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arXiv · 2309.05323

Precise determination of ground-state hyperfine splitting and calculation of Zeeman coefficients for 171Yb+ microwave frequency standard

J. Z. Han·B. Q. Lu·N. C. Xin·Y. M. Yu·H. R. Qin·S. T. Chen·Y. Zheng·J. G. Li·J. W. Zhang·L. J. Wang
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Abstract

We report precise measurement of the hyperfine splitting and calculation of the Zeeman coefficients of the $^{171}$Yb$^+$ ground state. The absolute hyperfine splitting frequency is measured using high-resolution laser-microwave double-resonance spectroscopy at 0.1 mHz level, and evaluated using more accurate Zeeman coefficients. These Zeeman coefficients are derived using Land\'{e} $g_J$ factors calculated by two atomic-structure methods, multiconfiguration Dirac-Hartree-Fock, and multireference configuration interaction. The cross-check of the two calculations ensures an accuracy of the Zeeman coefficients at $10^{-2}$ Hz/G$^2$ level. The results provided in this paper improve the accuracy and reliability of the second-order Zeeman shift correction, thus further improving the accuracy of the microwave frequency standards based on $^{171}$Yb$^+$. The high-precision hyperfine splitting and Zeeman coefficients could also support could also support further experiments to improve the constraints of fundamental constants through clock frequency comparison of the Yb$^+$ system.

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J. Z. Han, B. Q. Lu, N. C. Xin, Y. M. Yu, H. R. Qin, S. T. Chen, Y. Zheng, J. G. Li, J. W. Zhang, L. J. Wang. 2023-09-11. Precise determination of ground-state hyperfine splitting and calculation of Zeeman coefficients for 171Yb+ microwave frequency standard. https://arxiv.org/abs/2309.05323

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