Intruder States and their Local Effect on Spectral Statistics

Details Intruder States and their Local Effect on Spectral Statistics Intruder States and their Local Effect on Spectral Statistics

1997-03-17

arxiv.org/abs/chao-dyn/9703008v1

J. Physics A: Math Gen 31 (1998) 1509-1521

Physics

Condensed Matter

18 pages, 10 Postscript figures

Scientific paper

10.1088/0305-4470/31/6/003

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.

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