Stability of stationary states in the cubic nonlinear Schrödinger equation: Applications to the BoseEinstein condensate
Abstract
The cubic nonlinear Schrödinger equation is the quasionedimensional limit of the meanfield theory which models dilute gas BoseEinstein condensates. Stationary solutions of this equation can be characterized as soliton trains. It is demonstrated that for repulsive nonlinearity a soliton train is stable to initial stochastic perturbation, while for attractive nonlinearity its behavior depends on the spacing between individual solitons in the train. Toroidal and harmonic confinement, both of experimental interest for BoseEinstein condensates, are considered.
 Publication:

Physical Review E
 Pub Date:
 June 2001
 DOI:
 10.1103/PhysRevE.63.066604
 arXiv:
 arXiv:condmat/0007117
 Bibcode:
 2001PhRvE..63f6604C
 Keywords:

 05.30.Jp;
 03.75.Fi;
 05.45.Yv;
 Boson systems;
 Solitons;
 Condensed Matter;
 Nonlinear Sciences  Pattern Formation and Solitons
 EPrint:
 9 pages, 11 figures