Statistics of resonance width shifts as a signature of eigenfunction nonorthogonality

Statistics of resonance width shifts as a signature of eigenfunction nonorthogonality

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 nonorthogonality of resonance wave functions, being zero only if those were orthogonal. Focusi...

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Veröffentlicht in:Physical review letters 2012-05, Vol.108 (18), p.184101-184101, Article 184101
Hauptverfasser: Fyodorov, Yan V, Savin, Dmitry V
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creator Fyodorov, Yan V
Savin, Dmitry V
description 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 nonorthogonality of resonance wave functions, 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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title Statistics of resonance width shifts as a signature of eigenfunction nonorthogonality
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