Direct measurement of the frequency ratio for Hg and Yb optical lattice clocks and closure of the Hg/Yb/Sr loop

N Ohmae, F Bregolin, N Nemitz, H Katori - Optics Express, 2020 - opg.optica.org
Optics Express, 2020opg.optica.org
We performed the first direct measurement of the frequency ratio between a mercury (^
199Hg) and an ytterbium (^ 171Yb) optical lattice clock to find ν_Hg/ν_Yb= 2.177 473 194
134 565 07 (19) with the fractional uncertainty of 8.8× 10^− 17. The ratio is in excellent
agreement with expectations from the ratios ν_Hg/ν_Sr and ν_Yb/ν_Sr obtained previously
in comparisons against a strontium (^ 87Sr) optical lattice clock. The completed closure
(ν_Hg/ν_Yb)(ν_Yb/ν_Sr)(ν_Sr/ν_Hg)− 1= 0.4 (1.3)× 10^− 16 tests the frequency …
We performed the first direct measurement of the frequency ratio between a mercury (^199Hg) and an ytterbium (^171Yb) optical lattice clock to find ν_Hg/ν_Yb = 2.177 473 194 134 565 07(19) with the fractional uncertainty of 8.8 × 10^−17. The ratio is in excellent agreement with expectations from the ratios ν_Hg/ν_Sr and ν_Yb/ν_Sr obtained previously in comparisons against a strontium (^87Sr) optical lattice clock. The completed closure (ν_Hg/ν_Yb)(ν_Yb/ν_Sr)(ν_Sr/ν_Hg) − 1 = 0.4(1.3) × 10^−16 tests the frequency reproducibility of the optical lattice clocks beyond what is achievable in comparison against the current realization of the second in the International System of Units (SI).
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