Abstract
We study the dynamics of a two-level trapped ion in a standingwave electromagnetic field in two-dimensional (2D) noncommutativespaces in the Lamb–Dicke regime under the rotating waveapproximation. We obtain the explicit analytical expressions forthe energy spectra, energy eigenstates, unitary time evolutionoperator, atomic inversion, and phonon number operators. The Rabioscillations, the collapse, and revivals in the average atomicinversion and the average phonon number are explicitly shown tocontain the information of the parameter of the spacenoncommutativity, which sheds light on proposing new schemes basedon the dynamics of trapped ion to test the noncommutativity.
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