Kicked-rotor quantum resonances in position space: Application to systems of experimental interest
Résumé
In a previous article [Phys. Rev. A, vol. 77, 042638 (2008)], we have presented an original approach of the quantum resonances of the kicked rotor. We have described the quantum resonances in position space, for strongly localized wave packets in comparison to one step of the kicking potential. In the present article, we extend that approach to experimentally accessible systems, characterized, on the contrary, by delocalized wave functions in position space. We demonstrate that the intuitive picture developed previously is still applicable here. As examples, we consider the dynamics of a thermal gas and of a Bose-Einstein condensate, both for simple and high-order quantum resonances. Our numerical simulations enable us to predict new interesting phenomena, that are explained in a large extent by analytical calculations.