Wavefunction statistics in open chaotic billiards

Details Wavefunction statistics in open chaotic billiards Wavefunction statistics in open chaotic billiards

2003-02-24

arxiv.org/abs/nlin/0302052v1

Phys. Rev. E 68, 046205 (2003)

Nonlinear Sciences

Chaotic Dynamics

4 pages, RevTeX; 1 figure

Scientific paper

10.1103/PhysRevE.68.046205

We study the statistical properties of wavefunctions in a chaotic billiard that is opened up to the outside world. Upon increasing the openings, the billiard wavefunctions cross over from real to complex. Each wavefunction is characterized by a phase rigidity, which is itself a fluctuating quantity. We calculate the probability distribution of the phase rigidity and discuss how phase rigidity fluctuations cause long-range correlations of intensity and current density. We also find that phase rigidities for wavefunctions with different incoming wave boundary conditions are statistically correlated.

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