Spectral Form Factor in Non-Gaussian Random Matrix Theories

Understand

We consider Random Matrix Theories with non-Gaussian potentials that have a rich phase structure in the large $N$ limit.

• We calculate the Spectral Form Factor (SFF) in such models and present them as interesting examples of dynamical models that display multi-criticality at short time-scales and universality at large time scales.
• The models with quartic and sextic potentials are explicitly worked out.
• The disconnected part of the Spectral Form Factor (SFF) shows a change in its decay behavior exactly at the critical points of each model.