Determination of the thermal noise limit in test of weak equivalence principle with a rotating torsion pendulum

doi:10.1088/1674-1056/26/9/090401

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

[1]	Schlamminger S, Choi K Y, Wagner T A, Gundlach J H and Adelberger E G 2008 Phys. Rev. Lett. 100 041101
[2]	Su Y, Heckel B R, Adelberger E G, Gundlach J H, Harris M, Smith G L, and Swanson H E 1994 Phys. Rev. D 50 3614
[3]	Zhou Z B, Luo J, Dan Q, Wu Z G, Zhang Y Z and Nie Y X 2002 Phys. Rev. D 66 022002
[4]	Luo J, Nie Y X, Zhang Y Z and Zhou Z B 2001 Phys. Rev. D 65 042005
[5]	Zhu L, Liu Q, Zhao H H, Feng W F, Yang S Q, Shao C G, Tu L C and Luo J 2016 Sci. Sin.-Phys. Mech. Astron. 46 073002 (in Chinese)
[6]	Wang J 2015 Chin. Phys. B 24 053702
[7]	Damour T 1996 Class. Quantum Grav. 13 A33
[8]	Cavendish H 1798 Philos. Trans. R. Soc. Lond. 17 469
[9]	Adelberger E G, Gundlach J H, Heckel B R, Hoedl S and Schlamminger S 2009 Prog. Part. Nucl. Phys. 62 102
[10]	Feng G Q, Yang S Q, Tu L C and Luo J 2006 Chin. Phys. Lett. 23 2052
[11]	Eötvös R V, Pekar D, and Feteke E 1922 Ann. Phys. 68 11
[12]	Adelberger E G, Stubbs C W, Heckel B R, Su Y, Swanson H E, Smith G L, Gundlach J H and Rogers W F 1990 Phys. Rev. D 42 3267
[13]	Smith G L, Hoyle C D, Gundlach J H, Adelberger E G, Heckel B R and Swanson H E 1999 Phys. Rev. D 61 022001
[14]	Chen Y T and Cook A 1990 Class. Quantum Grav. 7 1225
[15]	Ritter R C, Winker L I and Gillies G T 1990 Meas. Sci. Technol. 10 499
[16]	An X T, Li Y X and Liu J J 2007 Acta Phys. Sin. 56 4105 (in Chinese)
[17]	Lamoreaux S K and Buttler W T 2005 Phys. Rev. E 71 036109
[18]	Peter R S 1990 Phys. Rev. D 42 8
[19]	Luo J, Shao C G, and Wang D H 2009 Class. Quantum. Grav. 26 195005
[20]	Luo J, Shao C G, Tian Y and Wang D H 2013 Phys. Lett. A 377 1397
[21]	Wagner T A, Schlamminger S, Gundlach J H and Adelberger E G 2012 Class. Quantum Grav. 29 18
[22]	Tu L C, Li Q, Wang Q L, Shao C G, Yang S Q, Liu L X, Liu Q and Luo J 2010 Phys. Rev. D 82 022001
[23]	Wu W H, Tian Y, Xue C, Luo J and Shao C G 2017 Chin. Phys. B 26 040401

[1]	New measuring method of fiber alignment in precision torsion pendulum experiments Bing-Jie Wang(王冰洁), Li Xu(徐利), Wei-You Zeng(曾维友), Qing-Lan Wang(王晴岚). Chin. Phys. B, 2020, 29(8): 080401.
[2]	Suppression of Coriolis error in weak equivalence principle test using ⁸⁵Rb-⁸⁷Rb dual-species atom interferometer Wei-Tao Duan(段维涛), Chuan He(何川), Si-Tong Yan(闫思彤), Yu-Hang Ji(冀宇航), Lin Zhou(周林), Xi Chen(陈曦), Jin Wang(王谨), Ming-Sheng Zhan(詹明生). Chin. Phys. B, 2020, 29(7): 070305.
[3]	Systematic error suppression scheme of the weak equivalence principle test by dual atom interferometers in space based on spectral correlation Jian-Gong Hu(胡建功), Xi Chen(陈曦), Li-Yong Wang(王立勇), Qing-Hong Liao(廖庆洪), and Qing-Nian Wang(汪庆年)$. Chin. Phys. B, 2020, 29(11): 110305.
[4]	Optimal estimation of the amplitude of signal with known frequency in the presence of thermal noise Jie Luo(罗杰), Jun Ke(柯俊), Yi-Chuan Liu(柳一川), Xiang-Li Zhang(张祥莉), Wei-Ming Yin(殷蔚明), Cheng-Gang Shao(邵成刚). Chin. Phys. B, 2019, 28(10): 100401.
[5]	Correlation method estimation of the modulation signal in the weak equivalence principle test Jie Luo(罗杰), Liang-Cheng Shen(沈良程), Cheng-Gang Shao(邵成刚), Qi Liu(刘祺), Hui-Jie Zhang(张惠捷). Chin. Phys. B, 2018, 27(8): 080402.
[6]	Effect of gravity gradient in weak equivalence principle test Jia-Hao Xu(徐家豪), Cheng-Gang Shao(邵成刚), Jie Luo(罗杰), Qi Liu(刘祺), Lin Zhu(邾琳), Hui-Hui Zhao(赵慧慧). Chin. Phys. B, 2017, 26(8): 080401.
[7]	Common-mode noise rejection using fringe-locking method in WEP test by simultaneous dual-species atom interferometers Xiao-Bing Deng(邓小兵), Xiao-Chun Duan(段小春), De-Kai Mao(毛德凯), Min-Kang Zhou(周敏康), Cheng-Gang Shao(邵成刚), Zhong-Kun Hu(胡忠坤). Chin. Phys. B, 2017, 26(4): 043702.
[8]	Influence of the colored noise on determining the period of a torsion pendulum Jie Luo(罗杰), Wen-Ze Zhan(占文泽), Wei-Huang Wu(巫伟皇), Cheng-Gang Shao(邵成刚), Dian-Hong Wang(王典洪). Chin. Phys. B, 2016, 25(8): 080401.
[9]	Influence of the environmental noise on determining the period of a torsion pendulum Luo Jie (罗杰), Tian Yuan (田苑), Shao Cheng-Gang (邵成刚), Wang Dian-Hong (王典洪). Chin. Phys. B, 2015, 24(3): 030401.
[10]	Remarks on interpretations of the Eötvös experiment and misinterpretation of E=mc² C. Y. Lo (Lu Zhong-Xian)(鲁重贤). Chin. Phys. B, 2007, 16(3): 635-639.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Determination of the thermal noise limit in test of weak equivalence principle with a rotating torsion pendulum

Cite this article:

Online attention