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High Energy Physics - Theory
Title: From Chaos to Integrability in Double Scaled SYK
(Submitted on 4 Mar 2024 (v1), last revised 3 May 2024 (this version, v2))
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 a critical point.
Submission history
From: Ohad Mamroud [view email][v1] Mon, 4 Mar 2024 11:39:38 GMT (175kb,D)
[v2] Fri, 3 May 2024 08:56:37 GMT (175kb,D)
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