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We investigate the effects of frequency dispersion of the nonlinear susceptibility associated to the two-photon resonance, obtaining the necessary conditions for a solitary wave solution, even in the presence of a self-steepening term.
We investigate the interaction of a two-level atom and a quantized cavity field, taking into account the level shifts produced by the Stark effect. We compare the evolution of this system with the interaction of an atom and a quantized field when the cavity is filled with a Kerr medium.
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