Dynamic polarizabilities and related properties of clock states of ytterbium atom

Abstract

We carry out relativistic many-body calculations of the static and dynamic dipole polarizabilities of the ground $6s^2 ^1S_0$ and the first excited $6s6p^3{P}_0^o$ states of Yb. With these polarizabilities, we compute several properties of Yb relevant to optical lattice clocks operating on the $6s^2 ^1S_0 - 6s6p ^3P^o_0$ transition. We determine (i) the first four {\em magic} wavelengths of the laser field for which the frequency of the clock transition is insensitive to the laser intensity. While the first magic wavelength is known, we predict the second, the third and the forth magic wavelengths to be 551 nm, 465 nm, and 413 nm. (ii) We reevaluate the effect of black-body radiation on the frequency of the clock transition, the resulting clock shift at $T=300\mathrm{K}$ being $-1.41(17)$ Hz. (iii) We compute long-range interatomic van der Waals coefficients (in a.u.) $C_6(6s^2 ^1S_0 +6s^2 ^1S_0) = 1909(160)$, $C_6(6s^2 ^1S_0 + 6s6p ^3P_0) =2709(338) $, and $C_6(6s6p^3{P}_0+6s6p^3{P}_0)=3886(360)$. Finally, we determine the atom-wall interaction coefficients (in a.u.), $C_3 (6s^2 ^1S_0) =3.34$ and $C_3(6s6p^3{P}_0)=3.68$. We also address and resolve a disagreement between previous calculations of the static polarizability of the ground state.

11 pages, 1 figure

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• Quantum computing with alkaline earth atoms
• Multipolar theory of black-body radiation shift of atomic energy levels and its implications for optical lattice clocks
• Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths
• Observation of a Large Atomic Parity Violation Effect in Ytterbium
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• All-Optical Formation of Quantum Degenerate Mixtures
• Frequency evaluation of the doubly forbidden ${}^1{S}_0{\to }^3{P}_0$ transition in bosonic ${}^{174}$Yb
• Core-valence correlations for atoms with open shells
• Mapping out atom-wall interaction with atomic clocks
• Magic-wave-induced ${}^1{S}_0{-}^3{P}_0$ transition in even isotopes of alkaline-earth-like atoms

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