Statistics of offdiagonal entries of Wigner Kmatrix for chaotic wave systems with absorption
Abstract
Using the random matrix theory approach we derive explicit distributions of the real and imaginary parts for offdiagonal entries of the Wigner reaction matrix for wave chaotic scattering in systems with and without timereversal invariance, in the presence of an arbitrary uniform absorption. Whereas for timereversal invariant system () the scattering channels are assumed to be random and orthogonal on average, for broken timereversal () we consider the case of nontrivially correlated channel vectors.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 April 2020
 DOI:
 10.1088/17518121/ab73ab
 arXiv:
 arXiv:1905.04157
 Bibcode:
 2020JPhA...53p5701B
 Keywords:

 random matrix theory;
 chaotic wave scattering;
 Wigner Kmatrix;
 Condensed Matter  Statistical Mechanics;
 Mathematical Physics;
 Nonlinear Sciences  Chaotic Dynamics
 EPrint:
 25 pages, 11 figures