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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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In the citing paper
“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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Constraining massless dilaton theory at Solar system scales with the planetary ephemeris INPOP
Bernus, L., Minazzoli, O., Fienga, A., Hees, A., Gastineau, M., Laskar, J., Deram, P., & Ruscio, A. D. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.105.044057 · Cited by 10
Compact, Ti:sapphire-based, methane-stabilized optical molecular frequency comb and clock
Benedick, A. J., Tyurikov, D. A., Gubin, M. A., et al. (2009) · Optics Letters · doi:10.1364/ol.34.002168 · Cited by 10
Optically induced structural phase transitions in ion Coulomb crystals
Horák, P., Dantan, A., & Drewsen, M. (2012) · Physical Review A · doi:10.1103/physreva.86.043435 · Cited by 13
Stable transfer of an optical frequency standard via a 46 km optical fiber
Mullavey, A. J., Slagmolen, B. J. J., Shaddock, D. A., et al. (2010) · Optics Express · doi:10.1364/oe.18.005213 · Cited by 10
An optical beam frequency reference with 10−14 range frequency instability
McFerran, J. J., Hartnett, J. G., & Luiten, A. N. (2009) · Applied Physics Letters · doi:10.1063/1.3184578 · Cited by 10
Testing spatial α-variation with optical atomic clocks based on highly charged ions
Berengut, J. C., Flambaum, V. V., & Ong, A. (2013) · EPJ Web of Conferences · doi:10.1051/epjconf/20135702001 · Cited by 10
The Quantum Hourglass: approaching time measurement with quantum information theory
Erker, P. (2014) · Repository for Publications and Research Data (ETH Zurich) · doi:10.3929/ethz-a-010514644 · Cited by 12
Cosmological and astrophysical constraints on tachyon dark energy models
Martins, C. J. A. P., & Moucherek, F. M. O. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.93.123524 · Cited by 10
Attosecond-Resolution Er:Fiber-Based Optical Frequency Comb
Yan, L., Zhang, Y., Zhang, L., Fan, S., Zhang, X.-F., Guo, W., Zhang, S., & Jiang, H. (2015) · Chinese Physics Letters · doi:10.1088/0256-307x/32/10/104207 · Cited by 10
[C i], [C ii] and CO emission lines as a probe for α variations at low and high redshifts
Levshakov, S. A., Ng, K., Henkel, C., & Mookerjea, B. (2017) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stx1782 · Cited by 10
“The atomic clock measurements at time scales of the order of one year restrict the temporal rate of change in α at the level of α̇/α < 10−17 yr−1 (Godun et al. 2014; Leefer et al. 2013; Rosenband et al. 2008).”
BackgroundKonovalova, E. A., Demidov, Y. A., & Stolyarov, A. V. (2018) · Optics and Spectroscopy · doi:10.1134/s0030400x18100107 · Cited by 10
Continuous-wave femtosecond lasers
Крюков, П. Г. (2013) · Uspekhi Fizicheskih Nauk · doi:10.3367/ufnr.0183.201309a.0897 · Cited by 10
Constraints on extended Bekenstein models from cosmological, astrophysical, and local data
Vacher, L., Dias, J. D. F., Schöneberg, N., Martins, C. J. A. P., Vinzl, S., Nesseris, S., Cañas-Herrera, G., & Martinelli, M. (2022) · Physical Review D · doi:10.1103/physrevd.106.083522 · Cited by 5
“III (hereafter noted ‘Current’) and a second one removing the MICROSCOPE prior and replacing our atomic-clock likelihood by the one used in [17] and originally obtained in [36] (hereafter noted ‘Alves’).”
MethodIdeal multipole ion traps from planar ring electrodes
Clark, R. (2013) · Applied Physics B · doi:10.1007/s00340-013-5451-0 · Cited by 11
Generation of high-frequency combs locked to atomic resonances by quantum phase modulation
Liu, Z., Ott, C., Cavaletto, S. M., Harman, Z., Keitel, C. H., & Pfeifer, T. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/9/093005 · Cited by 10
Quantum Information Processing with Trapped Ions
Roos, C. F. (2014) · Springer tracts in modern physics · doi:10.1007/978-3-642-45201-7_8 · Cited by 10
Precision spectroscopy with 40 Ca + ions in a Paul trap
Chwalla, M. (2009) · Cited by 12
Precise Radio Frequency Dissemination via Simulated 3000-km Fiber Re-Circulating Loop
Qian, C., Wang, C., Li, S., & Zhao, J. (2017) · IEEE Photonics Technology Letters · doi:10.1109/lpt.2017.2737040 · Cited by 10
“The optical clock [1], measurement of the basic physics constant [2], and the Square Kilometer Array (SKA) [3] resulted in higher requirements for frequency precision.”
Background
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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