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The concept of gauge fields plays a significant role in many areas of physicsfrom particle physics and cosmology to condensed matter systems, where gaugepotentials are a natural consequence of electromagnetic fields acting oncharged particles and are of central importance in topological states ofmatter. Here, we report on the experimental realization of a syntheticnon-Abelian gauge field for photons in a honeycomb microcavity lattice. We showthat the effective magnetic field associated with TE-TM splitting has thesymmetry of Dresselhaus spin-orbit interaction around Dirac points in thedispersion, and can be regarded as an SU(2) gauge field. The symmetry of thefield is revealed in the optical spin Hall effect (OSHE), where under resonantexcitation of the Dirac points precession of the photon pseudospin around thefield direction leads to the formation of two spin domains. Furthermore, weobserve that the Dresselhaus field changes its sign in the same Dirac valley onswitching from s to p bands in good agreement with the tight binding modelling.Our work demonstrating a non-Abelian gauge field for light on the microscalepaves the way towards manipulation of photons via spin on a chip.

Optical analogue of Dresselhaus spin-orbit interaction in photonic graphene