When a strong attosecond laser pulse acts simultaneously with a fast ionic projectile, the electronic response of an atom changes and leads to a drastic change in the final momenta, which may be observed in recoil-ion momentum experiments. The nonlinear response to the combined fields leads in certain cases to ionization probabilities more than three times larger than the probabilities by either of the two fields individually. The results are based on an algorithm for accurate solution of the time-dependent Schrodinger equation in three dimensions, which has the property that it requires CPU time comparable with that of two-dimensional methods.
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