Braiding topology of symmetry-protected degeneracy points in non-Hermitian systems
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866916282885996544 |
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| author | Li, Jia-Zheng Bai, Kai Guo, Cheng Liu, Tian-Rui Fang, Liang Wan, Duanduan Xiao, Meng |
| author_facet | Li, Jia-Zheng Bai, Kai Guo, Cheng Liu, Tian-Rui Fang, Liang Wan, Duanduan Xiao, Meng |
| contents | Degeneracy points in non-Hermitian systems are of great interest. While a homotopic framework exists for understanding their behavior in the absence of symmetry, it does not apply to symmetry-protected degeneracy points with reduced codimension. In this work, utilizing algebraic topology, we provide a systematic classification of these symmetry-protected degenerate points and investigate the braid conservation rule followed by them. Using a model Hamiltonian and circuit simulation, we discover that, contrary to simple annihilation, pairwise-created symmetry-protected degeneracy points merge into a higher-order degeneracy point, which goes beyond the abelian picture. Our findings empower researchers across diverse fields to uncover new phenomena and applications harnessing symmetry-protected non-Hermitian degeneracy points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16152 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Braiding topology of symmetry-protected degeneracy points in non-Hermitian systems Li, Jia-Zheng Bai, Kai Guo, Cheng Liu, Tian-Rui Fang, Liang Wan, Duanduan Xiao, Meng Mesoscale and Nanoscale Physics Optics Quantum Physics Degeneracy points in non-Hermitian systems are of great interest. While a homotopic framework exists for understanding their behavior in the absence of symmetry, it does not apply to symmetry-protected degeneracy points with reduced codimension. In this work, utilizing algebraic topology, we provide a systematic classification of these symmetry-protected degenerate points and investigate the braid conservation rule followed by them. Using a model Hamiltonian and circuit simulation, we discover that, contrary to simple annihilation, pairwise-created symmetry-protected degeneracy points merge into a higher-order degeneracy point, which goes beyond the abelian picture. Our findings empower researchers across diverse fields to uncover new phenomena and applications harnessing symmetry-protected non-Hermitian degeneracy points. |
| title | Braiding topology of symmetry-protected degeneracy points in non-Hermitian systems |
| topic | Mesoscale and Nanoscale Physics Optics Quantum Physics |
| url | https://arxiv.org/abs/2309.16152 |