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Proceedings Paper

Azimuthal spectrum after parametric down-conversion with radial degrees of freedom
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Paper Abstract

Considering the quantum state produced in type I spontaneous parametric down-conversion with collinear, degenerate signal and idler beams, and a Gaussian pump, we show that the azimuthal Schmidt number in the Laguerre-Gaussian (LG) basis increases when the radial indices of the LG modes detected in the signal and idler beams are different. These observations are confirmed by the good agreement between theoretical and experimental results. The theoretical results are obtained by deriving expressions for the probability amplitude to detect LG modes with any combination of azimuthal and radial indices in a down-converted photonic quantum state.

Paper Details

Date Published: 8 October 2014
PDF: 8 pages
Proc. SPIE 9225, Quantum Communications and Quantum Imaging XII, 92250D (8 October 2014); doi: 10.1117/12.2063222
Show Author Affiliations
Yingwen Zhang, CSIR National Laser Ctr. (South Africa)
Filippus S. Roux, CSIR National Laser Ctr. (South Africa)
Melanie McLaren, CSIR National Laser Ctr. (South Africa)
Univ. of Witwatersrand (South Africa)
Andrew Forbes, CSIR National Laser Ctr. (South Africa)
Univ. of Witwatersrand (South Africa)


Published in SPIE Proceedings Vol. 9225:
Quantum Communications and Quantum Imaging XII
Ronald E. Meyers; Yanhua Shih; Keith S. Deacon, Editor(s)

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