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Frequency Ratio of Al+and Hg+Single-Ion Optical Clocks; Metrology at the 17th Decimal Place
Open accessAbstract
Time has always had a special status in physics because of its fundamental role in specifying the regularities of nature and because of the extraordinary precision with which it can be measured. This precision enables tests of fundamental physics and cosmology, as well as practical applications such as satellite navigation. Recently, a regime of operation for atomic clocks based on optical transitions has become possible, promising even higher performance. We report the frequency ratio of two optical atomic clocks with a fractional uncertainty of 5.2 × 10–17. The ratio of aluminum and mercury single-ion optical clock frequencies ν Al+/ν Hg+is 1.052871833148990438(55), where the uncertainty comprises a statistical measurement uncertainty of 4.3 × 10–17, and systematic uncertainties of 1.9 × 10–17 and 2.3 × 10–17 in the mercury and aluminum frequency standards, respectively. Repeated measurements during the past year yield a preliminary constraint on the temporal variation of the fine-structure constant α of\batchmode \documentclass[fleqn,10pt,legalpaper]{article} \usepackage{amssymb} \usepackage{amsfonts} \usepackage{amsmath} \pagestyle{empty} \begin{document} \({\dot{{\alpha}}}{/}{\alpha}=(-1.6{\pm}2.3){\times}10^{-17}{/}\mathrm{year}\) \end{document}.
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“Atomic clock experiments constrain the current variation of the fine structure constant, | α/α 0 | < 10 -17 yr -1 [13]”
From Stress-energy tensor of a scalar field on a product spacetime with a time-dependent compact dimension (2026) · cites this paper as [13]
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Experimental — accuracy not yet measuredIn the citing paper
“d dt ln m Hg m Al ¼ ð5:3 Æ 7:9Þ Â 10 À17 yr À1 :ð131Þ”
From Fundamental constants: from measurement to the universe, a window on gravitation and cosmology (2025) · cites this paper as Rosenband et al. 2008
In the citing paper
“_ a EM =a EM ¼ ðÀ1:6 Æ 2:3Þ Â 10 À17 yr À1 on a EM alone”
From Fundamental constants: from measurement to the universe, a window on gravitation and cosmology (2025) · cites this paper as Rosenband et al. 2008
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“…weaker than Oklo’s, which is the most stringent constraint on α’s time variation up to date (Uzan 2010; Fujii et al. 2000)), and another found from measurements of the ratio of Al+ to Hg+ optical clock frequencies over a period of a year (Rosenband et al. 2008; Li et al. 2010)(see Table 6).”
BackgroundA simplified method for calculating the ac Stark shift of hyperfine levels of alkali-metal atoms
Xu, X., Qing, B., Chen, X., et al. (2015) · Physics Letters A · doi:10.1016/j.physleta.2015.03.024 · Cited by 4
Hunting for dark matter with ultra-stable fibre as frequency delay system
Yang, W., Li, D., Zhang, S., & Zhao, J. (2015) · Scientific Reports · doi:10.1038/srep11469 · Cited by 4
Time Trials for Fundamental Constants
Safronova, M. S. (2014) · Physics · doi:10.1103/physics.7.117 · Cited by 4
Direct measurement of loop gain and bandwidth of phase-locked loop for mode-locked laser
Hou, D., Tian, J., Sun, F., et al. (2016) · Optics Express · doi:10.1364/oe.24.017242 · Cited by 4
Studying fundamental physics using quantum enabled technologies with trapped molecular ions
Segal, D. M., Lorent, V., Dubessy, R., & Darquié, B. (2017) · Journal of Modern Optics · doi:10.1080/09500340.2017.1402962 · Cited by 4
Precision locking CW laser to ultrastable optical frequency comb by feed-forward method
Shao, X., Han, H., Su, Y., et al. (2019) · AIP Advances · doi:10.1063/1.5121860 · Cited by 4
Unresolved sideband photon recoil spectroscopy of molecular ions
Clausen, E. H., Jarlaud, V., Fisher, K., et al. (2022) · Physical Review A · doi:10.1103/physreva.105.063709 · Cited by 4
Hidaka, H. (2020) · Minerals · doi:10.3390/min10121060 · Cited by 4
“On the other hand, regarding the fine structure constants, α and αs, several approaches have been examined, including the isotopic balance of 187Re-187Os decay systematics in terrestrial materials [38], adsorption of quasar spectra by gas clouds from the observation using Very Large Telescope [39], and comparison of t…”
MethodHan, L., Fang, F., Chen, W., Liu, K., Dai, S., Zuo, Y., & Li, T. (2021) · Chinese Physics B · doi:10.1088/1674-1056/abe22a · Cited by 4
Guan, H., Zhang, B., Zhang, H., Huang, Y., Hao, Y., Zeng, M., & Gao, K. (2021) · AVS Quantum Science · doi:10.1116/5.0056771 · Cited by 4
A self-reference direct-measuring scheme for precision optical frequency ratio measurement
Fang, P., Sun, H., Wang, Y., Xu, Y., & Chen, Q. (2022) · Applied Physics B · doi:10.1007/s00340-022-07794-y · Cited by 4
Paul, A., & Paban, S. (2026) · Journal of High Energy Physics · doi:10.1007/jhep09(2026)188
Metadata
- Authors
- Rosenband, T., Hume, D. B., Schmidt, P. O., Chou, C. W., Brusch, A., Lorini, L., Oskay, W. H., Drullinger, R. E., Fortier, T. M., Stalnaker, J. E., Diddams, S. A., Swann, W. C., Newbury, N. R., Itano, W. M., Wineland, D. J., & Bergquist, J. C.
- Affiliations
- National Institute of Standards and Technology (US)
- Corresponding author
- Rosenband, T.
- Schmidt, P. O.
- Lorini, L.
- Oskay, W. H.
- Stalnaker, J. E.
- ORCID
- Venue
- Science
- Published
- 2008-03-28
- Volume
- 319
- Issue
- 5871
- Pages
- 1808-1812
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W1997269293
- Cited by
- 1,450
- References
- 31
- Citations by year
- 2026: 27 · 2025: 62 · 2024: 52 · 2023: 44 · 2022: 43 · 2021: 50 · 2020: 60 · 2019: 78 · 2018: 65 · 2017: 76 · 2016: 85 · 2015: 96 · 2014: 129 · 2013: 99 · 2012: 99
- FWCI
- 73.95
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Science (publishedVersion)
- PubMed (publishedVersion)
- CINECA IRIS Institutional Research Information System (IRIS Istituto Nazionale di Ricerca Metrologica) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Frequency and Time Standards
- Physical Sciences › Physics and Astronomy › Instrumentation › Scientific Measurement and Uncertainty Evaluation
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Atomic and Subatomic Physics Research
- Keywords
- optical atomic clocks, aluminum ions, mercury ions, frequency ratio, frequency metrology, fine-structure constant variation, systematic uncertainties
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