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The static and dynamic electric-dipole polarizabilities of the $6s^2\,^1S_0$and $6s6p\,^3P_1^o$ states of Yb are calculated by using the relativistic abinitio method. Focusing on the red detuning region to the$6s^2\,^1S_0-6s6p\,^3P_1^o$ transition, we find two magic wavelengths at1035.7(2) nm and 612.9(2) nm for the $6s^2\,^1S_0-6s6p\,^3P_1^o, M_J=0$transition and three magic wavelengthes at 1517.68(6) nm, 1036.0(3) nm and858(12) nm for the $6s^2\,^1S_0-6s6p\,^3P_1^o, M_J=\pm1$ transitions. Suchmagic wavelengths are of particular interest for attaining thestate-insensitive cooling, trapping, and quantum manipulation of neutral Ybatom.Comment: 13 pages, 3 figure

journal of physics. conference series

Magic wavelengths for the 6s 2 1 S 0 - 6s6p 3 P 1 transition in ytterbium atom