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Multistability that results from the interaction of a mesoscopic two-level two-photon Rydberg atomic system, driven by coherent field, with a single cavity mode is investigated in both absorber and amplifier regimes. The stark shift coefficient which included in two-photon transition atomic systems, leads to a weaken Rabi oscillations under certain parameters of the system. The effect of the stark shift is different in both absorber and amplifier regimes. Transverse field effects, in addition to the stark shift parameter leads to over-damped Rabi oscillations rather than strong nonlinear oscillations that characterizing two-photon transition systems.

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