Researchers have created photonic analogues of [braided light] topological zero modes in photonic lattices. They demonstrated that these “topological guided modes” can be understood at both the quantum and classical levels when the photons in the waveguide array are weakly interacting. They further proposed a photonic non-Abelian interferometer, feasible with current technology, to detect unambiguous signatures of the non-Abelian Berry phases that result from braiding these topological guided modes
Many topological phenomena first proposed and observed in the context of electrons in solids have recently found counterparts in photonic and acoustic systems. Researchers demonstrated that non-Abelian Berry phases can arise when coherent states of light are injected into “topological guided modes” in specially fabricated photonic waveguide arrays. These modes are photonic analogues of topological zero modes in electronic systems. Light traveling inside spatially well-separated topological guided modes can be braided, leading to the accumulation of non-Abelian phases, which depend on the order in which the guided beams are wound around one another. Notably, these effects survive the limit of large photon occupation, and can thus also be understood as wave phenomena arising directly from Maxwell’s equations, without resorting to the quantization of light. They propose an optical interference experiment as a direct probe of this non-Abelian braiding of light.
Arxiv - Non-Abelian braiding of light (18 pages)