Effect of cavity dissipation on the emission spectrum of an atom interacting with a field in the dispersive approximation

The emission spectrum of a two-level atom interacting dispersively with a single mode radiation field in the dissipative cavity is investigated. A general expression for the emission spectrum is derived. The numerical results for the initial field in coherent state are calculated. It is found that the spectrum structure is influenced significantly by the cavity damping constant $\kappa $, and the spectrum structure is dependent on the interaction time $T$ when the cavity dissipation is present. Only one peak located at $\omega _{a} $ appears in the atomic spectra for larger $T$.