A hypersphere-like non-Abelian Yang monopole and its topological characterization
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911627416174592 |
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| author | Yang, Shou-Bang Han, Pei-Rong Ning, Wen Wu, Fan Yang, Zhen-Biao Zheng, Shi-Biao |
| author_facet | Yang, Shou-Bang Han, Pei-Rong Ning, Wen Wu, Fan Yang, Zhen-Biao Zheng, Shi-Biao |
| contents | Synthetic monopoles, which correspond to degeneracies of Hamiltonians, play a central role in understanding exotic topological phenomena. Dissipation-induced non-Herminicity (NH), extending the eigenspectra of Hamiltonians from the real to complex domain, largely enriches the topological physics associated with synthetic monopoles. We here investigate exceptional points (EPs) in a four-dimensional NH system, finding a hypersphere-like non-Abelian Yang monopole in a five-dimensional parameter space, formed by EP2 pairs. Such an exotic structure enables the NH Yang monopole to exhibit a unique topological transition, which is inaccessible with the point-like counterpart. We characterize such a topological phenomenon with the second Chern number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00941 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A hypersphere-like non-Abelian Yang monopole and its topological characterization Yang, Shou-Bang Han, Pei-Rong Ning, Wen Wu, Fan Yang, Zhen-Biao Zheng, Shi-Biao Quantum Physics Synthetic monopoles, which correspond to degeneracies of Hamiltonians, play a central role in understanding exotic topological phenomena. Dissipation-induced non-Herminicity (NH), extending the eigenspectra of Hamiltonians from the real to complex domain, largely enriches the topological physics associated with synthetic monopoles. We here investigate exceptional points (EPs) in a four-dimensional NH system, finding a hypersphere-like non-Abelian Yang monopole in a five-dimensional parameter space, formed by EP2 pairs. Such an exotic structure enables the NH Yang monopole to exhibit a unique topological transition, which is inaccessible with the point-like counterpart. We characterize such a topological phenomenon with the second Chern number. |
| title | A hypersphere-like non-Abelian Yang monopole and its topological characterization |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.00941 |