Recurrences in driven quantum systems.

We calculate the recombination probability for an atom interferometric experiment in which the beams interfere after one of them has been exposed to an intense laser. We choose a model one-dimensional atomic potential and find that if the intensity of the laser is large, there are recurrences in the recombination probability as a function of time, irrespective of the frequency of excitation. This implies that the particles exposed to the laser have a large amplitude to be in the localized initial state in spite of having sufficient energy to escape from the binding potential.