Abstract
The Fokker-Planck equation approach to the second harmonic generation is adopted to obtain a set of moment equations for this process. This set of equations is truncated in consistence with a model of generalized superposition of coherent fields and quantum noise, which provides equations of motion for unknown quantities in the model. Numerical solution of these equations provides at once the photon number distribution and its factorial moments including fully quantum features of radiation such as its sub-Poisson behaviour and squeezing of vacuum fluctuations. Limits of this approximation are discussed and numerical results are provided.
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