Exact analysis of soliton dynamics in spinor Bose-Einstein condensates.

Exact analysis of soliton dynamics in spinor Bose-Einstein condensates.
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DOI:
10.1103/physrevlett.93.194102
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发表时间:
2004-04
影响因子:
8.6
通讯作者:
J. Ieda;T. Miyakawa;M. Wadati
J. Ieda;T. Miyakawa;M. Wadati
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
J. Ieda;T. Miyakawa;M. Wadati

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本文提出了一个一维多分量旋量玻色-爱因斯坦凝聚的可积模型,它可以精确地描述具有自旋自由度的亮孤子的动力学行为。我们具体考虑了一个原子凝聚在F=1的超精细态被限制在一个光学偶极陷阱。当平均场相互作用为吸引相互作用(c(0)<0),旋量凝聚体的自旋交换相互作用为铁磁相互作用(c(2)<0)时,我们证明了系统存在一个完全可积点,导致多个亮孤子的存在.通过应用逆散射方法的结果,我们分析了两个孤子解的碰撞规律,发现动力学可以用自旋进动来解释。
We propose an integrable model of a multicomponent spinor Bose-Einstein condensate in one dimension, which allows an exact description of the dynamics of bright solitons with spin degrees of freedom. We consider specifically an atomic condensate in the F=1 hyperfine state confined by an optical dipole trap. When the mean-field interaction is attractive (c(0)<0) and the spin-exchange interaction of a spinor condensate is ferromagnetic (c(2)<0), we prove that the system possesses a completely integrable point leading to the existence of multiple bright solitons. By applying results from the inverse scattering method, we analyze a collision law for two-soliton solutions and find that the dynamics can be explained in terms of the spin precession.