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.
Cite
@article{arxiv.1807.07463,
title = {Multiphoton Discrete Fractional Fourier Dynamics in Waveguide Beam Splitters},
author = {Konrad Tschernig and Roberto de J. Leon-Montiel and Omar S. Magana-Loaiza and Alexander Szameit and Kurt Busch and Armando Perez-Leija},
journal= {arXiv preprint arXiv:1807.07463},
year = {2018}
}
Comments
Accepted for publication in JOSA B on June 26, 2018