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• W4296714039 abstract "We propose a simple method, using the first singular value (FSV) of the spatial correlation of biphotons, to characterize topological phase transitions (TPTs) in one-dimensional (1D) topological photonic waveguide arrays (PWAs). After analyzing the spatial correlation of biphotons using the singular value decomposition, we found that the FSV of the spatial correlation of biphotons in real space can characterize TPTs and distinguish between the topological trivial and nontrivial phases in PWAs based on the Su-Schrieffer-Heeger model. The analytical simulation results were demonstrated by applying the coupled-mode theory to biphotons and were found to be in good agreement with those of the numerical simulation. Moreover, the numerical simulation of the FSV (of the spatial correlation of biphotons) successfully characterized the TPT in a PWA based on the Aubry-André-Harper and Rice-Mele models, demonstrating the universality of this method for 1D topological PWAs. Our method provides biphotons with the possibility of acquiring information regarding TPTs directly from the spatial correlation in real space, and their potential applications in quantum topological photonics and topological quantum computing as quantum simulators and information carriers." @default.
• W4296714039 created "2022-09-23" @default.
• W4296714039 creator A5006218155 @default.
• W4296714039 creator A5058245118 @default.
• W4296714039 date "2022-09-28" @default.
• W4296714039 modified "2023-10-16" @default.
• W4296714039 title "Observation of the topological phase transition from the spatial correlation of a biphoton in a one-dimensional topological photonic waveguide array" @default.
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• W4296714039 doi "https://doi.org/10.1364/oe.471703" @default.
• W4296714039 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/36258369" @default.
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