Talk page
Title:
Probing eigenfunction nonorthogonality by parametric shifts of resonance widths
Speaker:
Abstract:
Resonances feature themselves in the energy-dependent S-matrix as its poles in the complex energy plane. They can be analytically described as the complex eigenvalues of an effective non-Hermitian operator. Notably, the associated resonance wavefunctions are known to be nonorthogonal, which has many important applications ranging from nuclear physics to quantum optics and solid state. This talk will consider an open (scattering) quantum system under the action of a perturbation of its interior. It is demonstrated that the resulting change of resonance widths is a sensitive indicator of the nonorthogonality of resonance wavefunctions, being zero only if those were orthogonal. Focusing further on chaotic systems, we will introduce a new type of parametric statistics in open systems, and apply RMT to derive the exact distribution of resonance width shifts in the regime of weakly open system. Applications and recent data for microwave cavities will be also discussed.
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