Signatures of the correlation hole in total and partial cross sections

Details Signatures of the correlation hole in total and partial cross sections Signatures of the correlation hole in total and partial cross sections

2001-08-03

arxiv.org/abs/cond-mat/0108069v2

Phys.Rev.E65:026214,2002

Physics

Condensed Matter

25 pages, 13 Postscript figures, typos corrected and references added

Scientific paper

10.1103/PhysRevE.65.026214

In a complex scattering system with few open channels, say a quantum dot with leads, the correlation properties of the poles of the scattering matrix are most directly related to the internal dynamics of the system. We may ask how to extract these properties from an analysis of cross sections. In general this is very difficult, if we leave the domain of isolated resonances. We propose to consider the cross correlation function of two different elastic or total cross sections. For these we can show numerically and to some extent also analytically a significant dependence on the correlations between the scattering poles. The difference between uncorrelated and strongly correlated poles is clearly visible, even for strongly overlapping resonances.

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