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We study dynamical recurrences of a Bose-Einstein condensate in an opticalcrystal subject to a periodic external driving force. The recurrence behaviorof the condensate is analyzed as a function of time close to nonlinearresonances occurring in the classical counterpart. Our mathematical formalismfor the recurrence time scales is presented as delicate recurrences, which takeplace, for instance, when the lattice is perturbed weakly and robustrecurrences, which may manifest themselves for a sufficiently strong externaldriving force. The analysis not only is valid for a dilute condensate, but alsois applicable for the strongly interacting homogeneous condensate provided; theexternal modulation causes no significant change in the density profile of thecondensate. We explain the parametric dependence of the dynamical recurrencetimes, which can easily be realized in laboratory experiments. In addition, wefind good agreement between the obtained analytical results and the numericalcalculations.

Delicate and robust dynamical recurrences of matter waves in driven optical crystals