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Nonlinear Sciences > Chaotic Dynamics

arXiv:nlin/0302052 (nlin)
[Submitted on 24 Feb 2003]

Title:Wavefunction statistics in open chaotic billiards

Authors:P. W. Brouwer
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Abstract: 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.
Comments: 4 pages, RevTeX; 1 figure
Subjects: Chaotic Dynamics (nlin.CD); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
Cite as: arXiv:nlin/0302052 [nlin.CD]
  (or arXiv:nlin/0302052v1 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.nlin/0302052
Journal reference: Phys. Rev. E 68, 046205 (2003)
Related DOI: https://doi.org/10.1103/PhysRevE.68.046205

Submission history

From: Piet Brouwer [view email]
[v1] Mon, 24 Feb 2003 15:41:20 UTC (17 KB)
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