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The hallmark of topological phases is their exotic boundary states. In aseries of remarkable experiments it has been shown that classical analogues ofthese states can be engineered in arrays of coupled optical waveguides givendelicately fine-tuned input light. Here, we introduce and experimentallydemonstrate a radically different approach in which a pattern of lossywaveguides distills the boundary states for generic, even defocused, inputlight, thus fully alleviating the need for fine-tuning. Our "topologicaldistillation" approach is remarkably general: the lossy waveguides amount to aneffectively non-Hermitian Hamiltonian, and the corresponding time-evolution(propagation of the light in the waveguides) removes the mundane bulk states ofany topological (or trivial) band structure while retaining the intriguingboundary states by virtue of being the unique states with the longestlife-time. We experimentally demonstrate the power and versatility of ourapproach by distilling the edge states in photonic graphene, as well as cornerand edge states in non-Hermitian Kagome arrays.

Non-Hermitian Boundary State Distillation with Lossy Waveguides