Atom beam-splitter with internal state selection using spin-dependent optical standing wave potentials

We propose an atom beam splitter that enables the manipulation of the internal spin state of the atoms in the output beams using a spin-dependent optical potential. The utility of such an atom beam splitter is demonstrated through its application in measuring the Aharonov-Casher phase of atoms subjected to a constant homogeneous electric field, thereby enabling measurement of the electric field strength.