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Chinese Physics B

Common-mode noise rejection using fringe-locking method in WEP test by simultaneous dual-species atom interferometers

Xiao-Bing Deng, Xiao‐Chun Duan, Dekai Mao, Min-Kang Zhou, Cheng-Gang Shao, Zhong-Kun Hu

Published Apr 1, 2017• 4 citations
Publisher

Abstract

Common-mode noise rejection using fringe-locking method in WEP test by simultaneous dual-species atom interferometers* , Deng, Xiao-Bing, Duan, Xiao-Chun, Mao, De-Kai, Zhou, Min-Kang, Shao, Cheng-Gang, Hu, Zhong-Kun
DOI
10.1088/1674-1056/26/4/043702

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We theoretically investigate the application of the fringe-locking method (FLM) in the dual-species quantum test of the weak equivalence principle (WEP). With the FLM, the measurement is performed invariably at the midfringe, and the extraction of the phase shift for atom interferometers is linearized. For the simultaneous interferometers, this linearization enables a good common-mode rejection of vibration noise, which is usually the main limit for high precision WEP tests of dual-species kind. We note that this method also allows for an unbiased determination of the gravity accelerations difference, which meanwhile is readily to be implemented.
Matter-wave interferometers utilizing different isotopes or chemical elements intrinsically have different sensitivities, and the analysis tools available until now are insufficient for accurately estimating the atomic phase difference under many experimental conditions. In this work, we describe and demonstrate two new methods for extracting the differential phase between dual-species atom interferometers for precise tests of the weak equivalence principle (WEP). The first method is a generalized Bayesian analysis, which uses knowledge of the system noise to estimate the differential phase based on a statistical model. The second method utilizes a mechanical accelerometer to reconstruct single-sensor interference fringes based on measurements of the vibration-induced phase. An improved ellipse-fitting algorithm is also implemented as a third method for comparison. These analysis tools are investigated using both numerical simulations and experimental data from simultaneous 87 Rb and 39 K interferometers, and both new techniques are shown to produce bias-free estimates of the differential phase. We also report observations of phase correlations between atom interferometers composed of different chemical species. This correlation enables us to reject common-mode vibration noise by a factor of 730, and to make preliminary tests of the WEP with a sensitivity of 1.6 × 10 − 6 per measurement with an interrogation time of T = 10 ms. We study the level of vibration rejection by varying the temporal overlap between interferometers in a symmetric timing sequence. Finally, we discuss the limitations of the new analysis methods for future applications of differential atom interferometry.
Abstract Dual atom interferometer configurations have been extensively applied in gyroscopes and gradiometers to suppress common mode noise and extract inertial signals with high precision. However, the intrinsic phase coupling between the two interferometers poses a significant challenge for simultaneous fringe locking. Here, we demonstrate a dual atom interferometric gyroscope-accelerometer, where the simultaneous fringe locking is realized by employing independent direct digital synthesizer (DDSs) signals to control the laser phase shifts of each interferometer. This dual-fringe-locking approach enables both interferometer fringes in independent phase control and simultaneous feedback stabilization while preserving the common mode noise rejection inherent to the dual configuration. It facilitates the rotation and acceleration accurately and simultaneously measured; besides, compared with the traditional full-fringe recording, the data acquisition rate and the sensitivity of rotation and acceleration are enhanced. Thus, this solution is promising for high precision quantum inertial sensing applications.