From Dyson Models to Many-Body Quantum Chaos
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866909474963324928 |
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| author | Andreanov, Alexei Carrega, Matteo Murugan, Jeff Olle, Jan Rosa, Dario Shir, Ruth |
| author_facet | Andreanov, Alexei Carrega, Matteo Murugan, Jeff Olle, Jan Rosa, Dario Shir, Ruth |
| contents | A deep understanding of the mechanisms underlying many-body quantum chaos is one of the big challenges in contemporary theoretical physics. We tackle this problem in the context of a set of perturbed quadratic Sachdev-Ye-Kitaev (SYK) Hamiltonians defined on graphs. This allows us to disentangle the geometrical properties of the underlying single-particle problem and the importance of the interaction terms, showing that the former is the dominant feature ensuring the single-particle to many-body chaotic transition. Our results are verified numerically with state-of-the-art numerical techniques, capable of extracting eigenvalues in a desired energy window of very large Hamiltonians. Our approach essentially provides a new way of viewing many-body chaos from a single-particle perspective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_00917 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | From Dyson Models to Many-Body Quantum Chaos Andreanov, Alexei Carrega, Matteo Murugan, Jeff Olle, Jan Rosa, Dario Shir, Ruth Quantum Physics Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory A deep understanding of the mechanisms underlying many-body quantum chaos is one of the big challenges in contemporary theoretical physics. We tackle this problem in the context of a set of perturbed quadratic Sachdev-Ye-Kitaev (SYK) Hamiltonians defined on graphs. This allows us to disentangle the geometrical properties of the underlying single-particle problem and the importance of the interaction terms, showing that the former is the dominant feature ensuring the single-particle to many-body chaotic transition. Our results are verified numerically with state-of-the-art numerical techniques, capable of extracting eigenvalues in a desired energy window of very large Hamiltonians. Our approach essentially provides a new way of viewing many-body chaos from a single-particle perspective. |
| title | From Dyson Models to Many-Body Quantum Chaos |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2302.00917 |