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Accurate vector magnetometer via Zeeman Rabi oscillations

T. S. Menon1,2,*, D. P. Hewatt1,2, C. Kiehl1,2,†, M. Ellmeier3, S. Knappe3,4, and C. A. Regal1,2

  • *Contact author: thanmay.sunilmenon@colorado.edu
  • †Current address: ICFO—Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain.

Phys. Rev. Applied 26, 044073 – Published 23 October, 2026

DOI: https://doi.org/10.1103/ll3s-5fq9

Abstract

Accurate magnetic field direction sensing in compact platforms is critical in applications spanning magnetic navigation, space science, and biomedical imaging. We demonstrate a single-optical-axis vector optically pumped magnetometer based on Rabi oscillations between Zeeman sublevels driven by a series of resonant radiofrequency (rf) polarization ellipses (PEs). A calibration protocol based on controlled rotations of the dc magnetic field determines the spatial orientation of each PE. We develop a detailed theoretical model describing the angular dependence of the Rabi frequencies, incorporating key systematics including rf Stark shifts and Bloch-Siegert shifts. We also account for an rf-based heading-error systematic affecting Rabi-frequency measurements arising from the nonlinear Zeeman effect. Simultaneous Larmor measurements yield the magnitude of the magnetic field, enabling integrated vector-scalar measurements. The magnetometer achieves deadzone-free vector operation with 80  μrad mean angular accuracy and angular noise densities as low as 8  μrad/Hz, offering a pathway toward miniaturized sensors without requiring 3D optical access or sensor rotations.

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