Conductance fluctuations of generic billiards: Fractal or isolated?
Max-Planck-Institut für Strömungsforschung and
Institut für Nichtlineare Dynamik der Universität Göttingen
Bunsenstr. 10, 37073 Göttingen, Germany
Accepted: 9 April 2001
We study the signatures of a classical mixed phase space for open quantum systems. We find the scaling of the break time up to which quantum mechanics mimics the classical staying probability and derive the distribution of resonance widths. Based on these results we explain why for mixed systems two types of conductance fluctuations were found: quantum mechanics divides the hierarchically structured chaotic component of phase space into two parts —one yields fractal conductance fluctuations while the other causes isolated resonances. In general, both types appear together, but on different energy scales.
PACS: 05.45.Mt – Semiclassical chaos (“quantum chaos”) / 05.60.Gg – Quantum transport
© EDP Sciences, 2001