Statistics of resonances in open billiards
2001 (English)In: Physica scripta. T, ISSN 0281-1847, Vol. T90, 60-63 p.Article in journal (Refereed) Published
Statistics of resonance poles are computed for time-reversal ballistic transport through chaotic and integrable mesoscopic billiards coupled to a pair of single-channel leads in the regime of overlapping resonances. In the case of chaotic open billiard, the width distribution function shows good agreement with the random-matrix-theory prediction in all ranges of the width. In the case of integrable open billiard, however, there exists some deviation and the agreement is perceived only for the tail of the width distribution function. This is understood quantitatively in terms of classical decay-time distributions. On the other hand, the statistics of resonance positions for both chaotic and integrable open billiards show deviations from the Gaussian-orthogonal-ensemble and Poisson predictions. The statistical nature known for eigenvalues of the closed counterparts of the systems is retrieved after eliminating all the broad resonances compared to the mean resonance spacing.
Place, publisher, year, edition, pages
2001. Vol. T90, 60-63 p.
IdentifiersURN: urn:nbn:se:liu:diva-49292OAI: oai:DiVA.org:liu-49292DiVA: diva2:270188