Bloch-Siegert shift under a bias magnetic field along arbitrary direction

In order to reduce the measuring error of magnetic resonance frequency caused by Bloch-Siegert shift, and improve the measurement accuracy of optical pumped alkali-metal magnetometers, the Bloch-Siegert shift is studied under a bias magnetic field in any direction. In this condition, the evolution e...

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Main Authors: Zhichao Ding, Weipeng Wang
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Results in Physics
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Online Access:http://www.sciencedirect.com/science/article/pii/S2211379724007708
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author Zhichao Ding
Weipeng Wang
author_facet Zhichao Ding
Weipeng Wang
author_sort Zhichao Ding
collection DOAJ
description In order to reduce the measuring error of magnetic resonance frequency caused by Bloch-Siegert shift, and improve the measurement accuracy of optical pumped alkali-metal magnetometers, the Bloch-Siegert shift is studied under a bias magnetic field in any direction. In this condition, the evolution equation of atomic spin is deduced. Based on the numerical solution of this equation, a method for extracting the Bloch-Siegert shift is proposed, which avoids the difficulty in achieving the analytical solution of the evolution equation. The numerical and analytical solutions of the evolution equation under special conditions are compared, verifying the rationality and necessity of using the numerical solution instead of approximate analytical solution to study the Bloch-Siegert shift under the bias magnetic field in any direction. By studying the Bloch-Siegert shift under different conditions, the typical conditions are selected and the Bloch-Siegert shift is numerically calculated when the bias magnetic field is in different directions. Through the analysis and verification of the calculation results, a theoretical model of the Bloch-Siegert shift under the bias magnetic field in any direction is obtained. This model is of great significance for correcting and reducing the measurement error of optical pumped alkali-metal magnetometers.
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spelling doaj-art-c44bd9fe415a42d98528eb2cef177fb62025-01-18T05:04:31ZengElsevierResults in Physics2211-37972025-01-0168108085Bloch-Siegert shift under a bias magnetic field along arbitrary directionZhichao Ding0Weipeng Wang1Corresponding author.; Naval University of Engineering, Wuhan 430033, ChinaNaval University of Engineering, Wuhan 430033, ChinaIn order to reduce the measuring error of magnetic resonance frequency caused by Bloch-Siegert shift, and improve the measurement accuracy of optical pumped alkali-metal magnetometers, the Bloch-Siegert shift is studied under a bias magnetic field in any direction. In this condition, the evolution equation of atomic spin is deduced. Based on the numerical solution of this equation, a method for extracting the Bloch-Siegert shift is proposed, which avoids the difficulty in achieving the analytical solution of the evolution equation. The numerical and analytical solutions of the evolution equation under special conditions are compared, verifying the rationality and necessity of using the numerical solution instead of approximate analytical solution to study the Bloch-Siegert shift under the bias magnetic field in any direction. By studying the Bloch-Siegert shift under different conditions, the typical conditions are selected and the Bloch-Siegert shift is numerically calculated when the bias magnetic field is in different directions. Through the analysis and verification of the calculation results, a theoretical model of the Bloch-Siegert shift under the bias magnetic field in any direction is obtained. This model is of great significance for correcting and reducing the measurement error of optical pumped alkali-metal magnetometers.http://www.sciencedirect.com/science/article/pii/S2211379724007708Bloch-Siegert shiftAlkali atomsMagnetic resonance frequency
spellingShingle Zhichao Ding
Weipeng Wang
Bloch-Siegert shift under a bias magnetic field along arbitrary direction
Results in Physics
Bloch-Siegert shift
Alkali atoms
Magnetic resonance frequency
title Bloch-Siegert shift under a bias magnetic field along arbitrary direction
title_full Bloch-Siegert shift under a bias magnetic field along arbitrary direction
title_fullStr Bloch-Siegert shift under a bias magnetic field along arbitrary direction
title_full_unstemmed Bloch-Siegert shift under a bias magnetic field along arbitrary direction
title_short Bloch-Siegert shift under a bias magnetic field along arbitrary direction
title_sort bloch siegert shift under a bias magnetic field along arbitrary direction
topic Bloch-Siegert shift
Alkali atoms
Magnetic resonance frequency
url http://www.sciencedirect.com/science/article/pii/S2211379724007708
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AT weipengwang blochsiegertshiftunderabiasmagneticfieldalongarbitrarydirection