Fermi-Pasta-Ulam problem revisited with a Bose-Einstein condensate

被引：29
|
作者：
Villain, P [1 ]
Lewenstein, M [1 ]
机构：
[1] Leibniz Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany
来源：
PHYSICAL REVIEW A | 2000年 / 62卷 / 04期
关键词：
D O I：
10.1103/PhysRevA.62.043601
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We consider the evolution of an interacting dilute Bose-Einstein condensate transferred from a harmonic trap to a perfect box of finite size. We study numerically the influence of the nonlinearities in the system on its dynamics. The parallelism between this problem and the Fermi-Pasta-Ulam problem in the context of matter waves is established. Criteria for the appearance of statistical behavior are discussed. We show that by increasing the nonlinearity we pass from a regime of collapses and revivals for the wave function to a regime of collapses and revivals of regular motion.
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页数：11
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