Resonances of a quanrum delta kicked accelerator

A quantum d-kicked accelerator exhibits the phenomenon of resonance whenever the period of kicking is a rational fraction of the half-Talbot time similar to a quantum d-kicked rotor. The signatures of these resonances are the existence of quantum accelerator modes. We observed resonances for the periods of 1/2, 2/3, and 1/3 of the half-Talbot time. A model based on the rephasing of the momentum states constituting the accelerator modes has been successfully used to predict the behavior.