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Physical Review A

Reply to ``Comment on `Ramsey spectroscopy, matter-wave interferometry, and the microwave-lensing frequency shift' ''

Kurt Gibble

Published Jun 18, 2015• 1 citation
Publisher

Abstract

The Comment by Jefferts et al. [Phys. Rev. A 91, 067601 (2015)] discusses the microwave-lensing frequency shift's possible dependence on the initial wave-packet size and two effects of wall interactions, the frequency shifts that they produce, and the nature of how dressed states are clipped by apertures. I identify conceptual errors in their criticisms, some of which are related to fundamental problems in their lensing treatment [Ashby et al., Phys. Rev. A 91, 033624 (2015)] for the NIST-F1 and NIST-F2 atomic clocks [K. Gibble, arXiv:1505.00691]. Aside from typesetting errors that they note, the criticisms in the Comment are shown to be incorrect.

DOI
10.1103/physreva.91.067602

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Publisher's Note: Ramsey spectroscopy, matter-wave interferometry, and the microwave-lensing frequency shift [Phys. Rev. A 90 , 015601 (2014)]

Kurt Gibble

Received 6 December 2017DOI:https://doi.org/10.1103/PhysRevA.96.069910©2017 American Physical Society

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The Comment by Jefferts et al. [Phys. Rev. A 91, 067601 (2015)] discusses the microwave-lensing frequency shift's possible dependence on the initial wave-packet size and two effects of wall interactions, the frequency shifts that they produce, and the nature of how dressed states are clipped by apertures. I identify conceptual errors in their criticisms, some of which are related to fundamental problems in their lensing treatment [Ashby et al., Phys. Rev. A 91, 033624 (2015)] for the NIST-F1 and NIST-F2 atomic clocks [K. Gibble, arXiv:1505.00691]. Aside from typesetting errors that they note, the criticisms in the Comment are shown to be incorrect.
We derive the general frequency shift of a microwave atomic clock due to resonant dipole forces acting on the atomic wave functions during the Ramsey interactions. We explicitly demonstrate that only dressed-state populations in position space contribute significantly to the frequency shift and that the de Broglie phases of the dressed-state wave functions do not contribute. In addition, we show that momentum changes in the second Ramsey interaction normally produce negligible frequency shifts in comparison to those from the first Ramsey interaction.