Fluorescence Spectrum Of A V-type Three-level Atom In The Two-mode Cavity

Resonance fluorescence is one of the most remarkable problem in the field of quan-tum optics.The peak splitting phenomenon for studying four-wave mixing problems has an important meaning.At the same time,the study of fluorescence spectrum narrowing can help us better understand the atomic structure and the atomic co-herent condition in the process of spontaneous radiation.In this paper,we mainly researched the peak splitting and narrowing conditions of the V-type atom in the two mode cavity and made a contrast with the fluorescence spectrum of V-type atom in the classical field.In order to make physical pictures more clearly,we adopted the approach of dressed state,and we found that some parameters have a close relation with the peak splitting and narrowing phenomenon of the fluorescence spectrum,in-cluding the cavity decay rates,the strength for the atom-cavity field coupling and the detuning of atomic transition frequency.We can control the peak splitting of the inner sidebands by adjusting the dacay rates of cavity;with the increasing of strength for the atom-cavity field coupling,the line width of the inner sidebands become small-er,and the peak value of the inner sidebands are enhanced;if we adjust the detuning of atomic transition frequency and driven field frequency and make it equal to the rabbi frequency of the driven field,the change of the strength for the atom-cavity field coupling can not influence the line width and peak value of the inner sidebands,and there will be no peak splitting in this case;moreover,when the detuning val-ue close to the rabbi frequency,we can sec the phenomenon of great enhancement and narrowing of the inner sidebands while under the same conditions,we can not see peak splitting and narrowing phenomenon at the sidebands of the fluorescence spectrum of the atom driven by a classical field.