete Fractional Fourier Dynamics in Waveguide Beam Splitters

Konrad Tschernig·Roberto de J. Leon-Montiel·Omar S. Magana-Loaiza·Alexander Szameit·Kurt Busch·Armando Perez-Leija
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Abstract

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 discrete 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.

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Konrad Tschernig, Roberto de J. Leon-Montiel, Omar S. Magana-Loaiza, Alexander Szameit, Kurt Busch, Armando Perez-Leija. 2018-07-19. Multiphoton Discrete Fractional Fourier Dynamics in Waveguide Beam Splitters. https://doi.org/10.1364/josab.35.001985

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