Dynamic multipolar polarizabilities and hyperpolarizabilities of the Sr lattice clock

Abstract

The progress in optical clock with uncertainty at a level of $10^{-18}$ requires unprecedented precision in estimating the contribution of multipolar and higher-order effects of atom-field interactions. Current theoretical and experimental results of dynamic multipolar polarizabilities and hyperpolarizabilities at the magic wavelength for the Sr clock differ substantially. We develop a combined approach of the Dirac-Fock plus core polarization (DFCP) and relativistic configuration interaction (RCI) methods to calculate dynamic multipolar polarizabilities and hyperpolarizabilities of the Sr atom. Our differential dynamic hyperpolarizability at the magic wavelength is $-2.09(43)\times 10^7$ a.u., which is consistent with the existing theoretical and experimental results. Our differential multipolar polarizability is $2.68(94)\times 10^{-5}$ a.u., which validates independently the theoretical work of Porsev {\em et al.} [Phys. Rev. Lett. 120, 063204 (2018)], but different from recent measurement of Ushijima {\em et al.} [Phys. Rev. Lett. 121, 263202 (2018)].

arXiv comment7 pages, 2 figures, Comments and suggestions are welcome!

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Cited by in corpus (5)

• Evaluation of lattice light shift at low 10${}^{-19}$ uncertainty for a shallow lattice Sr optical clock
• Modeling motional energy spectra and lattice light shifts in optical lattice clocks
• Be optical lattice clocks with the fractional Stark shift up to the level of 10${}^{-19}$
• Magic intensity trapping of the Mg lattice clock with light shift suppressed below $10^{-19}$
• Relativistic hyperpolarizabilities for atomic H, Li, and Be${}^{+}$ systems