Statistics of Resonance Width Shifts as a Signature of Eigenfunction Nonorthogonality

被引：71

作者：

Fyodorov, Yan V. ^{[1
]}

Savin, Dmitry V. ^{[2
]}

机构：

[1] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England

[2] Brunel Univ, Dept Math Sci, Uxbridge UB8 3PH, Middx, England

来源：

PHYSICAL REVIEW LETTERS | 2012年 / 108卷 / 18期

基金：

英国工程与自然科学研究理事会;

关键词：

CHAOTIC SCATTERING; RANDOM MATRICES; PHASE-SHIFTS; PARAMETRIC CORRELATIONS; WAVE-FUNCTIONS; TIME DELAYS; QUANTUM; SYSTEMS; FLUCTUATIONS; DYNAMICS;

D O I：

10.1103/PhysRevLett.108.184101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：5

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