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Effects of Zeeman field on the dynamical instability of flat states for spin-2 Bose–Einstein condensates in an optical lattice

Author

Listed:
  • Shi, Yu-Ren
  • Yang, Xue-Ying
  • Tang, Na
  • Wang, Deng-Shan

Abstract

We investigate the effects of Zeeman field on the dynamical instability of flat states for F=2 spinor Bose–Einstein condensates in an optical lattice. The instability criteria for the ferromagnetic, uniaxial nematic, biaxial nematic-like and cyclic-like states are obtained analytically. It is shown that the linear Zeeman splitting shift only changes the dynamical instability of the biaxial nematic-like phase, but the quadratic Zeeman splitting shift can stabilize or induce additional dynamical instability to all the phases except the first-type ferromagnetic phase. The interaction strength of the spin–singlet pair term can change the dynamical instability of the cyclic-like state only when the quadratic Zeeman splitting is included. We also provide the experimental parameters to observe these interesting phenomena in future experiments.

Suggested Citation

  • Shi, Yu-Ren & Yang, Xue-Ying & Tang, Na & Wang, Deng-Shan, 2018. "Effects of Zeeman field on the dynamical instability of flat states for spin-2 Bose–Einstein condensates in an optical lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 39-55.
    • Handle: RePEc:eee:phsmap:v:509:y:2018:i:c:p:39-55
    DOI: 10.1016/j.physa.2018.05.151
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    References listed on IDEAS

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    1. McAnally, Morgan & Ma, Wen-Xiu, 2018. "An integrable generalization of the D-Kaup–Newell soliton hierarchy and its bi-Hamiltonian reduced hierarchy," Applied Mathematics and Computation, Elsevier, vol. 323(C), pages 220-227.
    2. S. L. Rolston & W. D. Phillips, 2002. "Nonlinear and quantum atom optics," Nature, Nature, vol. 416(6877), pages 219-224, March.
    3. Xu, Xi-Xiang, 2015. "A deformed reduced semi-discrete Kaup–Newell equation, the related integrable family and Darboux transformation," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 275-283.
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