Stark effect of the cesium ground state: electric tensor polarizability and shift of the clock transition frequency

摘要

We present a theoretical analysis of the Stark effect in the hyperfinestructure of the cesium ground-state. We have used third order perturbationtheory, including diagonal and off-diagonal hyperfine interactions, and haveidentified terms which were not considered in earlier treatments. A numericalevaluation using perturbing levels up to n=18 yields new values for the tensorpolarizability $\alpha_2(6S_{1/2})$ and for the Stark shift of the clocktransition frequency in cesium. The polarizabilities are in good agreement withexperimental values, thereby removing a 40-year-old discrepancy. The clockshift value is in excellent agreement with a recent measurement, but incontradiction with the commonly accepted value used to correct the black-bodyshift of primary frequency standards.