2012/01/31 by Y. V. Fyodorov, D. V. Savin · 1 citation
Physics and Astronomy · Mathematics · #cond-mat.mes-hall #math-ph #math.MP #nlin.CD #nucl-th
paper · pdf · doi:10.1103/physrevlett.108.184101
published as Phys. Rev. Lett. 108, 184101 (2012) · 4 pages, 1 figure (published version with minor changes)
arxiv created 2012/05/03 · arxiv updated 2012/05/04
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.