Approximate solutions for the ion-laser interaction in the high intensity regime: Matrix method perturbative analysis

We provide an explicit expression for the second-order perturbative solution of a single trapped-ion interacting with a laser field in the strong excitation regime. From the perturbative analytical solution, based on a matrix method and a final normalization of the perturbed solutions, we show that the probability to find the ion in its excited state fits well with former results.
Comment: 14 pages, 4 figures