From Chaos to Integrability in Double Scaled SYK via a Chord Path Integral
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917812871626752 |
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| author | Berkooz, Micha Brukner, Nadav Jia, Yiyang Mamroud, Ohad |
| author_facet | Berkooz, Micha Brukner, Nadav Jia, Yiyang Mamroud, Ohad |
| contents | We study thermodynamic phase transitions between integrable and chaotic dynamics. We do so by analyzing models that interpolate between the chaotic double scaled Sachdev-Ye-Kitaev (SYK) and the integrable $p$-spin systems, in a limit where they are described by chord diagrams. We develop a path integral formalism by coarse graining over the diagrams, which we use to argue that the system has two distinct phases: one is continuously connected to the chaotic system, and the other to the integrable. They are separated by a line of first order transition that ends at some finite temperature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01950 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | From Chaos to Integrability in Double Scaled SYK via a Chord Path Integral Berkooz, Micha Brukner, Nadav Jia, Yiyang Mamroud, Ohad High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons We study thermodynamic phase transitions between integrable and chaotic dynamics. We do so by analyzing models that interpolate between the chaotic double scaled Sachdev-Ye-Kitaev (SYK) and the integrable $p$-spin systems, in a limit where they are described by chord diagrams. We develop a path integral formalism by coarse graining over the diagrams, which we use to argue that the system has two distinct phases: one is continuously connected to the chaotic system, and the other to the integrable. They are separated by a line of first order transition that ends at some finite temperature. |
| title | From Chaos to Integrability in Double Scaled SYK via a Chord Path Integral |
| topic | High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2403.01950 |