Spectrum for a non-unitary one-dimensional two-state quantum walk with one defect
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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_ | 1866912690313625600 |
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| author | Endo, Takako Matsumoto, Yohei Ohno, Hiromichi Suzuki, Akito |
| author_facet | Endo, Takako Matsumoto, Yohei Ohno, Hiromichi Suzuki, Akito |
| contents | Existence of the eigenvalues of the discrete-time quantum walks is deeply related to localization. Also, for the study of open quantum systems, non-Hermitian systems have attracted much attention. As mathematical models for such systems, non-unitary quantum walks with the chiral symmetry are essential for the study of the topological insulator. In this paper, we give the whole picture of the eigenvalues of a non-unitary one-dimensional two-state quantum walks with one defect and the chiral symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04098 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectrum for a non-unitary one-dimensional two-state quantum walk with one defect Endo, Takako Matsumoto, Yohei Ohno, Hiromichi Suzuki, Akito Mathematical Physics Existence of the eigenvalues of the discrete-time quantum walks is deeply related to localization. Also, for the study of open quantum systems, non-Hermitian systems have attracted much attention. As mathematical models for such systems, non-unitary quantum walks with the chiral symmetry are essential for the study of the topological insulator. In this paper, we give the whole picture of the eigenvalues of a non-unitary one-dimensional two-state quantum walks with one defect and the chiral symmetry. |
| title | Spectrum for a non-unitary one-dimensional two-state quantum walk with one defect |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2511.04098 |