Magnetic field induced dynamical instabilities in an anti-ferromagnetic   spin-1 Bose-Einstein condensate
  We theoretically investigate four types of dynamical instability, in particular the periodic and oscillatory type $I_O$, in an anti-ferromagnetic spin-1 Bose-Einstein condensate in a nonzero magnetic field, by employing the coupled-mode theory and numerical method. This is in sharp contrast to the dynamical stability of the same system in zero field. Remarkably, a pattern transition from a periodic dynamical instability $I_O$ to a uniform one $III_O$ occurs at a critical magnetic field. All the four types of dynamical instability and the pattern transition are ready to be detected in $^{23}$Na condensates within the availability of the current experimental techniques. 
Zhengguo Pu, Jun Zhang, Su Yi, Dajun Wang, and Wenxian Zhang
cond-mat.quant-gas nlin.PS