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From Chaos to compression: Emergent simplicity in semiclassical density matrices

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  • Plastino, A.
  • Kowalski, A.M.

Abstract

We revisit a semiclassical Hamiltonian model in which quantum operators (xˆ,pˆ) are coupled to classical canonical variables (A,PA), a framework relevant to strong-field interactions such as meson pair production. Conventional wisdom associates chaos with proliferating disorder and growing entropy. Here we show the opposite: in the strict classical limit, the chaotic dynamics is represented not by a maximally mixed density matrix but by a pure state, indicating drastic information compression. Rather than amplifying complexity, the irregular detail of chaotic trajectories collapses into a minimal representation, exemplifying the principle of emergent simplicity. This result highlights how semiclassical systems can transform apparent disorder into compact information structures, providing a concrete and transparent realization of compression mechanisms that also appear in statistical mechanics and many-body quantum systems.

Suggested Citation

  • Plastino, A. & Kowalski, A.M., 2026. "From Chaos to compression: Emergent simplicity in semiclassical density matrices," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
    • Handle: RePEc:eee:chsofr:v:203:y:2026:i:c:s0960077925017151
    DOI: 10.1016/j.chaos.2025.117702
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