Versatile braiding of non-Hermitian topological edge states

The mathematical concept of braiding describes how string-like objects can be interwoven, including topologically distinct ``links'' and ``knots''. A physical setting for realizing braids is the complex energy levels of non-Hermitian systems. The authors introduce here a route to generating energy braids, using topological edge states of non-Hermitian lattices. The model hosts braids like Solomon links and [$n$]-catenanes, which have not yet been observed physically. The model is experimentally feasible, requiring only a lattice with local gain and loss, without nonreciprocal coupling.

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Publication Details

Journal
Physical review. B./Physical review. B
Published
2024-10-22
DOI
https://doi.org/10.1103/physrevb.110.134317
Citations
9
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
article
Field-Weighted Citation Impact
3.04

Funders

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article

Versatile braiding of non-Hermitian topological edge states

You Wang, Bofeng Zhu, Qiang Wang, Y. D. Chong et al.
9 citations
Physical review. B./Physical review. B
Quantum Mechanics and Non-Hermitian Physics
3.04
article

Versatile braiding of non-Hermitian topological edge states

You Wang, Bofeng Zhu, Qiang Wang, Y. D. Chong, Qi Jie Wang
article en
9 citations

Abstract

The mathematical concept of braiding describes how string-like objects can be interwoven, including topologically distinct ``links'' and ``knots''. A physical setting for realizing braids is the complex energy levels of non-Hermitian systems. The authors introduce here a route to generating energy braids, using topological edge states of non-Hermitian lattices. The model hosts braids like Solomon links and [$n$]-catenanes, which have not yet been observed physically. The model is experimentally feasible, requiring only a lattice with local gain and loss, without nonreciprocal coupling.

Physical review. B./Physical review. BVol. 110(13)
Nanyang Technological University (SG), Collaborative Innovation Center of Advanced Microstructures (CN), Nanjing University (CN)
Agency for Science, Technology and Research, National Research Foundation Singapore
Openalex Percentile: Top 8%
Quantum Mechanics and Non-Hermitian Physics
3.04
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