Quantum and classical echoes in scattering systems described by simple Smale horseshoes
Centro de Ciencias Físicas, University of Mexico (UNAM) -
2 Centro internacional de Ciencias - Cuernavaca, Mexico
Accepted: 20 June 2001
We explore the quantum scattering of systems classically described by binary and other low-order Smale horseshoes, in a stage of development where the stable island associated with the inner periodic orbit is large, but chaos around this island is well developed. For short incoming pulses we find periodic echoes modulating an exponential decay over many periods. The period is directly related to the development stage of the horseshoe. We exemplify our studies with a one-dimensional system periodically kicked in time and we mention possible experiments.
PACS: 05.45.Mt – Semiclassical chaos ("quantum chaos" ) / 03.65.Nk – Scattering theory
© EDP Sciences, 2001