1201.3357 (Y. V. Fyodorov et al.)

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

Y. V. Fyodorov, D. V. Savin

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.

View original: http://arxiv.org/abs/1201.3357