Two-dimensional non-Abelian Thouless pump

Yi-Ke Sun, Zhong-Lei Shan, Zhen-Nan Tian (), Qi-Dai Chen and Xu-Lin Zhang ()
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Yi-Ke Sun: Jilin University
Zhong-Lei Shan: Jilin University
Zhen-Nan Tian: Jilin University
Qi-Dai Chen: Jilin University
Xu-Lin Zhang: Jilin University

Nature Communications, 2024, vol. 15, issue 1, 1-8

Abstract: Abstract Non-Abelian Thouless pumps are periodically driven systems designed by the non-Abelian holonomy principle, in which quantized transport of degenerate eigenstates emerges, exhibiting noncommutative features such that the outcome depends on the pumping sequence. The study of non-Abelian Thouless pump is currently restricted to 1D systems, while extending it to higher-dimensional systems will not only provide effective means to probe non-Abelian physics in high-dimensional topological systems, but also expand the dimension and type of associated non-Abelian geometric phase matrix for potential applications. Here, we propose the design and experimental realization of 2D non-Abelian Thouless pumps on a photonic chip with 2D photonic waveguide arrays, where degenerate photonic modes are topologically pumped simultaneously along two real-space directions. We reveal the associated non-Abelian group and experimentally demonstrate the non-Abelian feature by measuring the pumping sequence dependent output. The proposed 2D non-Abelian Thouless pump shows promising applications for robust optical interconnections and optical computing.

Date: 2024
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DOI: 10.1038/s41467-024-53741-0

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