Quantum Geometric Bounds in Non-Hermitian Systems
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917174298279936 |
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| author | Matraszek, Milosz Jankowski, Wojciech J. Behrends, Jan |
| author_facet | Matraszek, Milosz Jankowski, Wojciech J. Behrends, Jan |
| contents | We identify quantum geometric bounds for observables in non-Hermitian systems. We find unique bounds on non-Hermitian quantum geometric tensors, generalized two-point response correlators, conductivity tensors, and optical weights. We showcase these findings in topological systems with non-Hermitian Chern numbers. We demonstrate that the non-Hermitian geometric constraints on response functions naturally arise in open quantum systems governed by out-of-equilibrium Lindbladian dynamics. Our findings are relevant to experimental observables and responses under the realistic setups that fall beyond the idealized closed-system descriptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23708 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Geometric Bounds in Non-Hermitian Systems Matraszek, Milosz Jankowski, Wojciech J. Behrends, Jan Quantum Physics Mesoscale and Nanoscale Physics Optics We identify quantum geometric bounds for observables in non-Hermitian systems. We find unique bounds on non-Hermitian quantum geometric tensors, generalized two-point response correlators, conductivity tensors, and optical weights. We showcase these findings in topological systems with non-Hermitian Chern numbers. We demonstrate that the non-Hermitian geometric constraints on response functions naturally arise in open quantum systems governed by out-of-equilibrium Lindbladian dynamics. Our findings are relevant to experimental observables and responses under the realistic setups that fall beyond the idealized closed-system descriptions. |
| title | Quantum Geometric Bounds in Non-Hermitian Systems |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Optics |
| url | https://arxiv.org/abs/2512.23708 |