Stability of nonstationary states of spin-1 Bose-Einstein condensates

Details Stability of nonstationary states of spin-1 Bose-Einstein condensates Stability of nonstationary states of spin-1 Bose-Einstein condensates

2011-09-08

arxiv.org/abs/1109.1723v2

Phys. Rev. A 84, 043646 (2011)

Physics

Condensed Matter

Quantum Gases

12 pages, 10 figures. v2: minor revisions and corrections

Scientific paper

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 $^{23}$Na condensate. The wavelengths of this instability can be controlled by tuning the strength of the magnetic field. In a $^{87}$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.

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