Non-Hermitian tearing by dissipation
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866914848926859264 |
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| author | Du, Qian Ma, Xin-Ran Kou, Su-Peng |
| author_facet | Du, Qian Ma, Xin-Ran Kou, Su-Peng |
| contents | In the paper, we study the non-Hermitian system under dissipation and give the effective 2*2 Hamiltonian in the k-space by reducing the N*N Hamiltonian in the real space for them. It is discovered that the energy band shows an imaginary line gap. To describe these phenomena, we propose the theory of "non-Hermitian tearing", in which the tearability we define reveals a continuous phase transition at the exceptional point. The non-Hermitian tearing manifests in two forms -- separation of bulk state and decoupling of boundary state. In addition, we also explore the one-dimensional Su-Schrieffer-Heeger model and the Qi-Wu-Zhang model under dissipation using the theory of non-Hermitian tearing. Our results provide a theoretical approach for exploring the controlling of non-Hermitian physics on topological quantum states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_14340 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-Hermitian tearing by dissipation Du, Qian Ma, Xin-Ran Kou, Su-Peng Mesoscale and Nanoscale Physics Quantum Physics In the paper, we study the non-Hermitian system under dissipation and give the effective 2*2 Hamiltonian in the k-space by reducing the N*N Hamiltonian in the real space for them. It is discovered that the energy band shows an imaginary line gap. To describe these phenomena, we propose the theory of "non-Hermitian tearing", in which the tearability we define reveals a continuous phase transition at the exceptional point. The non-Hermitian tearing manifests in two forms -- separation of bulk state and decoupling of boundary state. In addition, we also explore the one-dimensional Su-Schrieffer-Heeger model and the Qi-Wu-Zhang model under dissipation using the theory of non-Hermitian tearing. Our results provide a theoretical approach for exploring the controlling of non-Hermitian physics on topological quantum states. |
| title | Non-Hermitian tearing by dissipation |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2307.14340 |