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arXiv · 2501.09973

Determination of Land\'{e} $g_J$ factor and Zeeman coefficients in ground-state $^{171}$Yb$^+$ and their applications to quantum frequency standards

Jize Han·Benquan Lu·Yanmei Yu·Jiguang Li·Zhiguo Huang·Jingwei Wen·Ling Qian·Lijun Wang
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Abstract

We report the determination of the Land\'{e} $g_J$ factor and Zeeman coefficients for the ground-state of $^{171}$Yb$^+$, relevant to microwave quantum frequency standards (QFSs). The $g_J$ factor is obtained by using two independent methods: multiconfiguration Dirac-Hartree-Fock and multireference configuration interaction, yielding a consistent value of 2.002615(70). The first- and second-order Zeeman coefficients are determined as 14,010.78(49) Hz/$\mu$T and 31.0869(22) mHz/$\mu$T$^2$, respectively, based on the calculated $g_J$ factor. These coefficients enable reduced magnetic-field-induced uncertainties, improving the accuracy of the $^{171}$Yb$^+$ microwave QFSs. The results reported in this work also offer potential for improved constraints on variations in fundamental constants through frequency comparisons, and advancing trapped-ion quantum computers based on the ground-state hyperfine splitting of $^{171}$Yb$^+$.

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Jize Han, Benquan Lu, Yanmei Yu, Jiguang Li, Zhiguo Huang, Jingwei Wen, Ling Qian, Lijun Wang. 2025-01-17. Determination of Land\'{e} $g_J$ factor and Zeeman coefficients in ground-state $^{171}$Yb$^+$ and their applications to quantum frequency standards. https://arxiv.org/abs/2501.09973

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