A simplified method for calculating the ac Stark shift of hyperfine levels of alkali-metal atoms

Abstract

The ac Stark shift of hyperfine levels of neutral atoms can be calculated using the third order perturbation theory (TOPT), where the third order corrections are quadratic in the atom-photon interaction and linear in the hyperfine interaction. In this paper, we use Green's function to derive the E [2+ ] method which can give close values to those of TOPT for the differential light shift between two hyperfine levels. It comes with a simple form and easy incorporation of theoretical and experimental atomic structure data. Furthermore, we analyze the order of approximation and give the condition under which E [2+ ] method is valid.

The ac Stark shifts of the terahertz clock transitions of barium

“…When carrying out our calculations, we assume the magnetic field to be zero and we also assume the trapping laser to have linear polarization, thus the effects of the magnetic field could be disregarded. We choose the boson isotope 138 Ba with the nuclear spin I = 0, thus the hyperfine structure [47] would not be taken into account during our calculations.…”

High-Fidelity and Robust Stimulated Raman Transition with Parameter-Modulated Optimal Control

“…Alternatively, the Stark-shift effect of the SRT process can be compensated by modifying the drive frequency following its amplitude, thus realizing highfidelity quantum transmission [29][30][31]. However, the compensation of the Stark shift [32] is usually complicated especially for complex driving amplitude, which is incompatible for further improving the robustness against different systematic errors.…”

Isolated structures in two-dimensional optical superlattice

“…In this paper, we propose several schemes to realize isolated structures in a 2D optical superlattice. The lattice potentials are calculated using the E [2+ ] method [19,20], which takes atom-photon interactions as well as hyperfine interactions into account and is therefore appropriate for computing the light shift of hyperfine energy levels. By overlapping the maxima of lattices, the isolated structures are created, while the interference of minima can generate various "sublattice" patterns.…”