We use both mass and internal energy specified rubidium atoms to jointly test the weak equivalence principle (WEP). We improve the four-wave double-diffraction Raman transition method (FWDR) we proposed before to select atoms with certain mass and angular momentum state, and perform dual-species atom interferometer. By combining $^{ 87}$Rb and $^{ 85}$Rb atoms with different angular momenta, we compare the differential gravitational acceleration of them, and determine the value of E\"{ o}tv\"{ o}s parameter, $\eta$, which measures the strength of the violation of WEP. For one case ($^{ 87}$Rb$|\emph{ F}=1\rangle$ - $^{ 85}$Rb$|\emph{ F}=2\rangle$),the statistical uncertainty of $\eta$ is $1.8 \times 10^{ -10}$ at integration time of 8960 s. With various systematic errors correction, the final value is $\eta=(-4.4 \pm 6.7) \times 10^{ -10}$. Comparing with the previous WEP test experiments using atoms, this work gives a new upper limit of WEP violation for $^{ 87}$Rb and $^{ 85}$Rb atom pairs.
Categories: quant-ph gr-qc physics.atom-ph