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A unitary transformation of the N-ion Jaynes-Cummings hamiltonian isproposed. It is shown that any approximate expression of the evolution operatorassociated with the transformed hamiltonian retains its validity independentlyfrom the intensity of the external driving field. In particular, using therotating wave approximation, one obtains a solution for the N-ionJaynes-Cummings model which improves the standard rotating wave approximationsolution.Comment: Presented at the Wigner Centennial Conference (Pecs, Hungary, July  2002) (to appear on Journal of Optics B, provisionally scheduled for June  2003 issue

Evolution of theN-ion Jaynes–Cummings model beyond the standard rotating wave approximation