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.
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页数：5
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