Systematic error suppression scheme of the weak equivalence principle test by dual atom interferometers in space based on spectral correlation

doi:10.1088/1674-1056/aba609

Abstract

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.

Keywords: atom interferometer weak equivalence principle spectral correlation systematic error

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).

Corresponding Authors: ^†Corresponding author. E-mail: jghu@ncu.edu.cn

Cite this article:

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 P₁ versus P₂, the range of ϕ_scan is 2π. (b) The Lissajous curve obtained by plotting P₁ versus P₂. The ratio of effect vectors is α = 780/767, and the range of ϕ_scan,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. σ_η is 1×10⁻¹³.

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Systematic error suppression scheme of the weak equivalence principle test by dual atom interferometers in space based on spectral correlation

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