From Chaos to Integrability in Double Scaled Sachdev-Ye-Kitaev Model via a Chord Path Integral
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.
Authors
- Ohad Mamroud (ORCID: https://orcid.org/0000-0002-7308-7712)
- Nadav Brukner
- Yiyang Jia (ORCID: https://orcid.org/0000-0001-9006-2990)
- Micha Berkooz (ORCID: https://orcid.org/0000-0002-1359-7243)
Institutions
- Scuola Internazionale Superiore di Studi Avanzati (IT)
- Weizmann Institute of Science (IL)
Publication Details
- Journal
- Physical Review Letters
- Published
- 2024-11-26
- DOI
- https://doi.org/10.1103/physrevlett.133.221602
- Citations
- 6
- Primary Topic
- Quantum many-body systems
- Type
- article
- Field-Weighted Citation Impact
- 2.03
Funders
- Minerva Foundation
- Deutsche Forschungsgemeinschaft
- German-Israeli Foundation for Scientific Research and Development
- Ministero dell’Istruzione, dell’Università e della Ricerca
- Israel Science Foundation
- Tsinghua University
- Multidisciplinary University Research Initiative
- Instituto Nazionale di Fisica Nucleare
- H2020 European Research Council