Stabilities of one-dimensional stationary states of Bose-Einstein condensates

Details Stabilities of one-dimensional stationary states of Bose-Einstein condensates Stabilities of one-dimensional stationary states of Bose-Einstein condensates

2007-04-30

arxiv.org/abs/0704.3926v2

Phys. Lett. A372, 2558 (2008)

Physics

Quantum Physics

12 pages

Scientific paper

10.1016/j.physleta.2007.12.029

We explore the dynamical stabilities of a quasi-one dimensional (1D) Bose-Einstein condensate (BEC) consisting of fixed $N$ atoms with time-independent external potential. For the stationary states with zero flow density the general solution of the perturbed time evolution equation is constructed, and the stability criterions concerning the initial conditions and system parameters are established. Taking the lattice potential case as an example, the stability and instability regions on the parameter space are found. The results suggest a method for selecting experimental parameters and adjusting initial conditions to suppress the instabilities.

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