Dynamical localization of a two-band system in real-space

With the method of the long-time averaged occupation probability (LAOP), we investigate the conditions of localization of an electron in the coupling two-band system under the action of ac and dc-ac fields. The values of LAOP can be calculated by Floquet theorem. We find with varying the electric field, the values of LAOP show some peaks, at which the electron can return repeatedly to the initial site or stay in the initial site forever.