Abstract
The stability of nonstationary states of homogeneous spin-1 Bose-Einstein condensates is studied by performing Bogoliubov analysis in a frame of reference where the state is stationary. In particular, the effect of an external magnetic field is examined. It is found that a nonzero magnetic field introduces instability in a Na condensate. The wavelengths of this instability can be controlled by tuning the strength of the magnetic field. In a Rb condensate this instability is present already at zero magnetic field. Furthermore, an analytical bound for the size of a stable condensate is found, and a condition for the validity of the single-mode approximation is presented. Realization of the system in a toroidal trap is discussed, and the full time development is simulated.
3 More- Received 8 September 2011
DOI:https://doi.org/10.1103/PhysRevA.84.043646
©2011 American Physical Society