Wave function statistics in open chaotic billiards

Piet W. Brouwer
Phys. Rev. E 68, 046205 – Published 21 October 2003
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Abstract

We study the statistical properties of wave functions in a chaotic billiard that is opened up to the outside world. Upon increasing the openings, the billiard wave functions cross over from real to complex. Each wave function 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 wave functions with different incoming wave boundary conditions are statistically correlated.

  • Received 24 February 2003

DOI:https://doi.org/10.1103/PhysRevE.68.046205

©2003 American Physical Society

Authors & Affiliations

Piet W. Brouwer

  • Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA

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Vol. 68, Iss. 4 — October 2003

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