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We report a test of the universality of free fall (UFF) related tospin-gravity coupling effects by comparing the gravity acceleration of the$^{87}$Rb atoms in $m_F=+1$ versus that in $m_F=-1$, where the correspondingspin orientations are opposite. A Mach-Zehnder-type atom interferometer isexploited to sequentially measure the free fall acceleration of the atoms inthese two sublevels, and the resultant E$\rm{\ddot{o}}$tv$\rm{\ddot{o}}$s ratiodetermined by this work is ${\eta_S} =(-0.2\pm1.5)\times 10^{-5}$. Theinterferometer using atoms in $m_F=+1$ or $m_F=-1$ is highly sensitive tomagnetic field inhomogeneity, which limits the current experimental precisionof our UFF test. The work here provides a stepping stone for future higherprecision UFF test related to different spin orientations on atomic basis.

Test of the universality of free fall with atoms in different spin Orientations