Nonlinear Jaynes-Cummings Dynamics of a Trapped Ion Under a Dressed-State Description

Introducing a dressed-state description, we show that a trapped ion in a standing wave field can be described by a nonlinear Jaynes-Cummings model different from the counterpart of Vogel and Matos Filho Phys. Rev. A 52 (1995) 4214 in several aspects, which may carry important implications for the preparation and reconstruction of the nonclassical states of a trapped ion.