CAVITY FIELD SPECTRUM FOR MULTIPHOTON JAYNES-CUMMINGS MODEL

The field spectra in an ideal cavity for the multiphoton Jaynes-Cummin gs model are studied. The analytical expression for the spectrum is ob tained from the finite double-Fourier transform of the two-time field correlation function. The spectral differences between the initial coh erent and initial thermal states are discussed, and the comparisons be tween the field spectra and atomic emission spectra for k = 2, 3 and 4 are presented. It is shown that the kth power of the photon annihilat ion operator and atomic lowering operator are subjected to identical f orms of a second-order differential equation, in which the coefficient s consist of the constants of motion. The field spectrum in the cavity and the emission spectrum of the atom for the initial vacuum state ar e compared.