Dynamical and energetic instabilities of F=2 spinor Bose-Einstein condensates in an optical lattice

作者：Wang, Deng-Shan^*; Shi, Yu-Ren^*; Feng, Wen-Xing; Wen, Lin

来源：Physica D: Nonlinear Phenomena , 2017, 351: 30-41.

DOI：10.1016/j.physd.2017.04.002

• Bose-Einstein condensates
• Dynamical instability
• Energetic instability
• Zeeman effects

The dynamical and energetic instabilities of the F = 2 spinor Bose-Einstein condensates in an optical lattice are investigated theoretically and numerically. By analyzing the dynamical response of different carrier waves to an additional linear perturbation, we obtain the instability criteria for the ferromagnetic, uniaxial nematic, biaxial nematic and cyclic states, respectively. When an external magnetic field is taken into account, we find that the linear or quadratic Zeeman effects obviously affect the dynamical instability properties of uniaxial nematic, biaxial nematic and cyclic states, but not for the ferromagnetic one. In particular, it is found that the faster moving F = 2 spinor BEC has a larger energetic instability region than lower one in all the four states. In addition, it is seen that for mo

• 出版日期2017-8-1
• 单位西北师范大学; 上海理工大学; 重庆师范大学