A quantum system consisting of a two-level atom interacting with a single field mode of a high-Q cavity under influence of a coherent pump is considered. The analytical solutions for the P and Q distribution functions are obtained in the limit of large Rabi frequencies. In the presence of thermal photons, the P distribution function loses its property of restriction by the range on the complex plane and becomes an analytical function. When the ratio of the atomic decay rate to the cavity mode damping rate is smaller than 4, the effect of phase bistability appears. Absorptive optical bistability is absent in this case. On the basis of the system of Fokker-Planck equations for the quasi-probabilities corresponding to the atom being on the upper and lower atomic levels, computer simulation of the stochastic trajectory of motion for the system is presented.
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