Abstract
We investigate the two-mode normal squeezing in the presence of Stark shifts for a generalized Jaynes-Cummings Model (JCM) with a two-level particle (atom or trapped ion) and two modes interacting nonlinearly. The effect of the relative phase between the atomic superposition state and the coherent field in the presence and absence of the Stark shift on squeezing is studied. Different values for the parameters of the atomic coherent state are taken.