Dirac monopole magnets in non-Hermitian systems
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866911158833774592 |
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| author | Yu, Haiyang Jiang, Tao Zhao, Li-Chen |
| author_facet | Yu, Haiyang Jiang, Tao Zhao, Li-Chen |
| contents | We theoretically establish that non-Hermitian perturbations induce a topological transformation of point-like Dirac monopoles into extended monopole distributions, characterized by distinct charge configurations emergent from three distinct Berry connection forms. Using piecewise adiabatic evolution, we confirm the validity of these configurations through observations of complex geometric phases. Most critically, we find a quantitative relation $Δϕ_d = Δϕ_g$, which quantifies how cumulative minute energy differences (\(Δϕ_d\)) manifest as geometric phase shifts (\(Δϕ_g\)) uniquely in non-Hermitian systems. We further propose a scheme leveraging soliton dynamics in dissipative two-component Bose-Einstein condensates, enabling direct measurement of these topological signatures. These results establish a milestone for understanding Dirac monopole charge distributions and measuring complex geometric phases in non-Hermitian systems, with far-reaching implications for topological quantum computing and non-Hermitian photonics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_15186 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dirac monopole magnets in non-Hermitian systems Yu, Haiyang Jiang, Tao Zhao, Li-Chen Quantum Physics Quantum Gases Mathematical Physics Pattern Formation and Solitons We theoretically establish that non-Hermitian perturbations induce a topological transformation of point-like Dirac monopoles into extended monopole distributions, characterized by distinct charge configurations emergent from three distinct Berry connection forms. Using piecewise adiabatic evolution, we confirm the validity of these configurations through observations of complex geometric phases. Most critically, we find a quantitative relation $Δϕ_d = Δϕ_g$, which quantifies how cumulative minute energy differences (\(Δϕ_d\)) manifest as geometric phase shifts (\(Δϕ_g\)) uniquely in non-Hermitian systems. We further propose a scheme leveraging soliton dynamics in dissipative two-component Bose-Einstein condensates, enabling direct measurement of these topological signatures. These results establish a milestone for understanding Dirac monopole charge distributions and measuring complex geometric phases in non-Hermitian systems, with far-reaching implications for topological quantum computing and non-Hermitian photonics. |
| title | Dirac monopole magnets in non-Hermitian systems |
| topic | Quantum Physics Quantum Gases Mathematical Physics Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2508.15186 |