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

摘要

The spectra of light fluctuations in a cold transparent intracavity medium are determined from the master equations for the electromagnetic field in the Lax-Louisell model, which can be reduced to the models of the Haken and Lamb-Scully types. The effective Hamiltonian appears for the transparent medium with cubic nonlinearity only if certain relations are fulfilled between the relaxation constants of the atomic levels.