Benchmarking quantum chaos from geometric complexity
High Energy Physics - Theory
2025-03-27 v2 General Relativity and Quantum Cosmology
Quantum Physics
Abstract
Recent studies have shown that there is a strong interplay between quantum complexity and quantum chaos. In this work, we consider a new method to study geometric complexity for interacting non-Gaussian quantum mechanical systems to benchmark the quantum chaos in a well-known oscillator model. In particular, we study the circuit complexity for the unitary time-evolution operator of a non-Gaussian bosonic quantum mechanical system. Our results indicate that, within some limitations, geometric complexity can indeed be a good indicator of quantum chaos.
Cite
@article{arxiv.2410.18754,
title = {Benchmarking quantum chaos from geometric complexity},
author = {Arpan Bhattacharyya and Suddhasattwa Brahma and Satyaki Chowdhury and Xiancong Luo},
journal= {arXiv preprint arXiv:2410.18754},
year = {2025}
}
Comments
23 pages, 4 figures, paper published on JHEP