Spectral Form Factor in Sparse SYK Models

Abstract

We investigate the spectral form factor of the sparse Sachdev-Ye-Kitaev model. We use numerical methods to establish that at intermediate times the connected part of the spectral form factor is the dominant one. These connected contributions arise from fluctuations around the disconnected geometry, not from a new saddle point. A similar effect was previously conjectured in SYK but required a value of $N$ out of reach of current numerical simulations.

21 pages, 11 figures V2: Minor edits and lower resolution figures

References in corpus (3)

• Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
• Sparse Sachdev-Ye-Kitaev model, quantum chaos and gravity duals
• Sparse SYK and traversable wormholes

Cited by in corpus (1)

• Spectral form factors and dynamical localization