Periodic Orbit Bifurcations and Scattering Time Delay Fluctuations | Zendy

J. P. Keating | Zendy; Alfredo M. Ozorio de Almeida | Zendy; Sandra D. Prado | Zendy; Martin Sieber | Zendy; Raúl O. Vallejos | Zendy

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Periodic Orbit Bifurcations and Scattering Time Delay Fluctuations

Author(s) -

J. P. Keating,

Alfredo M. Ozorio de Almeida,

Sandra D. Prado,

Martin Sieber,

Raúl O. Vallejos

Publication year - 2007

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.166.10

Subject(s) - semiclassical physics , limit (mathematics) , physics , chaotic scattering , chaotic , scattering , orbit (dynamics) , power law , statistical physics , periodic orbits , quantum , classical mechanics , quantum mechanics , mathematics , mathematical analysis , computer science , statistics , artificial intelligence , engineering , aerospace engineering

We study fluctuations of the Wigner time delay for open (scattering) systemswhich exhibit mixed dynamics in the classical limit. It is shown that in thesemiclassical limit the time delay fluctuations have a distribution thatdiffers markedly from those which describe fully chaotic (or stronglydisordered) systems: their moments have a power law dependence on asemiclassical parameter, with exponents that are rational fractions. Theseexponents are obtained from bifurcating periodic orbits trapped in the system.They are universal in situations where sufficiently long orbits contribute. Weillustrate the influence of bifurcations on the time delay numerically using anopen quantum map.Comment: 9 pages, 3 figures, contribution to QMC200

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