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Quantum Electronics and Laser Science Conference

Optimized photon pair generation by parametric downconversion in nonlinear photonic crystals

María Corona, Alfred B. U’Ren

Published May 1, 2007• 0 citations
Publisher

Abstract

We explore the generation of photon pairs by the process of parametric downconversion in nonlinear photonic crystals. In particular, we show that careful design of the photonic crystal, can lead to nearly-factorable two-photon states.
DOI
10.1109/qels.2007.4431256

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We study the joint spectral properties of photon pairs generated by spontaneous parametric down-conversion in a one-dimensional nonlinear photonic crystal in a collinear, degenerate, type-II geometry. We show that the photonic crystal properties may be exploited to compensate for material dispersion and obtain photon pairs that are nearly factorable, in principle, for arbitrary materials and spectral regions, limited by the ability to fabricate the nonlinear crystal with the required periodic variation in the refractive indices for the ordinary and extraordinary waves.
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A description of spontaneous parametric down-conversion in finite-length one-dimensional nonlinear photonic crystals is developed using semiclassical and quantum approaches. It is shown that if a suitable averaging is added to the semiclassical model, its results are in very good agreement with the quantum approach. We propose two structures made with GaN∕AlN\mathrm{Ga}\mathrm{N}∕\mathrm{Al}\mathrm{N}GaN∕AlN that generate both degenerate and nondegenerate entangled photon pairs. Both structures are designed so as to achieve a high efficiency of the nonlinear process.