Dynamics of a wavefunction for the attractive nonlinear Schrodinger equation under isotropic harmonic confinement potential

被引：2

作者：

Morise, H ^{[1
]}

Wadati, M ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Sci, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2001年 / 70卷 / 12期

关键词：

nonlinear Schrodinger equation; attractive self-interaction; collapse of wavefunction; Bose-Einstein condensation; variance identity; time-dependent variational method;

D O I：

10.1143/JPSJ.70.3529

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study dynamics of a wavefunction for the nonlinear Schrodinger equation with attractive self-interaction under a harmonic potential. By use of the variance identity and a rigorous inequality, we obtain a sufficient condition for the collapse of the wavefunction. By applying this method, we investigate, the dynamic stability of a trapped Bose-Einstein condensate and its dependence on the initial shape of the condensate. The result agrees qualitatively well with the results of the time-dependent variational method. We find that the anisotropy introduced in the initial state has a significant effect on the stabilization.

引用

页码：3529 / 3534

页数：6

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