Study On Dynamics In Shaken Optical Lattice System

In this paper,the dipole-forbidden transition 1S0-3P0 of ultracold 87Sr atoms and its dynamical localization in shaken optical lattices are studied the-oretically.When time period is introduced into ordinary optical lattice system,the shaken optical lattice is formed.The physical meaning of quasi-energy and two kinds of the calculation methods of quasi-energy are studied in the follow-ing.The use of differentials for propagators and matrix elements for extended Hamiltonian using numerical calculations are included.We focus on the experimental conditions to detect the dynamic localization in the optical lattices shaken by three different methods,including the frequency modulation of the second lattice light,the phase modulation by mounting the mirror,and especially a new modulation through the frequency modulations of both the incident and thus the reflecting lattice lights.The effective time-periodic field and other relating quantities for the three modulation method is derived.Finally,the paper introduces the effective tran-sition coefficient in the time-period system under three kinds of modulation methods,and obtains the realization condition of dynamic localization for three kinds of modulation methods.The domains of the modulation intensity,the modulation amplitude and the modulation frequency to observe the dynamic localization in the system are obtained based on the practical parameters.The careful comparisons of these parameters for different modulations is presented.Finally,we concluded that the new shaking methods has its advantage:being easily manipulated as well as realizable parameter domains in practical experimental conditions.