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Motivated by recent experiments on the Kitaev honeycomb magnet$\alpha\text{-RuCl}_3$, we introduce time-domain probes of the edge andquasiparticle content of non-Abelian spin liquids. Our scheme exploitsancillary quantum spins that communicate via time-dependent tunneling of energyinto and out of the spin liquid's chiral Majorana edge state. We show that theancillary-spin dynamics reveals the edge-state velocity and, in suitablegeometries, detects individual non-Abelian anyons and emergent fermions via atime-domain counterpart of quantum-Hall anyon interferometry. We anticipateapplications to a wide variety of topological phases in solid-state andcold-atoms settings.

Time-domain anyon interferometry in Kitaev honeycomb spin liquids and beyond