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UID:UW-Physics-Event-3034
DTSTART:20130905T150000Z
DURATION:PT1H0M0S
DTSTAMP:20230324T135144Z
LAST-MODIFIED:20130828T130512Z
LOCATION:5310 Chamberlin
SUMMARY:Random Matrix Approach to Understand the Statistical Propertie
s of Complex Wave Scattering Systems\, R. G. Herb Condensed Matter Sem
inar\, Jen-Hao Yeh\, University of Maryland
DESCRIPTION:There is great interest in the quantum/wave properties of
systems that show chaos in the classical (short wavelength\, or ray) l
imit. These wave chaotic systems appear in many contexts: nuclear phys
ics\, acoustics\, two-dimensional quantum dots\, and electromagnetic e
nclosures. Initiated by the need to understand the energy levels of co
mplicated nuclei\, random matrix theory (RMT) has been applied to succ
essfully predict universal properties of these complicated wave-scatte
ring systems through the statistical description of their eigenvalues\
, eigenfunctions\, impedance matrices\, and scattering matrices. For u
nderstanding the properties of practical systems\, researchers at Mary
land have developed the random coupling model (RCM) to offer a complet
e statistical model which utilizes a simple additive formula in terms
of impedance matrices to combine the predictions of RMT and the nonuni
versal system-specific features in practical systems. We have carried
out experimental tests of the random coupling model in microwave cavit
ies\, including a superconducting microwave cavity acting as a low los
s environment. The results demonstrate the nonuniversal features\, suc
h as the radiation impedance and the short orbits\, and the universal
fluctuations in wave properties\, such as the scattering matrix elemen
ts and the impedance matrix elements\, of complex wave scattering syst
ems.
URL:https://www.physics.wisc.edu/events/?id=3034
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