We consider a two-level quantum system subject to kicks with a quasiperiodically modulated amplitude. It is shown that, depending on the type of the function that generates the amplitude modulation, two types of spectra can be observed: a discrete one and a singular continuous one. A renormalization group approach is developed for the description of the correlation properties of the system. The two types of spectra are shown to correspond to two fixed points of the renormalization transformation, one in the class of continuous functions and another in the class of discontinuous ones. The crossover between the two types of behavior is investigated numerically.
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Feudel et al. (1995) studied this question.
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