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A general Floquet approach is used to investigate the nonlinear response of a multilevel quantum system driven by a strong, in general off-resonance, pump field. The response to a weak probe field is studied near the quasienergy interval resonances. A general condition is derived for a phenomenon in which the transition matrix elements for a given pair of Floquet states simultaneously vanish for an infinite number of equally spaced resonances beyond a unique frequency edge. This phenomenon is illustrated with several models involving modulating interactions and possibilities for its observation are analyzed. {} 1996 The American Physical Society.
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Smelyanskiy et al. (1996) studied this question.
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