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Title: Statistics of resonance width shifts as a signature of eigenfunction non-orthogonality
Authors: Fyodorov, YV
Savin, DV
Issue Date: 2012
Publisher: American Physical Society
Citation: Physical Review Letters, 108(18), 184101, 2012
Abstract: 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.
ISSN: 0031-9007
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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