Impact of anisotropy on vortex clusters and their dynamics

Impact of anisotropy on vortex clusters and their dynamics
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各向异性对涡团及其动力学的影响

DOI:
10.1209/0295-5075/93/20008
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发表时间:
2010
期刊:
EPL (Europhysics Letters)
影响因子:
--
通讯作者:
P. Schmelcher
P. Schmelcher
中科院分区:
--
文献类型:
--
作者:
J. Stockhofe;S. Middelkamp;P. Kevrekidis;P. Schmelcher

文献摘要

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我们研究了各向异性对玻色-爱因斯坦凝聚中涡旋团簇态的稳定性和动力学的影响。足够强的各向异性,以稳定状态与任意数量的涡是非常不稳定的各向同性的限制。相反,各向异性可以用来使在各向同性极限下稳定的状态不稳定。在线性极限附近,我们确定了涡旋态的分叉,包括它们从线性本征态的出现,而在强非线性极限,在各向异性陷阱中的涡旋动力学的粒子描述。两者都与数值结果非常吻合。证明了稳定的多涡团态的集体模。
We investigate the effects of anisotropy on the stability and dynamics of vortex cluster states which arise in Bose-Einstein condensates. Sufficiently strong anisotropies are shown to stabilize states with arbitrary numbers of vortices that are highly unstable in the isotropic limit. Conversely, anisotropy can be used to destabilize states which are stable in the isotropic limit. Near the linear limit, we identify the bifurcations of vortex states including their emergence from linear eigenstates, while in the strongly nonlinear limit, a particle-like description of the dynamics of the vortices in the anisotropic trap is developed. Both are in very good agreement with numerical results. Collective modes of stabilized many vortex cluster states are demonstrated.