Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos
High Energy Physics - Theory
2021-10-20 v2 Chaotic Dynamics
Quantum Physics
Abstract
We investigate circuit complexity to characterize chaos in multiparticle quantum systems. In the process, we take a stride to analyze open quantum systems by using complexity. We propose a new diagnostic of quantum chaos from complexity based on the reduced density matrix by exploring different types of quantum circuits. Through explicit calculations on a toy model of two coupled harmonic oscillators, where one or both of the oscillators are inverted, we demonstrate that the evolution of complexity is a possible diagnostic of chaos.
Keywords
Cite
@article{arxiv.2011.04705,
title = {Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos},
author = {Arpan Bhattacharyya and S. Shajidul Haque and Eugene H. Kim},
journal= {arXiv preprint arXiv:2011.04705},
year = {2021}
}
Comments
26 pages, 9 figures, references updated, clarifying text added