Statistics of impedance, local density of states, and reflection in quantum chaotic systems with absorption
Abstract
We are interested in finding the joint distribution function of the real and imaginary parts of the local Green function for a system with chaotic internal wave scattering and a uniform energy loss (absorption). For a microwave cavity attached to a singlemode antenna the same quantity has a meaning of the complex cavity impedance. Using the random matrix approach, we relate its statistics to that of the reflection coefficient and scattering phase and provide exact distributions for systems with beta=2 and beta=4 symmetry class. In the case of beta=1 we provide an interpolation formula which incorporates all known limiting cases and fits excellently available experimental data as well as diverse numeric tests.
 Publication:

Soviet Journal of Experimental and Theoretical Physics Letters
 Pub Date:
 December 2004
 DOI:
 10.1134/1.1868794
 arXiv:
 arXiv:condmat/0409084
 Bibcode:
 2004JETPL..80..725F
 Keywords:

 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect
 EPrint:
 4 pages, 1 figure