Evaluation of a $^{88}$Sr$^+$ optical clock with a direct measurement of
the blackbody radiation shift and determination of the clock frequency
- URL: http://arxiv.org/abs/2212.08687v1
- Date: Fri, 16 Dec 2022 19:30:03 GMT
- Title: Evaluation of a $^{88}$Sr$^+$ optical clock with a direct measurement of
the blackbody radiation shift and determination of the clock frequency
- Authors: M. Steinel, H. Shao, M. Filzinger, B. Lipphardt, M. Brinkmann, A.
Didier, T. E. Mehlst\"aubler, T. Lindvall, E. Peik, and N. Huntemann
- Abstract summary: We measure the clock output frequency against an independent $171$Yb$+$ ion clock.
We find the absolute frequency of the $88$Sr$+$ clock transition to be $444779044095485.271(59),textHz$.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We report on an evaluation of an optical clock that uses the
$\phantom{}^2S_{1/2} \rightarrow \phantom{}^2D_{5/2}$ transition of a single
$^{88}$Sr$^+$ ion as the reference. In contrast to previous work, we estimate
the effective temperature of the blackbody radiation that shifts the reference
transition directly during operation from the corresponding frequency shift and
the well-characterized sensitivity to thermal radiation. We measure the clock
output frequency against an independent $^{171}$Yb$^+$ ion clock, based on the
$\phantom{}^2S_{1/2} (F=0) \rightarrow \phantom{}^2F_{7/2} (F=3)$ electric
octupole (E3) transition, and determine the frequency ratio with a total
fractional uncertainty of $2.3\times 10^{-17}$. Relying on a previous
measurement of the $^{171}$Yb$^+$ (E3) clock frequency, we find the absolute
frequency of the $^{88}$Sr$^+$ clock transition to be
$444779044095485.271(59)\,\text{Hz}$. Our result reduces the uncertainty by a
factor of $3$ compared to the previously most accurate measurement and may help
to resolve so far inconsistent determinations of this value. We also show that
for three simultaneously interrogated $^{88}$Sr$^+$ ions, the increased number
causes the expected improvement of the short-term frequency instability of the
optical clock without degrading its systematic uncertainty.
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