Notes on solvable models of many-body quantum chaos
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913474303492096 |
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| author | Yao, Shunyu |
| author_facet | Yao, Shunyu |
| contents | We study a class of many body chaotic models related to the Brownian Sachdev-Ye-Kitaev model. An emergent symmetry maps the quantum dynamics into a classical stochastic process. Thus we are able to study many dynamical properties at finite N on an arbitrary graph structure. A comprehensive study of operator size growth with or without spatial locality is presented. We will show universal behaviors emerge at large N limit, and compare them with field theory method. We also design simple stochastic processes as an intuitive way of thinking about many-body chaotic behaviors. Other properties including entanglement growth and other variants of this solvable models are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11123 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Notes on solvable models of many-body quantum chaos Yao, Shunyu Quantum Physics Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory We study a class of many body chaotic models related to the Brownian Sachdev-Ye-Kitaev model. An emergent symmetry maps the quantum dynamics into a classical stochastic process. Thus we are able to study many dynamical properties at finite N on an arbitrary graph structure. A comprehensive study of operator size growth with or without spatial locality is presented. We will show universal behaviors emerge at large N limit, and compare them with field theory method. We also design simple stochastic processes as an intuitive way of thinking about many-body chaotic behaviors. Other properties including entanglement growth and other variants of this solvable models are discussed. |
| title | Notes on solvable models of many-body quantum chaos |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.11123 |