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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
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“_ 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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Resonant interaction of a single atom with single photons from a down-conversion source
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Troyan, V. I., Borisyuk, P. V., Khalitov, R. R., Krasavin, A. V., Lebedinskiǐ, Y. Y., Pal'chikov, V. G., Poteshin, S. S., Sysoev, A. A., & Yakovlev, V. P. (2013) · Laser Physics Letters · doi:10.1088/1612-2011/10/10/105301 · Cited by 21
Versolato, O. O., Wansbeek, L. W., Jungmann, K. P., Timmermans, R. G. E., Willmann, L., & Wilschut, H. W. (2011) · Physical Review A · doi:10.1103/physreva.83.043829 · Cited by 21
Versolato, O. O., Wansbeek, L. W., Giri, G. S., van den Berg, J. E., Hoek, D. J., Jungmann, K. P., Kruithof, W. L., Onderwater, C. J. G., Sahoo, B. K., Santra, B., et al. (2011) · Canadian Journal of Physics · doi:10.1139/p10-051 · Cited by 21
Cosmological evolution of fundamental constants: From theory to experiment
Calmet, X., & Keller, M. (2015) · Modern Physics Letters A · doi:10.1142/s0217732315400283 · Cited by 22
Fine-structure constant constraints on dark energy. II. Extending the parameter space
Martins, C. J. A. P., Pinho, A. M., Carreira, P., Gusart, A., López, J., & Rocha, C. I. S. A. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.93.023506 · Cited by 21
Ohtsubo, N., Li, Y., Matsubara, K., Ido, T., & Hayasaka, K. (2017) · Optics Express · doi:10.1364/oe.25.011725 · Cited by 21
“In the implementation with single ions, the optical frequencies have been reported so far with (171)Yb[3, 4], (88)Sr[5, 6], (40)Ca[7–9], (199)Hg[10], (27)Al[11], (115)In[12, 13].”
MethodDeuteron charge radius from the Lamb-shift measurement in muonic deuterium
Kalinowski, M. W. (2019) · Physical Review A · doi:10.1103/physreva.99.030501 · Cited by 21
Dong, B., de Labriolle, X. C., Liu, S., Dumont, M., Huang, H., Duan, J., Norman, J., Bowers, J. E., & Grillot, F. (2020) · Journal of Physics Photonics · doi:10.1088/2515-7647/aba5a6 · Cited by 21
Martins, C. J. A. P., Pinho, A. M. M., Alves, R. F. C., Pino, M., Rocha, C. I. S. A., & von Wietersheim-Kramsta, M. (2015) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2015/08/047 · Cited by 21
Searching for new physics through atomic, molecular and optical precision measurements
Orzel, C. (2012) · Physica Scripta · doi:10.1088/0031-8949/86/06/068101 · Cited by 19
Active disturbance rejection control of temperature for ultrastable optical cavities
Pizzocaro, M., Calonico, D., Calosso, C. E., et al. (2013) · IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control · doi:10.1109/tuffc.2013.2563 · Cited by 20
“Ultra-stable optical cavities are a key component for realizing narrowlinewidth lasers used for high-resolution spectroscopy and optical atomic clocks [8], [9], tests of fundamental physics [10], generation of low-phase-noise microwave signals [11], frequency transfer via fiber links [12], [13], and gravitational wave…”
BackgroundAn approach to directly probe simultaneity
Kipreos, E. T., & Balachandran, R. S. (2016) · Modern Physics Letters A · doi:10.1142/s0217732316501571 · Cited by 21
850 nm GaAs/AlGaAs DFB lasers with shallow surface gratings and oxide aperture
Zhang, P., Liu, C., Xiang, M., et al. (2019) · Optics Express · doi:10.1364/oe.27.031225 · Cited by 20
He, L., Zhang, J., Wang, Z., Chang, J., Wu, Q., Lu, Z. H., & Zhang, J. (2023) · Optics Letters · doi:10.1364/ol.488195 · Cited by 20
Nagano, S., Ito, H., Li, Y., Matsubara, K., & Hosokawa, M. (2009) · Japanese Journal of Applied Physics · doi:10.1143/jjap.48.042301 · Cited by 20
Preliminary results of the trapped atom clock on a chip
Lacroûte, C., Reinhard, F., Ramírez-Martínez, F., et al. (2010) · IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control · doi:10.1109/tuffc.2010.1385 · Cited by 20
Ultraviolet continuous-wave laser source at 205nm for hydrogen spectroscopy
Galtier, S., Nez, F., Julien, L., et al. (2014) · Optics Communications · doi:10.1016/j.optcom.2014.03.018 · Cited by 20
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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