Multiphoton Discrete Fractional Fourier Dynamics in Waveguide Beam Splitters

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.

arXiv commentAccepted for publication in JOSA B on June 26, 2018

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• Characterizing four-body indistinguishability via symmetries
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• Spatial light mode analogues of generalized quantum coherent states
• Generating high-order exceptional points in coupled electronic oscillators using complex synthetic gauge fields
• Multiphoton processes via conditional measurements in the two-field interaction
• Localization effects from local phase shifts in the modulation of waveguide arrays
• Anomalous Non-Hermitian Topological Anderson Insulator