Mixed dynamics from the classical and quantum ergodic hierarchy
Mathematical Physics
2025-07-09 v1 math.MP
Abstract
Based on the classical and quantum ergodic hierarchy, a framework for mixed systems with a phase space composed by two uncorrelated integrable and chaotic regions is presented. It provides some features of mixed systems connecting the intuitive notion of a mixed phase space with the mixing level of the ergodic hierarchy. The formalism is illustrated with the kicked rotator.
Keywords
Cite
@article{arxiv.2507.05603,
title = {Mixed dynamics from the classical and quantum ergodic hierarchy},
author = {Ignacio S. Gomez and Federico H. Holik},
journal= {arXiv preprint arXiv:2507.05603},
year = {2025}
}