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Atom reflection is studied in the presence of a non-Abelian vector potentialproportional to a spin-1/2 operator. The potential is produced by a relativelysimple laser configuration for atoms with a tripod level scheme. We show thatthe atomic motion is described by two different dispersion branches withpositive or negative chirality. As a consequence of that, atom reflection showsunusual features, since an incident wave may split into two reflected ones at abarrier, an ordinary specular reflection, and an additional non-specular one.Remarkably, the latter wave can exhibit negative reflection and may becomeevanescent if the angle of incidence exceeds a critical value. These reflectionproperties are crucial for future designs in non-Abelian atom optics.

Double and negative reflection of cold atoms in non-Abelian gauge potentials