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Weyers","submitted_at":"2020-10-13T18:18:30Z","abstract_excerpt":"We compare two optical clocks based on the $^2$S$_{1/2}(F=0)\\to {}^2$D$_{3/2}(F=2)$ electric quadrupole (E2) and the $^2$S$_{1/2}(F=0)\\to {}^2$F$_{7/2}(F=3)$ electric octupole (E3) transition of $^{171}$Yb$^{+}$ and measure the frequency ratio $\\nu_{\\mathrm{E3}}/\\nu_{\\mathrm{E2}}=0.932\\,829\\,404\\,530\\,965\\,376(32)$. We determine the transition frequency $\\nu_{E3}=642\\,121\\,496\\,772\\,645.10(8)$ Hz using two caesium fountain clocks. Repeated measurements of both quantities over several years are analyzed for potential violations of local position invariance. 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