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The European Physical Journal D

Quantum structures in traveling-wave spontaneous parametric down-conversion

E. Brambilla, A. Gatti, Luigi A. Lugiato, Mikhail I. Kolobov

Published Jul 1, 2001• 31 citations
Publisher
DOI
10.1007/s100530170190

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We study spontaneous parametric down conversion (SPDC) in a one-dimensional photonic crystal designed to operate in a doubly resonant configuration, where the frequencies of the pump and the generated photons are both tuned to band-edge resonances. We investigate the spectral correlations of the generated photons as a function of the spectral width of the pump, and demonstrate that the SPDC generation rate can scale with the fifth power of the structure length in the limit of a quasi-continuous-wave pump. We show that such an unusual scaling can be simply connected with the scaling of second-harmonic generation in the same structure, illustrating the general link between spontaneous and stimulated parametric nonlinear processes.