Proposal for many-body quantum chaos detection with single-site measurements
Statistical Mechanics
2025-10-20 v1 Disordered Systems and Neural Networks
Abstract
We demonstrate that the long-time dynamics of an observable associated with a single lattice site is sufficient to determine whether a many-body quantum system exhibits level statistics characteristic of random matrix theory, a widely used diagnostic of quantum chaos. In particular, we focus on the partial survival probability and spin autocorrelation function at a single site, both evolved under a disordered spin-1/2 chain, which is a setup realizable in current experimental platforms. Given the precision and timescales currently achievable, our results indicate that the detection of many-body quantum chaos is feasible, but constrained to small system sizes.
Keywords
Cite
@article{arxiv.2505.05572,
title = {Proposal for many-body quantum chaos detection with single-site measurements},
author = {Isaías Vallejo-Fabila and Adway Kumar Das and Sayan Choudhury and Lea F. Santos},
journal= {arXiv preprint arXiv:2505.05572},
year = {2025}
}
Comments
8 pages, 6 figures