Magic wavelengths for the np-ns transitions in alkali-metal atoms

TL;DR

This paper calculates magic wavelengths for alkali-metal atoms using advanced relativistic methods to identify wavelengths where atomic levels experience identical ac Stark shifts, aiding optical trapping.

Contribution

It introduces high-precision calculations of magic wavelengths for alkali-metal atoms using a relativistic all-order method for electric-dipole matrix elements.

Findings

Identified magic wavelengths for alkali-metal atoms.

Provided high-accuracy electric-dipole matrix elements.

Facilitated state-insensitive optical cooling and trapping.

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_1/2, np_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_1/2 and np_3/2 atomic levels have the same ac Stark shifts, which facilitates state-insensitive optical cooling and trapping.