Frequency Response of Optically Pumped Magnetometer with Nonlinear Zeeman Effect

Optically pumped alkali atomic magnetometers based on measuring the Zeeman shifts of the atomic energy levels are widely used in many applications because of their low noise and cryogen-free operation. When alkali atomic magnetometers are operated in an unshielded geomagnetic environment, the nonlin...

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Main Authors: Rui Zhang, Teng Wu, Jingbiao Chen, Xiang Peng, Hong Guo
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/20/7031
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author Rui Zhang
Teng Wu
Jingbiao Chen
Xiang Peng
Hong Guo
author_facet Rui Zhang
Teng Wu
Jingbiao Chen
Xiang Peng
Hong Guo
author_sort Rui Zhang
collection DOAJ
description Optically pumped alkali atomic magnetometers based on measuring the Zeeman shifts of the atomic energy levels are widely used in many applications because of their low noise and cryogen-free operation. When alkali atomic magnetometers are operated in an unshielded geomagnetic environment, the nonlinear Zeeman effect may become non-negligible at high latitude and the Zeeman shifts are thus not linear to the strength of the magnetic field. The nonlinear Zeeman effect causes broadening and partial splitting of the magnetic resonant levels, and thus degrades the sensitivity of the alkali atomic magnetometers and causes heading error. In this work, we find that the nonlinear Zeeman effect also influences the frequency response of the alkali atomic magnetometer. We develop a model to quantitatively depict the frequency response of the alkali atomic magnetometer when the nonlinear Zeeman effect is non-negligible and verify the results experimentally in an amplitude-modulated Bell–Bloom cesium magnetometer. The proposed model provides general guidance on analyzing the frequency response of the alkali atomic magnetometer operating in the Earth’s magnetic field. Full and precise knowledge of the frequency response of the atomic magnetometer is important for the optimization of feedback control systems such as the closed-loop magnetometers and the active magnetic field stabilization with magnetometers. This work is thus important for the application of alkali atomic magnetometers in an unshielded geomagnetic environment.
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spelling doaj.art-3c7337a1c2b649e3b7cfd97823f584732023-11-20T16:33:10ZengMDPI AGApplied Sciences2076-34172020-10-011020703110.3390/app10207031Frequency Response of Optically Pumped Magnetometer with Nonlinear Zeeman EffectRui Zhang0Teng Wu1Jingbiao Chen2Xiang Peng3Hong Guo4College of Liberal Arts and Sciences, and Interdisciplinary Center for Quantum Information, National University of Defense Technology, Changsha 410073, ChinaState Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronics, and Center for Quantum Information Technology, Peking University, Beijing 100871, ChinaState Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronics, and Center for Quantum Information Technology, Peking University, Beijing 100871, ChinaState Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronics, and Center for Quantum Information Technology, Peking University, Beijing 100871, ChinaState Key Laboratory of Advanced Optical Communication Systems and Networks, Department of Electronics, and Center for Quantum Information Technology, Peking University, Beijing 100871, ChinaOptically pumped alkali atomic magnetometers based on measuring the Zeeman shifts of the atomic energy levels are widely used in many applications because of their low noise and cryogen-free operation. When alkali atomic magnetometers are operated in an unshielded geomagnetic environment, the nonlinear Zeeman effect may become non-negligible at high latitude and the Zeeman shifts are thus not linear to the strength of the magnetic field. The nonlinear Zeeman effect causes broadening and partial splitting of the magnetic resonant levels, and thus degrades the sensitivity of the alkali atomic magnetometers and causes heading error. In this work, we find that the nonlinear Zeeman effect also influences the frequency response of the alkali atomic magnetometer. We develop a model to quantitatively depict the frequency response of the alkali atomic magnetometer when the nonlinear Zeeman effect is non-negligible and verify the results experimentally in an amplitude-modulated Bell–Bloom cesium magnetometer. The proposed model provides general guidance on analyzing the frequency response of the alkali atomic magnetometer operating in the Earth’s magnetic field. Full and precise knowledge of the frequency response of the atomic magnetometer is important for the optimization of feedback control systems such as the closed-loop magnetometers and the active magnetic field stabilization with magnetometers. This work is thus important for the application of alkali atomic magnetometers in an unshielded geomagnetic environment.https://www.mdpi.com/2076-3417/10/20/7031frequency responsenonlinear Zeeman effectoptically pumped magnetometers
spellingShingle Rui Zhang
Teng Wu
Jingbiao Chen
Xiang Peng
Hong Guo
Frequency Response of Optically Pumped Magnetometer with Nonlinear Zeeman Effect
Applied Sciences
frequency response
nonlinear Zeeman effect
optically pumped magnetometers
title Frequency Response of Optically Pumped Magnetometer with Nonlinear Zeeman Effect
title_full Frequency Response of Optically Pumped Magnetometer with Nonlinear Zeeman Effect
title_fullStr Frequency Response of Optically Pumped Magnetometer with Nonlinear Zeeman Effect
title_full_unstemmed Frequency Response of Optically Pumped Magnetometer with Nonlinear Zeeman Effect
title_short Frequency Response of Optically Pumped Magnetometer with Nonlinear Zeeman Effect
title_sort frequency response of optically pumped magnetometer with nonlinear zeeman effect
topic frequency response
nonlinear Zeeman effect
optically pumped magnetometers
url https://www.mdpi.com/2076-3417/10/20/7031
work_keys_str_mv AT ruizhang frequencyresponseofopticallypumpedmagnetometerwithnonlinearzeemaneffect
AT tengwu frequencyresponseofopticallypumpedmagnetometerwithnonlinearzeemaneffect
AT jingbiaochen frequencyresponseofopticallypumpedmagnetometerwithnonlinearzeemaneffect
AT xiangpeng frequencyresponseofopticallypumpedmagnetometerwithnonlinearzeemaneffect
AT hongguo frequencyresponseofopticallypumpedmagnetometerwithnonlinearzeemaneffect