Regensburg 2007 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 16: Brownian motion and transport I
DY 16.7: Vortrag
Dienstag, 27. März 2007, 16:00–16:15, H3
Multifractal conductance fluctuations — •Angelo Facchini1, Andrea Tomadin2, and Sandro Wimberger3 — 1University of Siena, Center for the Study of Complex Systems, Via Tommaso Pendola37, I-53100 Siena — 2Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa. — 3CNISM and Dipartimento di Fisica del Politecnico, C. Duca degli Abruzzi 24, I-10129 Torino.
To characterize complexity on many different scales a standard tool is offered by the multifractal analysis. Yet often used in the study of classical complex systems, there are not many results on the quantum level, which would show multifractality surviving the quantum coarse-graining. A multifractal scaling of eigenfunctions at phase-transitions is one of the few well-known “quantum” examples. In this contribution, we show that multifractality is found in a single and easily measurable observable which characterizes global quantum transport in a paradigmatic model of quantum chaos. More specifically, we predict a multifractal scaling of the survival probability of the opened δ-kicked rotor in the deep quantum regime. Our analysis intrinsically focuses on intermediate and large-scale correlations of the survival probability as the global transport signal [1], and it generalizes previous results predicting parametric monofractal fluctuations on small scales [2].
[1] A. Facchini, A. Tomadin, S. Wimberger, Physica A, doi:10.1016/j.physa.2006.10.012.
[2] A. Tomadin, R. Mannella, and S. Wimberger, J. Phys. A 39, 2477 (2006).