pith. machine review for the scientific record. sign in

arxiv: 1802.02633 · v1 · submitted 2018-02-07 · ✦ hep-th

Recognition: unknown

Operator growth in the SYK model

Daniel A. Roberts , Douglas Stanford , Alexandre Streicher
Authors on Pith no claims yet
classification ✦ hep-th
keywords distributionevaluatelarge-modeloperatorsizechaoscompute
0
0 comments X
read the original 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 $N = 30$, and show how to compute it in the large-$N$ theory using the dressed fermion propagator. We then evaluate the distribution explicitly at leading nontrivial order in the large-$q$ expansion.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas

    hep-th 2026-03 unverdicted novelty 7.0

    LogK complexity via replicas distinguishes genuine scrambling from saddle effects in quantum and classical systems and refines the measure for integrable cases.