Spectral statistics in an open parametric billiard system
نویسندگان
چکیده
منابع مشابه
Spectral statistics in an open parametric billiard system.
We present experimental results on the eigenfrequency statistics of a superconducting, chaotic microwave billiard containing a rotatable obstacle. Deviations of the spectral fluctuations from predictions based on Gaussian orthogonal ensembles of random matrices are found. They are explained by treating the billiard as an open scattering system in which microwave power is coupled in and out via ...
متن کاملDiffractive Orbits in an Open Microwave Billiard
We demonstrate the existence and significance of diffractive orbits in an open microwave billiard, both experimentally and theoretically. Orbits that diffract off of a sharp edge strongly influence the conduction spectrum of this resonator, especially in the regime where there are no stable classical orbits. On resonance, the wavefunctions are influenced by both classical and diffractive orbits...
متن کاملBerry-Robnik level statistics in a smooth billiard system
Berry-Robnik level spacing distribution is demonstrated clearly in a generic quantized plane billiard for the first time. However, this ultimate semiclassical distribution is found to be valid only for extremely small semi-classical parameter (effective Planck’s constant) where the assumption of statistical independence of regular and irregular levels is achieved. For sufficiently larger semicl...
متن کاملSpectral Statistics and Dynamical Localization: sharp transition in a generalized Sinai billiard
We consider a Sinai billiard where the usual hard disk scatterer is replaced by a repulsive potential with V (r) ∼ λr−α close to the origin. Using periodic orbit theory and numerical evidence we show that its spectral statistics tends to Poisson statistics for large energies when α < 2 and to Wigner-Dyson statistics when α > 2, while for α = 2 it is independent of energy, but depends on λ. We a...
متن کاملCurrent Carrying States in Quantum Statistics of an Open System
für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2006
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.73.035201