F=1旋量玻色-爱因斯坦凝聚体中无核涡旋的涡旋分裂和相分离不稳定性
Vortex splitting and phase separating instabilities of coreless vortices in F=1 spinor Bose-Einstein condensates
摘要:
利用Gross-Pitaevskii方程和Bogoliubov-de Gennes方程研究了F = 1旋量玻色-爱因斯坦凝聚体(BEC)中无核涡旋态的低激发.计算了不同自旋-自旋相互作用参数和子能级粒子数比时的元激发谱。涡旋态存在动力学不稳定性,铁磁相互作用抑制这种不稳定性,反铁磁相互作用增强这种不稳定性。在这两个自旋-自旋相互作用制度,我们发现涡旋分裂不稳定性与标量BEC的类比。此外,在反铁磁区发现了相分离不稳定性。
英文摘要:
The low lying excitations of coreless vortex states in F = 1 spinor Bose-Einstein condensates (BECs) are theoretically investigated using the Gross-Pitaevskii and Bogoliubov-de Gennes equations. The spectra of the elementary excitations are calculated for different spin-spin interaction parameters and ratios of the number of particles in each sublevel. There exist dynamical instabilities of the vortex state which are suppressed by ferromagnetic interactions, and conversely, enhanced by antiferromagnetic interactions. In both of the spin-spin interaction regimes, we find vortex splitting instabilities in analogy with scalar BECs. In addition, a phase separating instability is found in the antiferromagnetic regime.
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