### Session D1: Poster Session I (4:00 pm - 6:00 pm)

4:00 PM–4:00 PM, Tuesday, June 5, 2012
Room: Royal Ballroom

Abstract ID: BAPS.2012.DAMOP.D1.131

### Abstract: D1.00131 : Magic wavelengths and other properties of Li for optical cooling and trapping

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#### Authors:

Marianna Safronova
(University of Delaware)

Ulyana Safronova
Using first-principles calculations, we identify magic wavelengths $\lambda$ for the $2s-2p_{1/2}$, $2s-2p_{3/2}$, $2s-3p_{1/2}$, and $2s-2p_{3/2}$ transitions in Li. The $ns$ and $np_j$ atomic levels have the same ac Stark shifts at the corresponding magic wavelength, which facilitates state-insensitive optical cooling and trapping. Possible differences between the positions of magic wavelengths in $^6$Li and $^7$Li are investigated. Our approach uses high-precision, relativistic all-order method in which all single, double, and partial triple excitations of the Dirac-Fock wave functions are included to all orders of perturbation theory. Recommended values are provided for a large number of Li electric-dipole matrix elements. Trends of dynamic polarizabilities of the ground and $2p_j$, $3s$, and $3p_j$ states are investigated. Uncertainties of all recommended values are estimated. Implications of our results for optical cooling and trapping of Li are discussed.