QUANTUM LOCALIZATION, CHAOS AND NONLINEAR-INTERACTIONS

被引：2
|
作者：
SHEPELYANSKY, DL
机构：
[1] Laboratoire de Physique Quantique, Université Paul Sabatier, 31062 Toulouse Cedex, 118, route de Narbonne
来源：
PHYSICA D | 1995年 / 86卷 / 1-2期
关键词：
D O I：
10.1016/0167-2789(95)00086-J
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The results of analytical and numerical investigations of destruction of quantum localization of chaos by a nonlinear interaction are presented. Two different cases are considered. One is the one-particle case which corresponds to nonlinear wave propagation in disordered media. Another case corresponds to the destruction of localization by multi-particle self-consistent interaction at small but finite particle density. It is shown that delocalization and unlimited spreading over the lattice takes place above a critical value of nonlinear interaction. The spreading can be described by anomalous diffusion with the exponent smaller than in the diffusive case.
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页码：45 / 52
页数：8
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