Periodic orbit bifurcations and scattering time delay fluctuations

Details Periodic orbit bifurcations and scattering time delay fluctuations Periodic orbit bifurcations and scattering time delay fluctuations

2007-01-12

arxiv.org/abs/nlin/0701025v1

Prog. Theor. Phys. Suppl. 166 (2007) 10

Nonlinear Sciences

Chaotic Dynamics

9 pages, 3 figures, contribution to QMC2006

Scientific paper

10.1143/PTPS.166.10

We study fluctuations of the Wigner time delay for open (scattering) systems which exhibit mixed dynamics in the classical limit. It is shown that in the semiclassical limit the time delay fluctuations have a distribution that differs markedly from those which describe fully chaotic (or strongly disordered) systems: their moments have a power law dependence on a semiclassical parameter, with exponents that are rational fractions. These exponents are obtained from bifurcating periodic orbits trapped in the system. They are universal in situations where sufficiently long orbits contribute. We illustrate the influence of bifurcations on the time delay numerically using an open quantum map.

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