Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915779323101184 |
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| author | Yang, Ao Fang, Zixi Zhang, Kai Fang, Chen |
| author_facet | Yang, Ao Fang, Zixi Zhang, Kai Fang, Chen |
| contents | It is generally believed that the non-Hermitian effect (NHSE), due to its non-reciprocal nature, creates barriers for the appearance of impurity bound states. In this paper, we find that in two and higher dimensions, the presence of geometry-dependent skin effect eliminates this barrier such that even an infinitesimal impurity potential can confine bound states in this type of non-Hermitian systems. By examining bound states around Bloch saddle points, we find that non-Hermiticity can disrupt the isotropy of bound states, resulting in concave dumbbell-shaped bound states. Our work reveals a geometry transition of bound state between concavity and convexity in high-dimensional non-Hermitian systems, offering theoretical insights for the experimental manipulation of bound states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07626 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems Yang, Ao Fang, Zixi Zhang, Kai Fang, Chen Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Quantum Gases Quantum Physics It is generally believed that the non-Hermitian effect (NHSE), due to its non-reciprocal nature, creates barriers for the appearance of impurity bound states. In this paper, we find that in two and higher dimensions, the presence of geometry-dependent skin effect eliminates this barrier such that even an infinitesimal impurity potential can confine bound states in this type of non-Hermitian systems. By examining bound states around Bloch saddle points, we find that non-Hermiticity can disrupt the isotropy of bound states, resulting in concave dumbbell-shaped bound states. Our work reveals a geometry transition of bound state between concavity and convexity in high-dimensional non-Hermitian systems, offering theoretical insights for the experimental manipulation of bound states. |
| title | Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2406.07626 |