Parametric down-conversion and maximal pump depletion

A. Bandilla, G. Drobný, Igor Jex · Journal of Optics B Quantum and Semiclassical Optics · 2000

Using the truncated Wigner function approach and the Bloembergen solutions for nondegenerate down-conversion we calculate the conversion efficiency of spontaneous parametric down-conversion. In addition we determine higher moments of the pump and signal photon number. We find the upper bound for the efficiency of energy transfer and give a physically intuitive explanation for its existence. The depletion of the pump mode is immediately characterized by a strong destruction of its coherence.

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