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Physical Review A

Reply to “Comment on ‘Perturbative operator approach to high-precision light-pulse atom interferometry' ”

Christian Ufrecht, Enno Giese

Published Aug 20, 2020• 1 citation
Publisher

Abstract

Recently, we introduced [C. Ufrecht and E. Giese, Phys. Rev. A 101, 053615 (2020)] a technique to calculate the phase of light-pulse atom interferometers caused by the presence of perturbation potentials and underlined its power by an illustrative example. In the preceding Comment [B. Dubetsky, Phys. Rev. A 102, 027301 (2020)], it was pointed out that other, less idealized situations could have been calculated as well. Our Reply emphasizes that our method is correct, the results from our example can be trivially generalized to other perturbations, and intricate effects of local environments can be even more prominent but also treated by our technique.

DOI
10.1103/physreva.102.027302

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Perturbative operator approach to high-precision light-pulse atom interferometry

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Comment on “Perturbative operator approach to high-precision light-pulse atom interferometry”

B. Dubetsky

An anomaly of the Earth's gravitational field could increase the second-order gravity-gradient tensor more than an order of magnitude and third-order gravity-gradient tensor more than four orders of magnitude. As a result an estimate of the systematic error in the atomic gravimetry considered in the article by Utrecht and Giese [Phys. Rev. A 101, 053615 (2020)] should be proportionally enlarged.

Physical Review A•Aug 20, 2020•1 citation
Recently, we introduced [C. Ufrecht and E. Giese, Phys. Rev. A 101, 053615 (2020)] a technique to calculate the phase of light-pulse atom interferometers caused by the presence of perturbation potentials and underlined its power by an illustrative example. In the preceding Comment [B. Dubetsky, Phys. Rev. A 102, 027301 (2020)], it was pointed out that other, less idealized situations could have been calculated as well. Our Reply emphasizes that our method is correct, the results from our example can be trivially generalized to other perturbations, and intricate effects of local environments can be even more prominent but also treated by our technique.
Light-pulse atom interferometers are powerful quantum sensors, however, their accuracy for example in tests of the weak equivalence principle is limited by various spurious influences like stray magnetic fields or blackbody radiation. Improving the accuracy therefore requires a detailed assessment of the size of such deleterious effects. Here we present a systematic operator expansion to obtain phase shift and contrast analytically in powers of a perturbation potential. The result can either be employed for robust straightforward order-of-magnitude estimates or for rigorous calculations. Together with general conditions for the validity of the approach, we provide a particularly useful formula for the phase including wave-packet effects.