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We propose a two-path vortex interferometry experiment based on theAharonov-Casher effect for detecting the non-Abelian nature of vortices in achiral p-wave superconductor. The effect is based on observing vortexinterference patterns upon enclosing a finite charge of externally controllablemagnitude within the interference path. We predict that when the interferingvortices enclose an odd number of identical vortices in their path, theinterference pattern disappears only for non-Abelian vortices. When pairinginvolves two distinct spin species, we derive the mutual statistics betweenhalf quantum and full quantum vortices and show that, remarkably, ourpredictions still hold for the situation of a full quantum vortex enclosing ahalf quantum vortex in its path. We discuss the experimentally relevantconditions under which these effects can be observed.

Proposed Aharonov-Casher interference measurement of non-Abelian vortices in chiral p-wave superconductors