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. 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.
Queen Mary University of London, School of Mathematical Sciences, London E1 4NS, United Kingdom.
Yan V
YV
Fyodorov
Dmitry V
DV
Savin