|Title:||Quantum manifestations of chaotic scattering in the presence of KAM tori|
|Authors :||Eichengrün, Markus|
|Published in :||Europhysics Letters : a Letters Journal Exploring the Frontiers of Physics|
|Publisher / Ed. Institution :||EDP Sciences|
|License (according to publishing contract) :||Licence according to publishing contract|
|Type of review:||Peer review (Publication)|
|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|
|Appears in Collections:||Publikationen School of Engineering|
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