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Open Quantum Systems Decoherence Quantum Machine Learning

Hamiltonian Chaos

arXiv
Authors: Steven Tomsovic

Year

2026

Paper ID

48820

Status

Preprint

Abstract Read

~2 min

Abstract Words

111

Citations

0

Abstract

Through semiclassical methods the subject of quantum chaos motivates and depends on Hamiltonian chaos research. Presented here is a selection of Hamiltonian chaos topics that in this way get directly related to any of a variety of quantum chaos research problems. The chapter begins with a description of various useful theoretical and computational tools of chaos research, e.g. surfaces of section, paradigms of chaos, stability analysis, and symbolic dynamics... This is followed by discussions regarding the geometry of chaos, how chaotic systems respond to perturbations, and the complexification of Hamiltonian dynamics. The emphasis is on intuitive explanations and illustrations of various ideas with the references containing more mathematically rigorous expositions.

Why This Paper Matters

  • This paper contributes to the Quantum Machine Learning research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • Through semiclassical methods the subject of quantum chaos motivates and depends on Hamiltonian chaos research.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2604.12976 [2] arXiv https://arxiv.org/abs/2604.12976 [3] Publisher https://arxiv.org/abs/2604.12976

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal • updated 2026-06-14 06:00:41

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