Observation of exceptional points in a spherical open elastic system
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914948600299520 |
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| author | Deguchi, Hiroaki Matsushima, Kei Yamada, Takayuki |
| author_facet | Deguchi, Hiroaki Matsushima, Kei Yamada, Takayuki |
| contents | Exceptional points (EPs) are spectral singularities in non-Hermitian systems where eigenvalues and their corresponding eigenstates coalesce simultaneously. In this study, we calculate scattering poles in an open spherical solid and propose a depth-first search-based method to identify EPs. Using the proposed method, we numerically identify multiple EPs in a parameter space and confirm the simultaneous degeneracy of scattering poles through numerical experiments. The proposed method and findings enable the exploration of applications in practical three-dimension models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08560 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Observation of exceptional points in a spherical open elastic system Deguchi, Hiroaki Matsushima, Kei Yamada, Takayuki Classical Physics Applied Physics 74J20 (Primary), 74J05 (Secondary) Exceptional points (EPs) are spectral singularities in non-Hermitian systems where eigenvalues and their corresponding eigenstates coalesce simultaneously. In this study, we calculate scattering poles in an open spherical solid and propose a depth-first search-based method to identify EPs. Using the proposed method, we numerically identify multiple EPs in a parameter space and confirm the simultaneous degeneracy of scattering poles through numerical experiments. The proposed method and findings enable the exploration of applications in practical three-dimension models. |
| title | Observation of exceptional points in a spherical open elastic system |
| topic | Classical Physics Applied Physics 74J20 (Primary), 74J05 (Secondary) |
| url | https://arxiv.org/abs/2409.08560 |