Spectral Form Factor in Sparse SYK Models
High Energy Physics - Theory
2022-08-25 v2 Strongly Correlated Electrons
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 out of reach of current numerical simulations.
Keywords
Cite
@article{arxiv.2204.07194,
title = {Spectral Form Factor in Sparse SYK Models},
author = {Elena Cáceres and Anderson Misobuchi and Amir Raz},
journal= {arXiv preprint arXiv:2204.07194},
year = {2022}
}
Comments
21 pages, 11 figures V2: Minor edits and lower resolution figures