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Falling Atoms
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abstract
Atomic fountain clocks launch laser-cooled balls of atoms upwards to some height $h$ in the local gravitational field where they experience both second-order Doppler shifts and gravitational frequency shifts. It is shown in this paper that the net shift, relative to a reference at the launch point, is $ g h/3 c^2$. We derive the next most significant correction to this expression, and show that the value of $g$ should be corrected for Coriolis and centripetal effects.
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Cited by 1 Pith paper
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Absolute frequency measurement of the $^{176}$Lu$^+\,(^{3}\mathrm{D}_1)$ standard against the NRC-FCs2 fountain with $2.6\times10^{-16}$ uncertainty
The absolute frequency of the ¹⁷⁶Lu⁺ optical clock was measured against the NRC-FCs2 caesium fountain at 353,638,794,073,800.33(9) Hz with 2.6×10⁻¹⁶ fractional uncertainty.
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