
VOLUME 80  ISSUE 12 
PAGE 855

Statistics of impedance, local density of states, and reflection in quantum chaotic systems with absorption

Y. V. Fyodorov^{+*}, D. V. Savin

PACS: 05.45.Mt, 42.25.Bs, 73.23.b

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
β2 and β4 symmetry class. In the case of
β1 we provide an interpolation formula which incorporates
all known limiting cases and fits excellently available
experimental data as well as diverse numeric tests.


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