Dependence of Lindbladian spectral statistics on the integrability of no-jump Hamiltonians and the recycling terms
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914436585881600 |
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| author | Wang, Dingzu Zhu, Hao Zhang, Guo-Feng Poletti, Dario |
| author_facet | Wang, Dingzu Zhu, Hao Zhang, Guo-Feng Poletti, Dario |
| contents | Spectral statistics probe integrability versus chaos and have recently been extended to Markovian open quantum systems described by Lindbladians, whose quantum-trajectory unraveling decomposes the evolution into no-jump dynamics generated by an effective non-Hermitian Hamiltonian and recycling jumps. In this work, we perform spectrum-statistics diagnostics for Lindbladians and their effective non-Hermitian Hamiltonians. We show that recycling processes, symmetry constraints, and the Liouville-space structure crucially shape the spectral correlations. In particular, we identify a family of spectrally separable Lindbladians whose spectra exhibit robust Poisson statistics, despite the effective non-Hermitian Hamiltonian varying from Poisson to Ginibre statistics. Our work establishes a unified spectral-statistics characterization for Lindbladians and their associated effective non-Hermitian Hamiltonians, deepening our understanding of spectral properties in open many-body systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_18946 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dependence of Lindbladian spectral statistics on the integrability of no-jump Hamiltonians and the recycling terms Wang, Dingzu Zhu, Hao Zhang, Guo-Feng Poletti, Dario Quantum Physics Statistical Mechanics Spectral statistics probe integrability versus chaos and have recently been extended to Markovian open quantum systems described by Lindbladians, whose quantum-trajectory unraveling decomposes the evolution into no-jump dynamics generated by an effective non-Hermitian Hamiltonian and recycling jumps. In this work, we perform spectrum-statistics diagnostics for Lindbladians and their effective non-Hermitian Hamiltonians. We show that recycling processes, symmetry constraints, and the Liouville-space structure crucially shape the spectral correlations. In particular, we identify a family of spectrally separable Lindbladians whose spectra exhibit robust Poisson statistics, despite the effective non-Hermitian Hamiltonian varying from Poisson to Ginibre statistics. Our work establishes a unified spectral-statistics characterization for Lindbladians and their associated effective non-Hermitian Hamiltonians, deepening our understanding of spectral properties in open many-body systems. |
| title | Dependence of Lindbladian spectral statistics on the integrability of no-jump Hamiltonians and the recycling terms |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2603.18946 |