Hierarchical structures in the phase space and fractional kinetics: II. Immense delocalization in quantized systems

被引：19

作者：

Iomin, A ^{[1
]}

Zaslavsky, GM

机构：

[1] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel

[2] NYU, Dept Phys, New York, NY 10003 USA

[3] NYU, Courant Inst Math Sci, New York, NY 10012 USA

来源：

CHAOS | 2000年 / 10卷 / 01期

关键词：

D O I：

10.1063/1.166482

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Anomalous transport due to Levy-type flights in quantum kicked systems is studied. These systems are kicked rotor and kicked Harper model. It is confirmed for a kicked rotor that there exist special "magic" values of a control parameter of chaos K=K*=6.908 745... for which an essential increasing of a localization length is obtained. Functional dependence of the localization length on both parameter of chaos and quasiclassical parameter (h) over tilde is studied. We also observe immense delocalization of the order of 10(9) for a kicked Harper model when a control parameter K is taken to be K*=6.349 972. This "magic" value corresponds to special phase space topology in the classical limit, when a hierarchical self-similar set of sticky islands emerges. The origin of the effect is of the general nature and similar immense delocalization as well as increasing of localization length can be found in other systems. (C) 2000 American Institute of Physics. [S1054-1500(00)01401-4].

引用

页码：147 / 152

页数：6

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