Mesoscopic Regimes of Temporal Entanglement in Ergodic Quantum Systems
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arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914545904123904 |
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| author | Cerezo-Roquebrún, Sergio Schneider, Jan Thorben Carignano, Stefano Bou-Comas, Aleix Bañuls, Mari Carmen López, Esperanza Tagliacozzo, Luca |
| author_facet | Cerezo-Roquebrún, Sergio Schneider, Jan Thorben Carignano, Stefano Bou-Comas, Aleix Bañuls, Mari Carmen López, Esperanza Tagliacozzo, Luca |
| contents | We study temporal correlations in interacting quantum systems through the influence functional of a half-infinite quantum Ising chain. Using Rényi entropies and temporal mutual information, we confirm that integrable dynamics is captured by the quasiparticle picture. In contrast, generic ergodic Hamiltonian dynamics exhibits pronounced deviations from random-circuit universality, and its generalization including a symmetry accounting for energy conservation. Instead, we find a long mesoscopic regime suggestive of a slow spectral reorganization of the influence functional. Our results reveal a rich temporal structure in generic Hamiltonian dynamics and point to limitations of existing random-circuit paradigms at experimentally and numerically relevant timescales. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_08356 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mesoscopic Regimes of Temporal Entanglement in Ergodic Quantum Systems Cerezo-Roquebrún, Sergio Schneider, Jan Thorben Carignano, Stefano Bou-Comas, Aleix Bañuls, Mari Carmen López, Esperanza Tagliacozzo, Luca Quantum Physics Statistical Mechanics We study temporal correlations in interacting quantum systems through the influence functional of a half-infinite quantum Ising chain. Using Rényi entropies and temporal mutual information, we confirm that integrable dynamics is captured by the quasiparticle picture. In contrast, generic ergodic Hamiltonian dynamics exhibits pronounced deviations from random-circuit universality, and its generalization including a symmetry accounting for energy conservation. Instead, we find a long mesoscopic regime suggestive of a slow spectral reorganization of the influence functional. Our results reveal a rich temporal structure in generic Hamiltonian dynamics and point to limitations of existing random-circuit paradigms at experimentally and numerically relevant timescales. |
| title | Mesoscopic Regimes of Temporal Entanglement in Ergodic Quantum Systems |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2605.08356 |