Non-Abelian dynamics in strongly interacting spinor Bose gases

Topology is widely used to characterize phases and responses in many systems, yet typically only in Abelian and non-interacting settings. We investigate an interacting bosonic system whose low-energy subspace exhibits non-Abelian features and split Yang monopoles. Certain Wilson loops, which can be computed explicitly, show non-trivial behavior that depends on the topology of the ground-band manifold, characterized by the second Chern number. This provides a way to probe non-Abelian dynamics in interacting ultracold gases, in principle accessible via tomography and linear-response measurements.