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We report an improved test of the weak equivalence principle by using a simultaneous Rb-Rb dual-species atom interferometer. We propose and implement a four-wave double-diffraction Raman transition scheme for the interferometer, and demonstrate its ability in suppressing common-mode phase noise of Raman lasers after their frequencies and intensity ratios are optimized. The statistical uncertainty of the experimental data for E"{o}tv"{o}s parameter is at 3200 s. With various systematic errors corrected the final value is . The major uncertainty is attributed to the Coriolis effect.

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