In this work we consider a Hamiltonian model consisting of a two-mode bosonic field interacting with an effective two-level atom. We study the influences of the Stark shifts and the Kerr-like medium on the degree of entanglement and the spectrum of the system via nondegenerate Raman two-photon processes. The analytical expression for the spectrum is obtained from the finite double-Fourier transform of the two-time field correlation function. It is shown that the effect of the Stark shift changes the quasi period of the field entropy and hence the entanglement between the particle and the field. PACS. 42.50.Vk - Mechanical effects of light on atoms, molecules, electrons, and ions.PACS. 32.80.-t - Photon interactions with atoms.PACS. 03.65.Ge - Solutions of wave equations: bound states.