Multimode effect on the binding energy of hydrogen in an intense laser field.

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The dressing of a hydrogen atom by a single-mode linearly polarized laser, in the high-frequency approximation, has been shown to produce bound states with severely reduced binding energies in the high-intensity limit. The width of the ground state, under the same conditions, has also been shown to be small compared to its binding energy for easily realizable frequencies. The effect of a less-than-ideal laser has not been considered previously. We investigate the effect of a multimode laser with fixed-mode amplitudes and uncorrelated phases. We find that, in general, the binding energy is reduced and in some cases probably eliminated entirely.