Simulating Floquet non-Abelian topological insulator with photonic quantum walks
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916888203755520 |
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| author | Lin, Quan Li, Tianyu Hu, Haiping Yi, Wei Xue, Peng |
| author_facet | Lin, Quan Li, Tianyu Hu, Haiping Yi, Wei Xue, Peng |
| contents | Floquet non-Abelian topological phases emerge in periodically driven systems and exhibit properties that are absent in their Abelian or static counterparts. Dubbed the Floquet non-Abelian topological insulators (FNATIs), they are characterized by non-Abelian topological charges and feature multifold bulk-boundary correspondence, making their experimental observation challenging. Here we simulate the FNATI using a higher-dimensional photonic quantum walk and develop dynamic measurement schemes to demonstrate key signatures of the FNATI. Importantly, combining a direct bulk-dynamic detection for the underlying quaternion topological charge, and a spatially-resolved injection spectroscopy for the edge states, we experimentally establish the multifold bulk-boundary correspondence, and, in particular, identify the anomalous non-Abelian phase where edge states appear in all band gaps, despite the presence of a trivial topological charge. Our experiment marks the first experimental characterization of the FNATI, providing general insight into the non-Abelian topological phases. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_06466 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simulating Floquet non-Abelian topological insulator with photonic quantum walks Lin, Quan Li, Tianyu Hu, Haiping Yi, Wei Xue, Peng Mesoscale and Nanoscale Physics Quantum Gases Optics Quantum Physics Floquet non-Abelian topological phases emerge in periodically driven systems and exhibit properties that are absent in their Abelian or static counterparts. Dubbed the Floquet non-Abelian topological insulators (FNATIs), they are characterized by non-Abelian topological charges and feature multifold bulk-boundary correspondence, making their experimental observation challenging. Here we simulate the FNATI using a higher-dimensional photonic quantum walk and develop dynamic measurement schemes to demonstrate key signatures of the FNATI. Importantly, combining a direct bulk-dynamic detection for the underlying quaternion topological charge, and a spatially-resolved injection spectroscopy for the edge states, we experimentally establish the multifold bulk-boundary correspondence, and, in particular, identify the anomalous non-Abelian phase where edge states appear in all band gaps, despite the presence of a trivial topological charge. Our experiment marks the first experimental characterization of the FNATI, providing general insight into the non-Abelian topological phases. |
| title | Simulating Floquet non-Abelian topological insulator with photonic quantum walks |
| topic | Mesoscale and Nanoscale Physics Quantum Gases Optics Quantum Physics |
| url | https://arxiv.org/abs/2508.06466 |