Quantum and classical echoes in scattering systems described by simple Smale horseshoes

Details Quantum and classical echoes in scattering systems described by simple Smale horseshoes Quantum and classical echoes in scattering systems described by simple Smale horseshoes

2001-01-15

arxiv.org/abs/nlin/0101025v1

Europhys. Lett. 55 (2001) 616-622

Nonlinear Sciences

Chaotic Dynamics

7 pages with 6 reduced quality figures! Please contact the authors (mejia@fis.unam.mx) for an original good quality pre-print

Scientific paper

10.1209/epl/i2001-00460-0

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.

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