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Chin. Phys. B, 2024, Vol. 33(3): 030602    DOI: 10.1088/1674-1056/ad1c5a
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Measuring small longitudinal phase shifts via weak measurement amplification

Kai Xu(徐凯)1,2, Xiao-Min Hu(胡晓敏)1,2,3, Meng-Jun Hu(胡孟军)4,†, Ning-Ning Wang(王宁宁)1,2,3, Chao Zhang(张超)1,2,3, Yun-Feng Huang(黄运锋)1,2,3, Bi-Heng Liu(柳必恒)1,2,3,‡, Chuan-Feng Li(李传锋)1,2,3,§, Guang-Can Guo(郭光灿)1,2,3, and Yong-Sheng Zhang(张永生)1,2,3,¶
1 CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China;
2 CAS Center For Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China;
3 Hefei National Laboratory, University of Science and Technology of China, Hefei 230088, China;
4 Beijing Academy of Quantum Information Sciences, Beijing 100193, China
Abstract  Weak measurement amplification, which is considered as a very promising scheme in precision measurement, has been applied to various small physical quantities estimations. Since many physical quantities can be converted into phase signals, it is interesting and important to consider measuring small longitudinal phase shifts by using weak measurement. Here, we propose and experimentally demonstrate a novel weak measurement amplification-based small longitudinal phase estimation, which is suitable for polarization interferometry. We realize one order of magnitude amplification measurement of a small phase signal directly introduced by a liquid crystal variable retarder and show that it is robust to the imperfection of interference. Besides, we analyze the effect of magnification error which is never considered in the previous works, and find the constraint on the magnification. Our results may find important applications in high-precision measurements, e.g., gravitational wave detection.
Keywords:  weak measurement      phase estimation      quantum optics  
Received:  22 November 2023      Revised:  07 January 2024      Accepted manuscript online:  09 January 2024
PACS:  06.20.-f (Metrology)  
  42.50.-p (Quantum optics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 92065113, 11904357, 62075208, and 12174367), the Innovation Programme for Quantum Science and Technology (Grant No. 2021ZD0301604), and the National Key Research and Development Program of China (Grant No. 2021YFE0113100).
Corresponding Authors:  Meng-Jun Hu, Bi-Heng Liu, Chuan-Feng Li, Yong-Sheng Zhang     E-mail:  humj@baqis.ac.cn;bhliu@ustc.edu.cn;cfli@ustc.edu.cn;yshzhang@ustc.edu.cn

Cite this article: 

Kai Xu(徐凯), Xiao-Min Hu(胡晓敏), Meng-Jun Hu(胡孟军), Ning-Ning Wang(王宁宁), Chao Zhang(张超), Yun-Feng Huang(黄运锋), Bi-Heng Liu(柳必恒), Chuan-Feng Li(李传锋), Guang-Can Guo(郭光灿), and Yong-Sheng Zhang(张永生) Measuring small longitudinal phase shifts via weak measurement amplification 2024 Chin. Phys. B 33 030602

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