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arXiv · 2201.06719

Determination of hyperfine splittings and Land\'{e} $g_J$ factors of $5s~^2S_{1/2}$ and $5p~^2P_{1/2,3/2}$ states of $^{111,113}$Cd$^+$ for a microwave frequency standard

J. Z. Han·R. Si·H. R. Qin·N. C. Xin·Y. T. Chen·S. N. Miao·C. Y. Chen·J. W. Zhang·L. J. Wang
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Abstract

Regarding trapped-ion microwave-frequency standards, we report on the determination of hyperfine splittings and Land\'{e} $g_J$ factors of $^{111,113}$Cd$^+$. The hyperfine splittings of the $5p~^2P_{3/2}$ state of $^{111,113}$Cd$^+$ ions were measured using laser-induced fluorescence spectroscopy. The Cd$^+$ ions were confined in a linear Paul trap and sympathetically cooled by Ca$^+$ ions. Furthermore, the hyperfine splittings and Land\'{e} $g_J$ factors of the $5s~^2S_{1/2}$ and $5p~^2P_{1/2,3/2}$ levels of $^{111,113}$Cd$^+$ were calculated with greater accuracy using the multiconfiguration Dirac--Hartree--Fock scheme. The measured hyperfine splittings and the Dirac--Hartree--Fock calculation values were cross-checked, thereby further guaranteeing the reliability of our results. The results provided in this work can improve the signal-to-noise ratio of the clock transition and the accuracy of the second-order Zeeman shift correction, and subsequently the stability and accuracy of the microwave frequency standard based on trapped Cd$^+$ ions.

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J. Z. Han, R. Si, H. R. Qin, N. C. Xin, Y. T. Chen, S. N. Miao, C. Y. Chen, J. W. Zhang, L. J. Wang. 2022-01-18. Determination of hyperfine splittings and Land\'{e} $g_J$ factors of $5s~^2S_{1/2}$ and $5p~^2P_{1/2,3/2}$ states of $^{111,113}$Cd$^+$ for a microwave frequency standard. https://doi.org/10.1103/physreva.106.012821

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