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(a) The schematic of mapping the behavior of fermion pair into a photonic lattice. (b) The designed bi-layer waveguide lattice and the corresponding dispersion relation. (c) The cross-section profile of the fabricated lattices. (d) The imagined output probability distribution of single-photon wave packet splitting to two parts and moving in opposite direction. (e) The output probability distributions with different excited positions in the same lattice. (f) The separation distance increases with the excited position linearly.
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