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Measurement

In-shield pre-operational calibration and error decoupling of gradient compensation coils in atomic comagnetometers via tensor eigen-decomposition

Senhua Lei, Xusheng Lei, Hao Xia, Haoying Pang

Published Sep 10, 2026• 0 citations
Publisher
DOI
10.1016/j.measurement.2026.123089

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We design and develop a high-performance magnetic shielding system for a long baseline fountain-type atom interferometer. The shielding system is achieved by a combination of passive shielding using permalloy and active compensation with coils. An 11.4 m-long three-layer cylindrical shield is completed by the process of welding, local annealing, and entire annealing. The active compensations compress the residual magnetic field to 8.0 nT max-to-min and the corresponding gradient below 30 nT/m over 10 m along the axial direction in which external compensation, internal compensation, and constant magnetic field (C-field) compensation reduce the inhomogeneities to 25.0, 12.6, and 1.7 nT (standard deviation) sequentially. We estimate that this system could reduce the systematic error of the quadratic Zeeman shift to the 10−13 level for the weak equivalence principle test with a simultaneous 85Rb–87Rb dual-species atom interferometer.
A dual-axis atomic comagnetometer can sense the angular rotation of two measurement axes simultaneously and independently. However, there is a cross-talk coupling effect between the two axes because of the residual magnetic field and the light shift arising from the pumping laser. Here, we propose a scheme to eliminate the rotation coupling of dual-axis K-Rb-N21e atomic comagnetometers. The residual magnetic field can be effectively removed by controlling the comagnetometer at the magnetic compensation point and the magnetic shielding layer. The light shift could be eliminated by using the K atom light shift to counteract the Rb atom light shift, in which the light shift of K atoms was optimized to the decoupling point by finely adjusting the pumping laser wavelength of the K D1 line. The feasibility and efficiency of this decoupling scheme have been experimentally verified. The output response of the coupling axis is reduced by two orders of magnitude compared to the sensitive axis. This scheme can also be applied to any atomic comagnetometer with hybrid optical pumping that experiences cross-talk coupling.
Magnetic field gradients affect numerous modern sensitive measurements and physics studies using atomic ensemble, resulting in the loss of coherence. In some cases, the presence of small gradients can reduce the performance significantly. In this study, we propose an effectivein situmethod to compensate the triaxial magnetic field gradient for atomic magnetometers, based on multichannel atomic signals in one vapor cell. We design two novel gradient coils by solving closed-form equations to improve the accuracy and efficiency of compensation. We demonstrate the performance of the compensation method in a spin-exchange relaxation-free atomic magnetometer, which reduces the magnetic linewidth by 4.2%–7.6% under the same conditions at a compensation resolution of 50 pT/cm. The proposed coils generate gradients only along two axes and achieve triaxial decoupling, which compensates for the gradient completely without iteration. Our results may aid in suppressing atomic spin relaxations due to magnetic field gradients in several modern measurements and improve their performance, such as the detection of electric dipole moments, ultralow-field nuclear magnetic resonance, and biomagnetism.