E. Eisenberg et al., TRACES OF A QUANTUM ANTIRESONANCE IN A DRIVEN SYSTEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(1), 1996, pp. 389-392
It has been shown previously that classically chaotic kicked systems,
whose unperturbed spectrum possesses one energy scale, exhibit a quant
um antiresonance (QAR) behavior. Under the QAR condition, the quantum
evolution is completely periodic. In this study we extend the conditio
ns under which this QAR occurs for the case of a two-sided kicked one-
dimensional infinite potential well. It is then shown by a perturbativ
e 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 param
eter. This manifestation of the QAR is experimentally realizable by lo
oking at the absorption spectrum of a quantum well.