Study on the observation of dynamic localization in shaken optical lattices

Highlights: • A practical method is proposed to study the dynamic localization in optical lattices. • The hybrid modulation in this kind of optical lattices is firstly studied. • The detailed derivation of the effective Hamiltonian in the system is presented. The observation of the dynamic localization in shaken optical lattices is studied theoretically. We focus on the accessibility to detect the dynamic localization through the miniband formed by the dipole-forbidden transition ${}^1{S}_0$-${}^3{P}_0$ of ultracold ⁸⁷Sr atoms loaded in shaken optical lattices. Particularly, we propose an easily-manipulated shaking method, and present the corresponding effective time-periodic field for this shaking protocol in theory. The detailed experimental conditions to observe the dynamic localization are calculated for different shaking methods. By careful comparisons with other two traditional shaking protocols, we conclude that the new method is totally realizable in addition to easily-manipulated in such system.