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Abstract
This thesis is concerned with theoretical study of the bistability phenomenon with squeezed light and mesoscopic systems. Firstly, optical bistability in ring cavity configuration in which the atomic medium is environmented with squeezed light is analyzed. One of the most important applications of optical bistability, the critical slowing down which devoted to the switching response of the optical bistable device, I studied in various cavity limits in the presence of the squeezed vacuum field. In addition, the role of the transverse field on the switching of the optical bistable device in the vicinity of the critical points is discussed
Secondly, bistable(multistable) behavior thet results from the interaction of a mesoscopic system of two-level Rydberg atoms,, undergoing one-photon transition , with a single cavity mode is analysed. The initial preparation of atomic system in an atomic coherent state is considered through the study of the input-output relation within and without the plane wave approximation. Cooperative switching and switching effects between different outputs states is investigated in detail
Finally, a mesoscopic system of Rydberg atoms that produce two-photon per each atomic transition is considered to interact with a single cavity mode. The effect of the stark shift coefficient on the steady state behavior is studied. Transverse filed effect leads to over-damping of the strong nonlinear oscillation that characterize two-photon atomic systems