In the framework of an exactly soluble model, one considers a typical problem of the interaction between radiation and matter: the dynamics of population in a multilevel quantum system subject to a time dependent perturbation. The algebraic structure of the model is taken richly enough, such that there exists a strong argument in favor of the fact that the behavior of the system in the asymptotic of long time has a universal character, which is system-independent and governed by the functional property of the time dependence exclusively. Functional properties of the excitation time dependence, resulting in the regimes of resonant excitation, random walks, and dynamic localization, are identified. Moreover, an intermediate regime between the random walks and the localization is identified for the polyharmonic excitation at frequencies given by the Liouville numbers.

中文翻译：

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时变扰动下多能级量子系统长时渐近的普遍规则

在完全可解模型的框架中，人们考虑了辐射与物质相互作用的典型问题：受时间相关扰动影响的多能级量子系统中的布居动力学。模型的代数结构取得足够丰富，使得系统在长时间渐近线中的行为具有普遍性、与系统无关并受泛函支配的事实存在有力的论据。时间相关性的唯一属性。激发时间依赖性的功能特性，导致共振激发、随机游走和动态定位的制度，被确定。而且，