Hyperfine-mediated effects in a Lu${}^{+}$ optical clock

Abstract

We consider hyperfine-mediated effects for clock transitions in ${}^{176}$Lu${}^{+}$. Mixing of fine structure levels due to the hyperfine interaction bring about modifications to Landé $g$-factors and the quadrupole moment for a given state. Explicit expressions are derived for both $g$-factor and quadrupole corrections, for which leading order terms arise from the nuclear magnetic dipole coupling. High accuracy measurements of the $g$-factors for the ${}^1{S}_0$ and ${}^3{D}_1$ hyperfine levels are carried out, which provide an experimental determination of the leading order correction terms.

9 pages 3 figures

References in corpus (2)

• Hyperfine structure of the metastable 3P2 state of alkaline earth atoms as an accurate probe of nuclear magnetic octupole moments
• Hyperfine averaging by dynamic decoupling in a multi-ion lutetium clock