Precise theory of the light shift in optical frequency standards

摘要

A general method is presented for calculating the higher-order terms of series in powers of the ac laser field for the Stark-state wavefunctions and corresponding frequency shifts of alkaline-earth atoms. It is based on the Green's function method for summation over all intermediate states. Numerical calculations of ac multipole polarizabilities and dipole hyperpolarizabilities for the light shift of 5s/sup 2/ /sup 1/S/sub 0/ - 5s5p /sup 3/P/sub 0/ (M/sub J/=0) transition frequency in /sup 87/Sr atoms have been performed in connection with precise measurements on cooled and trapped alkaline-earth atoms and the design of precise optical frequency standards.