RESUMO
For ballistic transport through chaotic open billiards, we implement accurate fully quantal calculations of the probability distributions and spatial correlations of the local densities of single-electron wave functions within the cavity. We find wave-statistical behaviors intrinsically different from those in their closed counterparts. Chaotic-scattering wave functions in open systems can be quantitatively interpreted in terms of statistically independent real and imaginary random fields in the same way as for wave-function statistics of closed systems in the time-reversal symmetry-breaking crossover regime. We also discuss perceived statistical deviations, which are attributed to the coexistence of regular and chaotic waves and given analytical explanations.
RESUMO
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.
