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    Stern-Gerlach interferometry in three dimensions: The role of transverse fields

    D. Meng*, D. Z. Chan†,‡, and J. D. D. Martin§

    • *Contact author: d22meng@uwaterloo.ca
    • †Present address: Department of Physics, University of Oxford, Denys Wilkinson Building, Keble Road, Oxford OX1 3RH, United Kingdom.
    • ‡Contact author: darren.chan@physics.ox.ac.uk and dzchan@uwaterloo.ca
    • §Contact author: jddmartin@uwaterloo.ca

    Phys. Rev. A 113, 053311 – Published 13 May, 2026

    DOI: https://doi.org/10.1103/gl6g-vz6m

    Abstract

    We show that superficially similar implementations of Stern-Gerlach Interferometers (SGIs) are expected to differ dramatically in their sensitivity to fields transverse to the primary acceleration direction. These transverse fields unavoidably accompany any static magnetic or electric field gradients and have been shown by Comparat [Phys. Rev. A 101, 023606 (2020)] to limit the precision application of SGIs. As a concrete example, we consider SGIs with ultracold rubidium Rydberg atoms accelerated by spatially varying electric fields. We find that the deleterious effect of transverse fields imply that only some implementations (sequences of field gradients and internal state swaps) may exhibit fringes with high visibility.

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