QUANTUM RESONANCES DUE TO CLASSICAL STABILITY ISLANDS

We have studied the scattering of a one-dimensional particle by a time-periodically kicked potential. In the classical case, this system displays irregular scattering. We show that the presence of a large stability island in the classical phase space leads to sharp resonances in the quantum case. Using the corresponding time-independent system the localization of the resonances is predicted by a first-order perturbation theory. We show that the observed resonance patterns are closely connected with the quantum tunneling between the chaotic and stability regions of the classical phase space. © 1994 The American Physical Society.