Abstract
In the present communication, we study the influence of phase damping in the presence of Stark shift for the multi-quanta JCM, using a master equation describing phase damping under the Markovian approximation. An analytic solution of the master equation for the multi-quant two-mode JCM Hamiltonian with the phase damping in the presence of Stark shift is obtained. We use this solution to investigate the influence of phase damping and Stark shift on nonclassical properties of the system, for the resonant and the off-resonant cases. We compare the behaviour of the system in the case of having a coherent superposition state and a statistical mixture of coherent states as an initial field. Our results show that the Stark shift plays an important role in the evolution of the population inversion in the JCM.