Abstract
The static and dynamic electric dipole polarizabilities of the and states of Yb are calculated by using the relativistic ab initio method. Focusing on the red detuning region to the transition, we find two magic wavelengths at 1035.7(2) and 612.9(2) nm for the transition and three magic wavelengths at 1517.68(6), 1036.0(3) and 858(12) nm for the transitions. Such magic wavelengths are of particular interest for attaining the state-insensitive cooling, trapping, and quantum manipulation of neutral Yb atom.
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