We demonstrate that the quantum localization (narrowed momentum distri
butions) observed in the recent momentum transfer experiments may be a
ssociated with the influence of classical phase space resonance struct
ures on quantum Floquet states. By numerically investigating the evolu
tion of initial distributions located in chaotic regions of the classi
cal phase space, we argue that dynamical localization, seen, for examp
le, in quantum kicked rotor models, is not the only possible explanati
on of the observed localized momentum distributions.