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Abstract in this thesis we have studied a quantium system in two main parts. the first is system wihout damping, and the other with concept of damping.in chapter three we have studied the system of two-level atoms interacting with two nonegenerate cavity modes. the two atoms and the field are initially prepared in the atomic superposition states and the two mode co-herent state, respectvely. we have studied the behavior of the atomic inversions, tangles and Wigner function distrbution difference coupling constant g=1, g # 1. we dound that the atomic inversion exibit RCP as well as secondary revials for the symmetric case the behavior of the atomic inversionto similar to that of the intensity-dependent JCM and two phton JMC [89], [90], the system can generate periodical entanglement resulting from the nature of the PCS which is a maximally entangled state. |