Squeezing of an effective dipole in a non-degenerate two-photon Jaynes-Cummings model with Stark shift

The effective dipole squeezing (EDS) of a non-degenerate two-photon Jaynes-Cummings model (NTPJCM) is examined in presence of optical Stark shift. We consider the cases where (i) the atom, or (ii) the field is initially prepared in a superposition of states, It is shown that Stark shift has an additional feature apart from introducing an intensity dependent detuning - it induces phase sensitivity in the system. Further, for low values of the Stark parameter the squeezing follows the revival of Rabi oscillations, It is also shown that squeezing persists in certain intervals of time and does not depend on the initial phase of the atom field system.