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)1, †, Xi Chen(陈曦)2,3, Li-Yong Wang(王立勇)4,5, Qing-Hong Liao(廖庆洪)1, and Qing-Nian Wang(汪庆年)1$
1 School of Information Engineering, Nanchang University, Nanchang 330031, China 2 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Wuhan 430071, China 3 Center for Cold Atom Physics, Chinese Academy of Sciences, Wuhan 430071, China 4 Center for Optics Research and Engineering, Shandong University, Qingdao 266237, China 5 School of Information Science and Engineering, Shandong University, Qingdao 266237, China
Systematic error suppression and test data processing are very important in improving the accuracy and sensitivity of the atom interferometer (AI)-based weak-equivalence-principle (WEP) test in space. Here we present a spectrum correlation method to investigate the test data of the AI-based WEP test in space by analyzing the characteristics of systematic errors and noises. The power spectrum of the Eötvös coefficient η, systematic errors, and noises in AI-based WEP test in space are analyzed and calculated in detail. By using the method, the WEP violation signal is modulated from direct current (DC) frequency band to alternating current (AC) frequency band. We find that the signal can be effectively extracted and the influence of systematic errors can be greatly suppressed by analyzing the power spectrum of the test data when the spacecraft is in an inertial pointing mode. Furthermore, the relation between the Eötvös coefficient η and the number of measurements is obtained under certain simulated parameters. This method will be useful for both isotopic and nonisotopic AI-based WEP tests in space.
Received: 14 May 2020
Revised: 29 June 2020
Accepted manuscript online: 15 July 2020
Fund: the National Natural Science Foundation of China (Grants No. 11947057), the Foundation for Distinguished Young Scientist of Jiangxi Province, China (Grant No. 2016BCB23009), and the Postdoctoral Applied Research Program of Qingdao City, Shandong Province, China (Grant No. 62350079311135).
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)$ Systematic error suppression scheme of the weak equivalence principle test by dual atom interferometers in space based on spectral correlation 2020 Chin. Phys. B 29 110305
Fig. 1.
The schematic diagram of the spacecraft’s orbit in space. The spacecraft moves around the earth in inertial pointing mode.
Fig. 2.
The elliptic curve and the Lissajous curve. (a) The elliptic curve obtained by synchronously scanning the phase and plotting P1versusP2, the range of ϕscan is 2π. (b) The Lissajous curve obtained by plotting P1versusP2. The ratio of effect vectors is α = 780/767, and the range of ϕscan,1 is 20π.
Fig. 3.
Numerical simulation of the power spectrum of WEP tests in space. The Eötvös coefficient η0 is set to be 1×10−15. The standard deviations of noises in a single measurement cycle are set to be (a) 1×10−13, (b) 1×10−14, (c) 1×10−15, and (d) 1×10−16, respectively.
Fig. 4.
Numerical simulation of the power spectrum of WEP tests in space. On the basis of Fig. 3(a), the number of measurements is increased to 1×106. ση is 1×10−13.
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