Formalism of rotating-wave approximation in high-spin system with quadrupole interaction

doi:10.1088/1674-1056/aca392

中国物理B ›› 2023, Vol. 32 ›› Issue (3): 30301-030301.doi: 10.1088/1674-1056/aca392

Formalism of rotating-wave approximation in high-spin system with quadrupole interaction

Wen-Kui Ding(丁文魁)^1,2,† and Xiao-Guang Wang(王晓光)^1,3,‡

1 Key Laboratory of Optical Field Manipulation of Zhejiang Province and Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China;
2 Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China;
3 Graduate School of China Academy of Engineering Physics, Beijing 100193, China

收稿日期:2022-06-02 修回日期:2022-09-09 接受日期:2022-11-17 出版日期:2023-02-14 发布日期:2023-02-14
通讯作者: Wen-Kui Ding E-mail:wenkuiding@zju.edu.cn;xgwang@zstu.edu.cn
基金资助:
Project supported by the National Key Research and Development Program of China (Grant Nos. 2017YFA0304202 and 2017YFA0205700), the National Natural Science Foundation of China (Grant Nos. 11875231 and 11935012), and the Fundamental Research Funds for the Central Universities (Grant No. 2018FZA3005).

Formalism of rotating-wave approximation in high-spin system with quadrupole interaction

Wen-Kui Ding(丁文魁)^1,2,† and Xiao-Guang Wang(王晓光)^1,3,‡

1 Key Laboratory of Optical Field Manipulation of Zhejiang Province and Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China;
2 Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China;
3 Graduate School of China Academy of Engineering Physics, Beijing 100193, China

Received:2022-06-02 Revised:2022-09-09 Accepted:2022-11-17 Online:2023-02-14 Published:2023-02-14
Contact: Wen-Kui Ding E-mail:wenkuiding@zju.edu.cn;xgwang@zstu.edu.cn
Supported by:
Project supported by the National Key Research and Development Program of China (Grant Nos. 2017YFA0304202 and 2017YFA0205700), the National Natural Science Foundation of China (Grant Nos. 11875231 and 11935012), and the Fundamental Research Funds for the Central Universities (Grant No. 2018FZA3005).

摘要/Abstract

摘要： We investigate the rotating wave approximation applied in the high-spin quantum system driven by a linearly polarized alternating magnetic field in the presence of quadrupole interactions. The conventional way to apply the rotating wave approximation in a driven high-spin system is to assume the dynamics being restricted in the reduced Hilbert space. However, when the driving strength is relatively strong or the driving is off resonant, the leakage from the target resonance subspace cannot be neglected for a multi-level quantum system. We propose the correct formalism to apply the rotating wave approximation in the full Hilbert space by taking this leakage into account. By estimating the operator fidelity of the time propagator, our formalism applied in the full Hilbert space unambiguously manifests great advantages over the conventional method applied in the reduced Hilbert space.

关键词: rotating wave approximation, quadrupole interaction, high-spin system

Abstract: We investigate the rotating wave approximation applied in the high-spin quantum system driven by a linearly polarized alternating magnetic field in the presence of quadrupole interactions. The conventional way to apply the rotating wave approximation in a driven high-spin system is to assume the dynamics being restricted in the reduced Hilbert space. However, when the driving strength is relatively strong or the driving is off resonant, the leakage from the target resonance subspace cannot be neglected for a multi-level quantum system. We propose the correct formalism to apply the rotating wave approximation in the full Hilbert space by taking this leakage into account. By estimating the operator fidelity of the time propagator, our formalism applied in the full Hilbert space unambiguously manifests great advantages over the conventional method applied in the reduced Hilbert space.

Key words: rotating wave approximation, quadrupole interaction, high-spin system

中图分类号: (Quantum mechanics)

03.65.-w

76.60.Gv (Quadrupole resonance)

Wen-Kui Ding(丁文魁) and Xiao-Guang Wang(王晓光). Formalism of rotating-wave approximation in high-spin system with quadrupole interaction[J]. 中国物理B, 2023, 32(3): 30301-030301.

Wen-Kui Ding(丁文魁) and Xiao-Guang Wang(王晓光). Formalism of rotating-wave approximation in high-spin system with quadrupole interaction[J]. Chin. Phys. B, 2023, 32(3): 30301-030301.

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Formalism of rotating-wave approximation in high-spin system with quadrupole interaction

Formalism of rotating-wave approximation in high-spin system with quadrupole interaction

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