Suppression of servo error uncertainty to 10-18 level using double integrator algorithm in ion optical clock

doi:10.1088/1674-1056/abf918

中国物理B ›› 2021, Vol. 30 ›› Issue (7): 70305-070305.doi: 10.1088/1674-1056/abf918

Suppression of servo error uncertainty to 10^-18 level using double integrator algorithm in ion optical clock

Jin-Bo Yuan(袁金波)^1,2,3, Jian Cao(曹健)^1,2,†, Kai-Feng Cui(崔凯枫)^1,2, Dao-Xin Liu(刘道信)^1,2,3, Yi Yuan(袁易)^1,2,3, Si-Jia Chao(晁思嘉)^1,2, Hua-Lin Shu(舒华林)^1,2, and Xue-Ren Huang(黄学人)^1,2,‡

1 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
2 Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
3 University of Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2021-03-10 修回日期:2021-03-31 接受日期:2021-04-19 出版日期:2021-06-22 发布日期:2021-07-02
通讯作者: Jian Cao, Xue-Ren Huang E-mail:caojian@apm.ac.cn;hxueren@apm.ac.cn
基金资助:
Project supported by the National Key Research and Development Program of China (Grant No. 2017YFA0304404) and the National Natural Science Foundation of China (Grant No. 11674357).

Suppression of servo error uncertainty to 10^-18 level using double integrator algorithm in ion optical clock

1 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
2 Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
3 University of Chinese Academy of Sciences, Beijing 100049, China

Received:2021-03-10 Revised:2021-03-31 Accepted:2021-04-19 Online:2021-06-22 Published:2021-07-02
Contact: Jian Cao, Xue-Ren Huang E-mail:caojian@apm.ac.cn;hxueren@apm.ac.cn
Supported by:
Project supported by the National Key Research and Development Program of China (Grant No. 2017YFA0304404) and the National Natural Science Foundation of China (Grant No. 11674357).

摘要/Abstract

摘要： A universal locking model for single ion optical clocks was built based on a simple integrator and a double integrator. Different integrator algorithm parameters have been analyzed in both numerical simulations and experiments. The frequency variation measured by the comparison of two optical clocks coincides well with the simulation results for different second integrator parameters. According to the experimental results, the sensitivity of the servo error influenced by laser frequency drift with the addition of a double integrator was suppressed by a factor of 107. In a week-long comparison of optical clocks, the relative uncertainty of the servo error is determined to be 1.9×10^-18, which is meaningful for the systematic uncertainty of the transportable single ⁴⁰Ca⁺ ion optical clock entering the 10^-18 level.

关键词: optical clocks, frequency uncertainty, servo error, servo algorithm

Abstract: A universal locking model for single ion optical clocks was built based on a simple integrator and a double integrator. Different integrator algorithm parameters have been analyzed in both numerical simulations and experiments. The frequency variation measured by the comparison of two optical clocks coincides well with the simulation results for different second integrator parameters. According to the experimental results, the sensitivity of the servo error influenced by laser frequency drift with the addition of a double integrator was suppressed by a factor of 107. In a week-long comparison of optical clocks, the relative uncertainty of the servo error is determined to be 1.9×10^-18, which is meaningful for the systematic uncertainty of the transportable single ⁴⁰Ca⁺ ion optical clock entering the 10^-18 level.

Key words: optical clocks, frequency uncertainty, servo error, servo algorithm

中图分类号: (Quantum algorithms, protocols, and simulations)

03.67.Ac

03.67.Pp (Quantum error correction and other methods for protection against decoherence) 06.30.Ft (Time and frequency)

Jin-Bo Yuan(袁金波), Jian Cao(曹健), Kai-Feng Cui(崔凯枫), Dao-Xin Liu(刘道信), Yi Yuan(袁易), Si-Jia Chao(晁思嘉), Hua-Lin Shu(舒华林), and Xue-Ren Huang(黄学人). Suppression of servo error uncertainty to 10^-18 level using double integrator algorithm in ion optical clock[J]. 中国物理B, 2021, 30(7): 70305-070305.

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Suppression of servo error uncertainty to 10^-18 level using double integrator algorithm in ion optical clock

Suppression of servo error uncertainty to 10^-18 level using double integrator algorithm in ion optical clock

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