Operator growth in the SYK model
High Energy Physics - Theory
2018-08-01 v1
Abstract
We discuss the probability distribution for the "size" of a time-evolving operator in the SYK model. Scrambling is related to the fact that as time passes, the distribution shifts towards larger operators. Initially, the rate is exponential and determined by the infinite-temperature chaos exponent. We evaluate the size distribution numerically for , and show how to compute it in the large- theory using the dressed fermion propagator. We then evaluate the distribution explicitly at leading nontrivial order in the large- expansion.
Cite
@article{arxiv.1802.02633,
title = {Operator growth in the SYK model},
author = {Daniel A. Roberts and Douglas Stanford and Alexandre Streicher},
journal= {arXiv preprint arXiv:1802.02633},
year = {2018}
}
Comments
18 pages, 2 official figures, many unofficial figures