Stability of stationary states in the cubic nonlinear Schroedinger equation: applications to the Bose-Einstein condensate

Дата и время публикации : 2000-07-06T23:50:05Z

Авторы публикации и институты :
Lincoln D. Carr
J. Nathan Kutz
William P. Reinhardt

Ссылка на журнал-издание: Phys. Rev. E 63, 066604 (2001)
Коментарии к cтатье: 9 pages, 11 figures
Первичная категория: cond-mat

Все категории : cond-mat, nlin.PS

Краткий обзор статьи: The stability properties and perturbation-induced dynamics of the full set of stationary states of the nonlinear Schroedinger equation are investigated numerically in two physical contexts: periodic solutions on a ring and confinement by a harmonic potential. Our comprehensive studies emphasize physical interpretations useful to experimentalists. Perturbation by stochastic white noise, phase engineering, and higher order nonlinearity are considered. We treat both attractive and repulsive nonlinearity and illustrate the soliton-train nature of the stationary states.

Category: Physics