Magic wavelengths for the $6s^2{}^1{S}_0-6s6p{}^3{P}_1^o$ transition in ytterbium atom

Abstract

The static and dynamic electric-dipole polarizabilities of the $6s^2{}^1{S}_0$ and $6s6p{}^3{P}_1^o$ states of Yb are calculated by using the relativistic ab initio method. Focusing on the red detuning region to the $6s^2{}^1{S}_0-6s6p{}^3{P}_1^o$ transition, we find two magic wavelengths at 1035.7(2) nm and 612.9(2) nm for the $6s^2{}^1{S}_0-6s6p{}^3{P}_1^o,M_J=0$ transition and three magic wavelengthes at 1517.68(6) nm, 1036.0(3) nm and 858(12) nm for the $6s^2{}^1{S}_0-6s6p{}^3{P}_1^o,M_J=\pm 1$ transitions. Such magic wavelengths are of particular interest for attaining the state-insensitive cooling, trapping, and quantum manipulation of neutral Yb atom.

13 pages, 3 figures