We report the determination of the Landé
gJ factor and Zeeman coefficients for the ground-state of
171Yb
+, relevant to microwave quantum frequency standards (QFSs). The
gJ 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/
μT and 31.0869(22) mHz/
μT
2, respectively, based on the calculated
gJ factor. These coefficients enable reduced magnetic-field-induced uncertainties, improving the accuracy of the
171Yb
+ 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
171Yb
+.
We report the determination of the Land\'e
gJ factor and Zeeman coefficients for the ground-state of
171Yb+, relevant to microwave quantum frequency standards (QFSs). The
gJ factor is obtained by using two independent methods, the multiconfiguration Dirac-Hartree-Fock and multireference configuration-interaction methods, yielding a consistent value of
2.002615(70). The first- and second-order Zeeman coefficients are determined as $14\phantom{\rule{0.16em}{0ex}}010.78(49)\phantom{\rule{4pt}{0ex}}\mathrm{Hz}/\textmu{}\mathrm{T}$ and $31.0869(22)\phantom{\rule{4pt}{0ex}}\mathrm{mHz}/\textmu{}{\mathrm{T}}^{2}$, respectively, based on the calculated
gJ factor. These coefficients enable reduced magnetic-field-induced uncertainties, improving the accuracy of the
171Yb+ 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
171Yb+.
We report spectroscopic and time-resolved experimental observations to characterize the [ Xe ] 4 f 13 ( F 5 / 2 o 2 ) 5 d 6 s ( D 1 ) 1 [ 5 / 2 ] 5 / 2 o state in Yb + 172 ions. We access this state from the metastable 4 f 14 5 d ( D 3 / 2 , 5 / 2 2 ) manifold and observe an unexpectedly long lifetime of τ = 37.9 ( 9 ) µ s that allows visible Rabi oscillations and resolved-sideband spectroscopy. Using a combination of coherent population dynamics, high-fidelity detection and heralded state preparation, and optical pumping methods, we measure the branching ratios to the D 3 / 2 2 , D 5 / 2 2 , and S 1 / 2 2 states to be 0.359 ( 2 ) , 0.639(2), and 0.0023 ( 16 ) , respectively. The branching ratio to the 4 f 13 6 s 2 ( F 2 7 / 2 ) is compatible with zero within our experimental resolution. We also report measurements of Landé g -factor of the 1 [ 5