Abstract
We discuss the influence of the laser pulse turn-on on the radiation spectrum emitted by an atom strongly driven by an intense laser field. For this purpose we use the results obtained from the direct numerical solution of the time-dependent Schr\"odinger equation and from a Floquet analysis of the wave function. We observe a strong dependence of the intensities of the harmonics and of the hyper-Raman lines on the duration of the turn-on, with differences that can reach several orders of magnitude. This dependence can be explained in terms of population transfers between Floquet states at avoided crossings. We support our analysis with numerical simulations for a two-level system and also with the help of a more realistic model, the one-dimensional soft Coulomb potential, obtaining similar results. \textcopyright{}1996 The American Physical Society.
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