2016
DOI: 10.1088/0026-1394/53/2/899
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Microwave lensing frequency shift of the PHARAO laser-cooled microgravity atomic clock

Abstract: We evaluate the microwave lensing frequency shift of the microgravity laser-cooled caesium clock PHARAO. We find microwave lensing frequency shifts of δν/ν = 11 × 10 −17 to 13 × 10 −17 , larger than the shift of typical fountain clocks. The shift has a weak dependence on PHARAO parameters, including the atomic temperature, size of the atomic cloud, detection laser intensities, and the launch velocity. We also find the lensing frequency shift to be insensitive to selection and detection spatial inhomogeneities … Show more

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Cited by 9 publications
(31 citation statements)
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“…Several projects on space CACs, such as ACES, PARCS, and RACE, have been proposed in the last few decades 19 . For example, the ACES mission, which consists of a caesium CAC called PHARAO, a hydrogen maser, as well as a package for frequency comparisons and distribution, aims to search for drifts in fundamental constants and measure the gravitational red shift with improved precision 20 26 . The PHARAO clock is expected to operate in space with a frequency stability of 1.0 × 10 −13 τ −1/2 ( τ is the average time in second) and an accuracy below 3 × 10 −16 (ref.…”
Section: Introductionmentioning
confidence: 99%
“…Several projects on space CACs, such as ACES, PARCS, and RACE, have been proposed in the last few decades 19 . For example, the ACES mission, which consists of a caesium CAC called PHARAO, a hydrogen maser, as well as a package for frequency comparisons and distribution, aims to search for drifts in fundamental constants and measure the gravitational red shift with improved precision 20 26 . The PHARAO clock is expected to operate in space with a frequency stability of 1.0 × 10 −13 τ −1/2 ( τ is the average time in second) and an accuracy below 3 × 10 −16 (ref.…”
Section: Introductionmentioning
confidence: 99%
“…Because atoms in a fountain are localized to less than a microwave wavelength, the resonant microwave dipole forces do not yield resolved photon recoils, but instead act as weak focusing and defocusing lenses on the atom wave packets. The resulting shift depends on the clock geometry and is typically 6×10 17 to 9×10 17 for fountains [4][5][6][7][8]17], and larger for the microgravity clock PHARAO, 11.4×10 17 [22]. There is currently some controversy since the recent NIST treatment [16,18] predicts a much smaller shift, 1.6×10 17 , disagreeing with the prior results [4][5][6][7]17].…”
Section: Microwave Lensing Frequency Shiftsmentioning
confidence: 90%
“…We derive the microwave lensing frequency shift, including additional detection apertures, in appendix A. Near optimal microwave amplitude, b 1 ≈ 1, we get a very good approximation [48,55,57,58] to the full expression (A.2) if we neglect the small variation of the state detection in CSF1 and CSF2:…”
Section: Microwave Lensingmentioning
confidence: 94%
“…To calculate the microwave lensing frequency shifts of CSF1 and CSF2, we use their specific fountain parameters and geometries, as for the DCP calculations. The apertures that clip the atom cloud play a central role in the microwave lensing shift and, for CSF2, two detection apertures contribute in addition to the usual two restrictive apertures in most fountain clocks [48,55,57,58].…”
Section: Microwave Lensingmentioning
confidence: 99%
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