On-line estimation of local oscillator noise and optimisation of servo parameters in atomic clocks

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Leroux, I.D.; Scharnhorst, N.; Hannig, S.; Kramer, J.; Pelzer, L. et al.: On-line estimation of local oscillator noise and optimisation of servo parameters in atomic clocks. In: Metrologia 54 (2017), Nr. 3, S. 307-321. DOI: https://doi.org/10.1088/1681-7575/aa66e9

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For atomic frequency standards in which fluctuations of the local oscillator (LO) frequency are the dominant noise source, we examine the role of the the servo algorithm that predicts and corrects these frequency fluctuations. We derive the optimal linear prediction algorithm, showing how to measure the relevant spectral properties of the noise and optimise servo parameters while the standard is running, using only the atomic error signal. We find that, for realistic LO noise spectra, a conventional integrating servo with a properly chosen gain performs nearly as well as the optimal linear predictor. Using simple analytical models and numerical simulations, we establish optimum probe times as a function of clock atom number and of the dominant noise type in the local oscillator. We calculate the resulting LO-dependent scaling of achievable clock stability with atom number for product states as well as for maximally-correlated states.
License of this version: CC BY 3.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2017
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 93 50.27%
2 image of flag of China China 29 15.68%
3 image of flag of United States United States 21 11.35%
4 image of flag of Netherlands Netherlands 12 6.49%
5 image of flag of Hong Kong Hong Kong 6 3.24%
6 image of flag of Russian Federation Russian Federation 4 2.16%
7 image of flag of No geo information available No geo information available 3 1.62%
8 image of flag of Spain Spain 2 1.08%
9 image of flag of Switzerland Switzerland 2 1.08%
10 image of flag of Czech Republic Czech Republic 1 0.54%
    other countries 12 6.49%

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