Jaynes–Cummings model with degenerate atomic levels and two polarization modes of the quantized field

The Jaynes–Cummings model describing the interaction of two polarization modes of the quantized electromagnetic field with an isolated two-level atom with the levels degenerate in the projections of the angular momenta on the quantization axis is studied. The general expression for the evolution operator for such a model is obtained. The examples of low values of the level angular momenta or single photon in the cavity are discussed. (letter)