Related Experiment Video
Updated: Jun 5, 2025

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
From Chaos to Integrability in Double Scaled Sachdev-Ye-Kitaev Model via a Chord Path Integral
Micha Berkooz1, Nadav Brukner1, Yiyang Jia1
1Department of Particle Physics and Astrophysics, <a href="https://ror.org/0316ej306">Weizmann Institute of Science</a>, Rehovot 7610001, Israel.
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.
Related Concept Videos
Entropy Change in Reversible Processes
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
Differential Form of Maxwell's Equations
Second Derivatives and Laplace Operator
Consider a scalar function. The curl of its...
Second Order systems II
Transmission-Line Differential Equations
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
Region of Convergence of Laplace Tarnsform
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This...

