Title: Quantum manifestations of chaotic scattering in the presence of KAM tori
Authors : Eichengrün, Markus
Schirmacher, Walter
Breymann, Wolfgang
Published in : Europhysics Letters : a Letters Journal Exploring the Frontiers of Physics
Volume(Issue) : 36
Issue : 7
Pages : 483
Pages to: 489
Publisher / Ed. Institution : EDP Sciences
Issue Date: 1996
License (according to publishing contract) : Licence according to publishing contract
Type of review: Peer review (Publication)
Language : English
Subject (DDC) : 530: Physics
Abstract: We investigate the semiclassical scattering amplitude for systems, where the classical dynamics is non-hyperbolic, i.e. where islands of KAM trajectories exist in an otherwise chaotic phase space. With the help of semiclassical calculations for the three-disk billiard in an external magnetic field, in which a hyperbolic–non-hyperbolic transition is observed as a function of the field strength, we show that the "stickiness" of the KAM tori leads to a much slower decrease of the survival probability, as compared with the hyperbolic case. This is reflected by a much narrower shape of the energy correlation function. However, we also find that the algebraic asymptotic decay of the survival probability in the non-hyperbolic case is not important for the quantum fluctuations.
Departement: School of Engineering
Publication type: Article in scientific Journal
DOI : 10.1209/epl/i1996-00257-1
ISSN: 0295-5075
URI: https://digitalcollection.zhaw.ch/handle/11475/4671
Appears in Collections:Publikationen School of Engineering

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