Statistics of resonance width shifts as a signature of eigenfunction non-orthogonality

Details Statistics of resonance width shifts as a signature of eigenfunction non-orthogonality Statistics of resonance width shifts as a signature of eigenfunction non-orthogonality

2012-01-16

arxiv.org/abs/1201.3357v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure

Scientific paper

We consider an open (scattering) quantum system under the action of a perturbation of its closed counterpart. It is demonstrated that the resulting shift of resonance widths is a sensitive indicator of the non-orthogonality of resonance wavefunctions, being zero only if those were orthogonal. Focusing further on chaotic systems, we employ random matrix theory to introduce a new type of parametric statistics in open systems, and derive the distribution of the resonance width shifts in the regime of weak coupling to the continuum.

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