Statistics of off-diagonal entries of Wigner K-matrix for chaotic wave systems with absorption
Abstract
Using the random matrix theory approach we derive explicit distributions of the real and imaginary parts for off-diagonal entries of the Wigner reaction matrix for wave chaotic scattering in systems with and without time-reversal invariance, in the presence of an arbitrary uniform absorption. Whereas for time-reversal invariant system () the scattering channels are assumed to be random and orthogonal on average, for broken time-reversal () we consider the case of nontrivially correlated channel vectors.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- April 2020
- DOI:
- 10.1088/1751-8121/ab73ab
- arXiv:
- arXiv:1905.04157
- Bibcode:
- 2020JPhA...53p5701B
- Keywords:
-
- random matrix theory;
- chaotic wave scattering;
- Wigner K-matrix;
- Condensed Matter - Statistical Mechanics;
- Mathematical Physics;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 25 pages, 11 figures