ArticleNational science review2022
Experimental realization of non-Abelian permutations in a three-state non-Hermitian system.
Article in National science review, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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8 citing papers in PubMed, 1 citations in OpenAlex.
- Direct observation of braiding of Majorana-like zero modes in real space.Nature communications · 2026Article
- Observation of non-adiabatic non-Abelian braiding of matter waves.Nature communications · 2026Article
- A general recipe to observe non-Abelian gauge field in metamaterials.Nanophotonics (Berlin, Germany) · 2025Article
- Ultra-sensitivity in reconstructed exceptional systems.National science review · 2024Article
- Observation of dynamic non-Hermitian skin effects.Nature communications · 2024Article
- Realization and topological properties of third-order exceptional lines embedded in exceptional surfaces.Nature communications · 2023Article
- Observation of geometry-dependent skin effect in non-Hermitian phononic crystals with exceptional points.Nature communications · 2023Article
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3 authors at 2 institutions in 2 countries.
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Abstract
Eigenstates of a non-Hermitian system exist on complex Riemannian manifolds, with multiple sheets connecting at branch cuts and exceptional points (EPs). These eigenstates can evolve across different sheets-a process that naturally corresponds to state permutation. Here, we report the first experimental realization of non-Abelian permutations in a three-state non-Hermitian system. Our approach relies on the stroboscopic encircling of two different exceptional arcs (EAs), which are smooth trajectories of order-2 EPs appearing from the coalescence of two adjacent states. The non-Abelian characteristics are confirmed by encircling the EAs in opposite sequences. A total of five non-trivial permutations are experimentally realized, which together comprise a non-Abelian group. Our approach provides a reliable way of investigating non-Abelian state permutations and the related exotic winding effects in non-Hermitian systems.
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