Experimental investigation of a non-Abelian gauge field in 2D perovskite photonic platform

Electromagnetism, with its scalar charges, is based on an Abelian gauge theory, whereas non-Abelian gauge theories with vector charges describe strong and weak interactions, with a coupled spatial and charge (color) dynamics. New Abelian gauge fields have been synthesized artificially, allowing the study of extraordinary physical effects. The most well-known example is the Berry curvature, the cornerstone of topological physics. Synthetic non-Abelian gauge fields have been implemented only recently, but their action on the spatial dynamics of their emergent charges has not been studied experimentally so far. Here, by exploiting optically anisotropic 2D perovskite in the strong light- matter coupling regime, we experimentally synthesized a static non-Abelian gauge field, acting on an exciton-polariton quantum flow at room temperature. We observe experimentally the corresponding curved trajectories and spin precession. Our work could therefore open perspectives to study the non-Abelian physics using highly flexible photonic simulators.