Traces of a quantum antiresonance in a driven system

It has been shown previously that classically chaotic kicked systems, whose unperturbed spectrum possesses one energy scale, exhibit a quantum antiresonance (QAR) behavior. Under the QAR condition, the quantum evolution is completely periodic. In this study we extend the conditions under which this QAR occurs for the case of a two-sided kicked one-dimensional infinite potential well. It is then shown by a perturbative argument that this QAR affects the behavior of the equivalent driven well, namely, the number of periods needed to leave the initial state has a sharp peak around the QAR. We give numerical evidence that the antiresonance persists even for large values of the perturbation parameter. This manifestation of the QAR is experimentally realizable by looking at the absorption spectrum of a quantum well.