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

Yu-Ren Shi, Xue-Ying Yang, Na Tang and Deng-Shan Wang

Physica A: Statistical Mechanics and its Applications, 2018, vol. 509, issue C, 39-55

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.

Keywords: Zeeman field; Dynamical instability; Bose–Einstein condensates; Optical lattice (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:509:y:2018:i:c:p:39-55

DOI: 10.1016/j.physa.2018.05.151

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