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Acta Optica Sinica

Statistical properties of light field at degenerate parametric down-conversion

Wei Sun

Published Jan 1, 1988• 0 citations
OpenAlex

Abstract

The evolution operator of state for degenerate parametric down-conversion has been obtained. By means of state function we have studied the statistical properties of light field at degenerate parametric down-conversion.

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A general approach is considered to find wave function and density operator evolution of the systems including the arbitrary number of coupled optical parametric interactions described by the quadratic Hamiltonian. This approach is based on the time-dependent canonical transformations that define the evolution of the system in the Heisenberg picture or in the interaction picture. An application is illustrated with four-frequency entangled light fields, which can be produced at the nonlinear optical interactions in vapors and solid states. The process includes one non-degenerate parametric down-conversion followed by two parametric up-conversions occurring in the field of the same classical pumping wave.