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arXiv · 1201.3357

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

Y. V. Fyodorov·D. V. Savin
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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.

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Y. V. Fyodorov, D. V. Savin. 2012-05-03. Statistics of resonance width shifts as a signature of eigenfunction non-orthogonality. https://doi.org/10.1103/physrevlett.108.184101

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