Magic wavelengths for thenp−nstransitions in alkali-metal atoms

Abstract

Extensive calculations of the electric-dipole matrix elements in alkali-metal atoms are conducted using the relativistic all-order method. This approach is a linearized version of the coupled-cluster method, which sums infinite sets of many-body perturbation theory terms. All allowed transitions between the lowest ns, np{sub 1/2}, np{sub 3/2} states and a large number of excited states are considered in these calculations and their accuracy is evaluated. The resulting electric-dipole matrix elements are used for the high-precision calculation of frequency-dependent polarizabilities of the excited states of alkali-metal atoms. We find 'magic' wavelengths in alkali-metal atoms for which the ns and np{sub 1/2} and np{sub 3/2} atomic levels have the same ac Stark shifts, which facilitates state-insensitive optical cooling and trapping.