From Chaos to Integrability in Double Scaled Sachdev-Ye-Kitaev Model via a Chord Path Integral
Year: 2024
Type: article
Abstract: 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.
Source: Physical Review Letters
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,750
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, Division of Mathematical Sciences, H2020 European Research Council
OpenAlex ID: W4404738973