Thouless time for mass-deformed SYK

Understand

We study the onset of RMT dynamics in the mass-deformed SYK model (i.e.

• an SYK model deformed by a quadratic random interaction) in terms of the strength of the quadratic deformation.
• We use as chaos probes both the connected unfolded Spectral Form Factor (SFF) as well as the Gaussian-filtered SFF, which has been recently introduced in the literature.
• We show that they detect the chaotic/integrable transition of the mass-deformed SYK model at different values of the mass deformation: the Gaussian-filtered SFF sees the transition for large values of the mass deformation; the connected unfolded SFF sees the transition at small values.