# Similar early growth of out-of-time-ordered correlators in quantum chaotic and integrable Ising chains

## TL;DR

This paper demonstrates through numerical simulations that out-of-time-ordered correlators exhibit similar early growth in both integrable and chaotic quantum Ising chains, challenging the expectation of distinct long-term behaviors.

## Contribution

The study reveals that early growth of OTOC is similar in both integrable and chaotic quantum many-body systems, providing new insights into quantum dynamics.

## Key findings

- OTOC shows similar early growth in integrable and chaotic systems
- Numerical simulations support the early growth similarity
- Challenges previous notions of long-term divergence

## Abstract

Previous studies show that, in quantum chaotic and integrable systems, the so-called out-of-time-ordered correlator (OTOC) generically behaves differently at long times, while, it may show similar early growth in one-body systems. In this paper, by means of numerical simulations, it is shown that OTOC has similar early growth in two quantum many-body systems, one integrable and one chaotic.