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Statistics of the single mode light in the transparent medium with cubic nonlinearity

V. N. Gorbachev·A. I. Zhiliba
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Abstract

The quantum statistics of the light in the transparent medium with cubic nonlinearity is considered. Two types of transparent media are treated, namely, the cold transparent medium with a ground working level and the inversion-free medium with the lasing levels of the same population. The spectra of light fluctuation are found on the basis of both Scully-Lamb and Haken theories. The conditions for the use of effective Hamiltonian are determined. Basing on the exact solution of the Fokker-Plank equation for the Glauber-Sudarshan P-function the inversion-free medium with cubic nonlinearity is shown to be the source of spontaneous radiation with non-Gaussian statistics.

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V. N. Gorbachev, A. I. Zhiliba. 1999-02-23. Statistics of the single mode light in the transparent medium with cubic nonlinearity. https://arxiv.org/abs/quant-ph/9902070

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