Measurement of the magnetic field profile in the atomic fountain clock FoCS-2 using Zeeman spectroscopy

Devenoges, Laurent; Domenico, G. Di; Stefanov, André; Jallageas, Antoine; Morel, Jacques; Südmeyer, Thomas; Thomann, P.

doi:10.1088/1681-7575/aa62d1

Cited by 8 publications

(3 citation statements)

References 19 publications

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“…This is not applicable to a continuous fountain since the atomic trajectory is not strictly vertical and therefore the launching velocity is constrained by the geometry of the set-up. In [26] we show that one can retrieve the time-averaged magnetic field B(T) and deduce the second-order Zeeman shift by time-resolved Zeeman spectroscopy. The basic idea is to measure the Zeeman frequency profile by exciting ∆F = 0, ∆m F = ±1 transitions.…”

Section: Second-order Zeeman Shiftmentioning

confidence: 96%

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First uncertainty evaluation of the FoCS-2 primary frequency standard

et al. 2018

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We report the uncertainty evaluation of the Swiss continuous primary frequency standard FoCS-2 (Fontaine Continue Suisse). Unlike other primary frequency standards which are working with clouds of cold atoms, this fountain uses a continuous beam of cold caesium atoms bringing a series of metrological advantages and specific techniques for the evaluation of the uncertainty budget. Recent improvements of FoCS-2 have made possible the evaluation of the frequency shifts and of their uncertainties in the order of 1 × 10 −15. When operating in an optimal regime a relative frequency instability of 8 × 10 −14 (τ /s) −1/2 is obtained. The relative standard uncertainty reported in this article, 1.99 × 10 −15 , is strongly dominated by the statistics of the frequency measurements.

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Section: Second-order Zeeman Shiftmentioning

confidence: 96%

“…As discussed in [26], the evaluation of the Zeeman shift is affected by the uncertainty on the magnetic field measurement. There are two contributions to the uncertainty.…”

Section: Second-order Zeeman Shiftmentioning

confidence: 99%

First uncertainty evaluation of the FoCS-2 primary frequency standard

et al. 2018

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“…One way of finding the magnetic field map is the low-frequency rf excitation method that exploits the Majorana transition. [1][2][3][4] An alternative way is to obtain averaged magnetic field values from Zeeman frequency data for various launching heights of the atoms. [5][6][7][8][9][10][11] Employing the rf excitation method, Jefferts et al measured the field distribution exactly, which was used to verify the Zeeman frequency variation against the atom's apogee height.…”

Section: Introductionmentioning

confidence: 99%

Inverse problem approach to evaluate quadratic Zeeman effect for an atomic fountain frequency standard KRISS-F1

Park¹,

Lee²,

Heo³

et al. 2021

Jpn. J. Appl. Phys.

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The evaluation of the quadratic Zeeman shift in atomic fountain frequency standards requires information on the magnetic field distribution along the drift region. Plotting Zeeman frequencies against various launching heights provides the temporally averaged magnetic field values seen by the flying atoms. Using those data, we were able to deduce a reasonable field map by taking the approach of solving an inverse problem. We employed a regularization method after establishing a linear set of equations. The analysis enabled us to evaluate the quadratic Zeeman shift and its uncertainty against various launching heights. Our method encompasses and generalizes the deconvolution method. This paper covers the mathematical tricks to solve the inverse problem and its application to the atomic fountain frequency standard KRISS-F1.

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