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Departure of some parameter-dependent spectral statistics of irregular quantum graphs from random matrix theory predictions.

作者信息

Hul Oleh, Seba Petr, Sirko Leszek

机构信息

Institute of Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warsaw, Poland.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Jun;79(6 Pt 2):066204. doi: 10.1103/PhysRevE.79.066204. Epub 2009 Jun 9.

DOI:10.1103/PhysRevE.79.066204
PMID:19658580
Abstract

Parameter-dependent statistical properties of spectra of totally connected irregular quantum graphs with Neumann boundary conditions are studied. The autocorrelation functions of level velocities c(x) and cover as well as the distributions of level curvatures and avoided crossing gaps are calculated. The numerical results are compared with the predictions of random matrix theory for Gaussian orthogonal ensemble (GOE) and for coupled GOE matrices. The application of coupled GOE matrices was justified by studying localization phenomena in graphs' wave functions Psi(x) using the inverse participation ratio and the amplitude distribution P(Psi(x)) .

摘要

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