Wave function statistics in open chaotic billiards.
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.
Brouwer
Piet W
PW
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA.