Phase shift in atom interferometers: Corrections for nonquadratic potentials and finite-duration laser pulses

Year: 2019

Authors: Bertoldi A., Minardi F., Prevedelli M.

Autors Affiliation: Univ Bordeaux, LP2N, IOGS, CNRS UMR 5298, F-33400 Talence, France; CNR, INO, I-50019 Sesto Fiorentino, Italy; Univ Firenze, LENS, I-50019 Sesto Fiorentino, Italy; Univ Firenze, Dipartimento Fis & Astron, I-50019 Sesto Fiorentino, Italy; Univ Bologna, Dipartimento Fis & Astron, I-40127 Bologna, Italy

Abstract: We derive an expression for the phase shift of an atom interferometer in a gravitational field taking into account both the finite duration of the light pulses and the effect of a small perturbing potential added to a stronger uniform gravitational field, extending the well-known results for rectangular pulses and at most quadratic potentials. These refinements are necessary for a correct analysis of present-day high-resolution interferometers.

Journal/Review: PHYSICAL REVIEW A

Volume: 99 (3)      Pages from: 033619-1  to: 033619-10

More Information: We would like to thank B. Dubetsky for useful discussions, and B. Barrett, N. Gaaloul, and G. Lamporesi for a careful reading of the manuscript. A. B. acknowledges funding from Horizon 2020 QuantERA ERA-NET – Project TAIOL. M.P. acknowledges financial support from LAPHIA-IdEx Bordeaux.
KeyWords: WAVE BEAM-SPLITTERS; INERTIAL SENSORS; QUANTUM-THEORY; CONSTANT
DOI: 10.1103/PhysRevA.99.033619

Citations: 19
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