Complex Frequency Fingerprint: Interacting Driven Non-Hermitian Skin Effect
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916964185669632 |
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| author | Yang, Zhesen Wang, Zihan Huang, Juntao Zheng, Zijian Hu, Jiangping |
| author_facet | Yang, Zhesen Wang, Zihan Huang, Juntao Zheng, Zijian Hu, Jiangping |
| contents | The excitation properties of quantum many-body systems are encoded in their response functions. These functions define an associated response Hamiltonian, which is intrinsically non-Hermitian due to the dissipative nature of retarded responses, even in closed systems. By analyzing its eigenvalues and eigenstates, one obtains a unique characterization of the system, referred to as the complex frequency fingerprint. Using this framework, we demonstrate that interactions alone can give rise to both point-gap topology and the non-Hermitian skin effect. Unlike the dissipation-induced skin effect, this interaction-driven phenomenon exhibits pronounced frequency dependence. We further introduce a complex-frequency density of states framework that distinctly separates non-Hermitian skin modes from topological edge modes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_18828 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Complex Frequency Fingerprint: Interacting Driven Non-Hermitian Skin Effect Yang, Zhesen Wang, Zihan Huang, Juntao Zheng, Zijian Hu, Jiangping Mesoscale and Nanoscale Physics Strongly Correlated Electrons The excitation properties of quantum many-body systems are encoded in their response functions. These functions define an associated response Hamiltonian, which is intrinsically non-Hermitian due to the dissipative nature of retarded responses, even in closed systems. By analyzing its eigenvalues and eigenstates, one obtains a unique characterization of the system, referred to as the complex frequency fingerprint. Using this framework, we demonstrate that interactions alone can give rise to both point-gap topology and the non-Hermitian skin effect. Unlike the dissipation-induced skin effect, this interaction-driven phenomenon exhibits pronounced frequency dependence. We further introduce a complex-frequency density of states framework that distinctly separates non-Hermitian skin modes from topological edge modes. |
| title | Complex Frequency Fingerprint: Interacting Driven Non-Hermitian Skin Effect |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2509.18828 |