Effective Hamiltonians and Statistics of Single-Mode Light in a Transparent Medium with Cubic Nonlinearity.

S. B. Arifzhanov, Eougenious L. Ivchenko

Valeriy P. Kandidov, Svyatoslav A. Shlenov

Valery P. Kandidov, Svyatoslav A. Shlenov

В. Н. Горбачев, A. I. Zhiliba

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.

В. Н. Горбачев, A. I. Zhiliba

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

Daniel F. Walls