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Dual symmetry classification of non-Hermitian systems and Z2 point-gap topology of a nonunitary quantum walk
| Title: | Dual symmetry classification of non-Hermitian systems and Z2 point-gap topology of a nonunitary quantum walk |
| Authors: | Jiang, Zhiyu Browse this author | | Okamoto, Ryo Browse this author →KAKEN DB | | Obuse, Hideaki Browse this author →KAKEN DB |
| Issue Date: | 15-Jun-2024 |
| Publisher: | American Physical Society (APS) |
| Journal Title: | Physical Review B |
| Volume: | 109 |
| Issue: | 23 |
| Start Page: | 235408 |
| Publisher DOI: | 10.1103/PhysRevB.109.235408 |
| Abstract: | Non-Hermitian systems exhibit richer topological properties compared to their Hermitian counterparts. It is well known that non-Hermitian systems have been classified based on either the symmetry relations for nonHermitian Hamiltonians or the symmetry relations for nonunitary time-evolution operators in the context of Floquet topological phases. In this work, we propose that non-Hermitian systems can always be classified in two ways; a non-Hermitian system can be classified using the symmetry relations for non-Hermitian Hamiltonians or time-evolution operator regardless of the Floquet topological phases or not. We refer to this as dual symmetry classification. To demonstrate this, we successfully introduce a nonunitary quantum walk that exhibits point gaps with a Z2 point-gap topological phase applying the dual symmetry classification and treating the time-evolution operator of this quantum walk as the non-Hermitian Hamiltonian. |
| Rights: | ©[2024] American Physical Society |
| Type: | article |
| URI: | http://hdl.handle.net/2115/92721 |
| Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 小布施 秀明
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