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Chin. Phys. B, 2017, Vol. 26(9): 090401    DOI: 10.1088/1674-1056/26/9/090401
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Determination of the thermal noise limit in test of weak equivalence principle with a rotating torsion pendulum

Wen-Ze Zhan(占文泽)1, Jie Luo(罗杰)1, Cheng-Gang Shao(邵成刚)2, Di Zheng(郑第)3, Wei-Ming Yin(殷蔚明)1, Dian-Hong Wang(王典洪)1
1 School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, China;
2 MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China;
3 Wuhan Juzheng Environmental Science & Technology Co., Ltd, Wuhan 430074, China
Abstract  Thermal noise is one of the most fundamental limits to the sensitivity in weak equivalence principle test with a rotating torsion pendulum. Velocity damping and internal damping are two of many contributions at the thermal noise, and which one mainly limits the torsion pendulum in low frequency is difficult to be verified by experiment. Based on the conventional method of fast Fourier transform, we propose a developed method to determine the thermal noise limit and then obtain the precise power spectrum density of the pendulum motion signal. The experiment result verifies that the thermal noise is mainly contributed by the internal damping in the fiber in the low frequency torsion pendulum experiment with a high vacuum. Quantitative data analysis shows that the basic noise level in the experiment is about one to two times of the theoretical value of internal damping thermal noise.
Keywords:  weak equivalence principle      torsion pendulum      thermal noise limit      internal damping  
Received:  05 April 2017      Revised:  18 May 2017      Accepted manuscript online: 
PACS:  04.80.Cc (Experimental tests of gravitational theories)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11575160 and 11275075) and the Natural Science Foundation of Key Projects of Hubei Province, China (Grant No. 2013CFA045).
Corresponding Authors:  Jie Luo, Cheng-Gang Shao     E-mail:  luojiethanks@126.com;cgshao@mail.hust.edu.cn

Cite this article: 

Wen-Ze Zhan(占文泽), Jie Luo(罗杰), Cheng-Gang Shao(邵成刚), Di Zheng(郑第), Wei-Ming Yin(殷蔚明), Dian-Hong Wang(王典洪) Determination of the thermal noise limit in test of weak equivalence principle with a rotating torsion pendulum 2017 Chin. Phys. B 26 090401

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