Dynamical localization effect on transport properties of an ac driving coupled quantum dot array

We have numerically studied the effect of dynamical localization on transport properties of an ac driving coupled quantum dot array connected to leads. We have found that if the ratio of the field magnitude to the field frequency is a root of the zeroth order Bessel function, a minimum of the average current appears making a signal to dynamical localization of one initially localized electron and collapse of the quasi-energy spectrum of the system. The dynamical localization effect is strengthened as a result of the increase of the quantum dot number, and it is weakened on account of the increase of the dots-lead hopping rate.