English

Intruder States and their Local Effect on Spectral Statistics

chao-dyn 2009-10-30 v1 Condensed Matter Chaotic Dynamics

Abstract

The effect on spectral statistics and on the revival probability of intruder states in a random background is analysed numerically and with perturbative methods. For random coupling the intruder does not affect the GOE spectral statistics of the background significantly, while a constant coupling causes very strong correlations at short range with a fourth power dependence of the spectral two-point function at the origin.The revival probability is significantly depressed for constant coupling as compared to random coupling.

Keywords

Cite

@article{arxiv.chao-dyn/9703008,
  title  = {Intruder States and their Local Effect on Spectral Statistics},
  author = {J. Flores and H. Hernandez-Saldaña and F. Leyvraz and T. H. Seligman},
  journal= {arXiv preprint arXiv:chao-dyn/9703008},
  year   = {2009}
}

Comments

18 pages, 10 Postscript figures