Spectral Form Factor of a Quantum Spin Glass

Understand

It is widely expected that systems which fully thermalize are chaotic in the sense of exhibiting random-matrix statistics of their energy level spacings, whereas integrable systems exhibit Poissonian statistics.

• In this paper, we investigate a third class: spin glasses.
• These systems are partially chaotic but do not achieve full thermalization due to large free energy barriers.
• We examine the level spacing statistics of a canonical infinite-range quantum spin glass, the quantum $p$-spherical model, using an analytic path integral approach.