Chaos and Complexity for Inverted Harmonic Oscillators
High Energy Physics - Theory
2022-11-22 v2
Abstract
We investigate the circuit complexity and Loschmidt echo for the (inverted) harmonic oscillators. Focusing on the chaotic behaviors under the perturbation, we analytically derive the Lyapunov exponent and scrambling time of the inverted harmonic oscillators. We show that the circuit complexity and Loschmidt echo exhibit qualitatively similar behaviors, particularly the consistent Lyapunov exponent.
Keywords
Cite
@article{arxiv.2111.07351,
title = {Chaos and Complexity for Inverted Harmonic Oscillators},
author = {Le-Chen Qu and Jing Chen and Yu-Xiao Liu},
journal= {arXiv preprint arXiv:2111.07351},
year = {2022}
}
Comments
20 pages, 2 figures, references added