A strontium lattice clock with $3\times 10^{-17}$ inaccuracy and its frequency

Abstract

We have measured the absolute frequency of the optical lattice clock based on ${}^{87}$Sr at PTB with an uncertainty of $3.9\times 10^{-16}$ using two caesium fountain clocks. This is close to the accuracy of today's best realizations of the SI second. The absolute frequency of the 5s${}^2$ ${}^1$S${}_0$-5s5p ${}^3$P${}_0$ transition in ${}^{87}$Sr is 429,228,004,229,873.13(17) Hz. Our result is in excellent agreement with recent measurements performed in different laboratories worldwide. We improved the total systematic uncertainty of our Sr frequency standard by a factor of five and reach $3\times 10^{-17}$, opening new prospects for frequency ratio measurements between optical clocks for fundamental research, geodesy, or optical clock evaluation.

20 pages, 5 figures

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