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|Title:||Statistics of resonance width shifts as a signature of eigenfunction non-orthogonality|
|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.|
|Appears in Collections:||Dept of Mathematics Research Papers|
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