Hyperfine-mediated effects in a Lu$^+$ optical clock
- URL: http://arxiv.org/abs/2009.02889v1
- Date: Mon, 7 Sep 2020 05:05:10 GMT
- Title: Hyperfine-mediated effects in a Lu$^+$ optical clock
- Authors: Zhiqiang Zhang and K. J. Arnold and R. Kaewuam and M. S. Safronova and
M. D. Barrett
- Abstract summary: Mixing of fine structure levels due to the hyperfine interaction bring about modifications to Land'e $g$-factors and the quadrupole moment for a given state.
Explicit expressions are derived for both $g$-factor and quadrupole corrections.
- Score: 2.120436086790424
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 Land\'e $g$-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 $^1S_0$ and $^3D_1$ hyperfine levels are carried out, which provide an
experimental determination of the leading order correction terms.
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