We show that the vibronic motion of a trapped ion far from the Lamb-Dicke regime can be described, under appropriate resonance conditions, by a strongly nonlinear, multiquantum Jaynes-Cummings model. In contrast to previous nonlinear or multiphoton generalizations of the Jaynes-Cummings model, it could presently be realized in experiments.
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Vogel et al. (1995) studied this question.
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