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Simulation of a Floquet non-Abelian topological insulator with photonic quantum walks
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DOI：10.1038/s41566-026-01854-x.png)
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Abstract
En 中文
Floquet non-Abelian topological phases emerge in periodically driven systems and exhibit properties that are absent from their Abelian or static counterparts. Dubbed the Floquet non-Abelian topological insulators (FNATIs), they are characterized by non-Abelian topological charges with intricate 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 confirm the bulk-boundary correspondence through a Floquet non-Abelian topological invariant, which is also capable of characterizing the observed anomalous non-Abelian phase. This study experimentally characterizes the FNATI, providing general insight into gapped non-Abelian topological phases. A three-band time-multiplexed photonic quantum walk simulates a Floquet non-Abelian topological insulator. The observation of the anomalous non-Abelian phase confirms the bulk-boundary correspondence using the topological configuration of phase-band singularities.
Keywords:
Condensed-matter physics
Single photons and quantum effects
Physics
general
Applied and Technical Physics
Quantum Physics
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32.9
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4.3K
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6.1W
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