Stabilizer entropy in non-integrable quantum evolutions
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866918140848373760 |
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| author | Odavić, Jovan Viscardi, Michele Hamma, Alioscia |
| author_facet | Odavić, Jovan Viscardi, Michele Hamma, Alioscia |
| contents | Entanglement and stabilizer entropy are both involved in the onset of complex behavior in quantum many-body systems. Their interplay is at the root of complexity of simulability, scrambling, thermalization and typicality. In this work, we study the dynamics of entanglement, stabilizer entropy, and the anti-flatness of the entanglement spectrum after a quantum quench in a spin chain. We find that free-fermion theories show a gap in the long-time behavior of these resources compared to their random matrix theory value while non-integrable models saturate it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10228 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stabilizer entropy in non-integrable quantum evolutions Odavić, Jovan Viscardi, Michele Hamma, Alioscia Quantum Physics Strongly Correlated Electrons High Energy Physics - Theory Chaotic Dynamics Exactly Solvable and Integrable Systems Entanglement and stabilizer entropy are both involved in the onset of complex behavior in quantum many-body systems. Their interplay is at the root of complexity of simulability, scrambling, thermalization and typicality. In this work, we study the dynamics of entanglement, stabilizer entropy, and the anti-flatness of the entanglement spectrum after a quantum quench in a spin chain. We find that free-fermion theories show a gap in the long-time behavior of these resources compared to their random matrix theory value while non-integrable models saturate it. |
| title | Stabilizer entropy in non-integrable quantum evolutions |
| topic | Quantum Physics Strongly Correlated Electrons High Energy Physics - Theory Chaotic Dynamics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2412.10228 |