An $^{115}$In$^+$-$^{172}$Yb$^+$ Coulomb crystal clock with $2.5\times10^{-18}$ systematic uncertainty

• URL: http://arxiv.org/abs/2402.16807v1
• Date: Mon, 26 Feb 2024 18:29:12 GMT
• Title: An $^{115}$In$^+$-$^{172}$Yb$^+$ Coulomb crystal clock with $2.5\times10^{-18}$ systematic uncertainty
• Authors: H. N. Hausser, J. Keller, T. Nordmann, N. M. Bhatt, J. Kiethe, H. Liu, M. von Boehn, J. Rahm, S. Weyers, E. Benkler, B. Lipphardt, S. Doerscher, K. Stahl, J. Klose, C. Lisdat, M. Filzinger, N. Huntemann, E. Peik, and T. E. Mehlst\"aubler
• Abstract summary: We present a scalable mixed-species Coulomb crystal clock based on the transition in $115$In$+$. We report on an absolute frequency measurement with an uncertainty of $1.3times10-16$ and optical frequency ratios relative to the $171$Yb$+$ (E3) and $87$Sr clock transitions. The latter are among the most precise measurements of frequency ratios to date and improve upon the previous uncertainty of the $115$In$+$/$87$Sr ratio by two orders of magnitude
• Score: 0.17403749729885287
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a scalable mixed-species Coulomb crystal clock based on the $^1S_0$ $\leftrightarrow$ $^3P_0$ transition in $^{115}$In$^+$. $^{172}$Yb$^+$ ions are co-trapped and used for sympathetic cooling. Reproducible interrogation conditions for mixed-species Coulomb crystals are ensured by a conditional preparation sequence with permutation control. We demonstrate clock operation with a 1In$^+$-3Yb$^+$ crystal, achieving a relative systematic uncertainty of $2.5\times10^{-18}$ and a relative frequency instability of $1.6\times10^{-15}/\sqrt{\tau/1\;s}$. We report on an absolute frequency measurement with an uncertainty of $1.3\times10^{-16}$ and optical frequency ratios relative to the $^{171}$Yb$^+$ (E3) and $^{87}$Sr clock transitions with fractional uncertainties of $4.4$ and $4.7$ parts in 10$^{18}$, respectively. The latter are among the most precise measurements of frequency ratios to date and improve upon the previous uncertainty of the $^{115}$In$^+$/$^{87}$Sr ratio by two orders of magnitude. We also demonstrate operation with four $^{115}$In$^+$ clock ions, which reduces the instability to $9.2\times10^{-16}/\sqrt{\tau/1\;s}$.

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