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The derivations holds for any canonical variables, e.g., coordinates and momentum ( q,p ), and for many-degrees of freedom

Canonical variables In relation to the problem studied in the paper, we consider action-a ngle variables (I, Θ)

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Quasi-integrable systems are slow to thermalize but may be good scramblers

quant-ph · 2019-09-04 · conditional · novelty 6.0

For a weakly noise-driven integrable quantum system, the OTOC grows at the classical Lyapunov rate (scaling as epsilon^{1/3}) in the semiclassical limit, but quantum effects suppress the Lyapunov regime at low quantum numbers or very weak perturbations.

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  • Quasi-integrable systems are slow to thermalize but may be good scramblers quant-ph · 2019-09-04 · conditional · none · ref 5

    For a weakly noise-driven integrable quantum system, the OTOC grows at the classical Lyapunov rate (scaling as epsilon^{1/3}) in the semiclassical limit, but quantum effects suppress the Lyapunov regime at low quantum numbers or very weak perturbations.