Resonance poles and width distribution for time-reversal transport through mesoscopic open billiards
A number of resonance poles are computed for time-reversal ballistic transport through chaotic and integrable mesoscopic billiards coupled to a pair of single-channel leads. The width distribution of resonances is rigorously compared with the random-matrix-theory prediction, which has been recently obtained for time-reversal chaotic open systems with overlapping resonances. In the case of chaotic open billiards, the distribution functions show good agreement with the random-matrix-theory prediction in all ranges of the width. In the case of integrable open billiards, however, there exist some deviations and the agreement is perceived only for the tail of the distribution functions. This is understood quantitatively in terms of classical decay-time distributions.
Ishio
H
Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.