旋量为有限背景的物质波亮孤子 玻色-爱因斯坦凝聚

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摘要翻译：
本文基于一个与具有自聚焦非线性的矩阵非线性Schr{o}dinger方程等价的旋量可积模型，研究了F=1旋量玻色-爱因斯坦凝聚体(BEC)中有限背景亮孤子的动力学性质。我们应用非消失边界条件下的逆散射方法。所得孤子解可以看作是消失边界条件下孤子解的推广。以显式的方式导出了单孤子解。根据其在无穷远处的行为，将其分为畴壁型和相移型两类。DW型表示总自旋为非零的铁磁态，PS型表示总自旋为零的极性态。我们还讨论了双孤子碰撞。特别地，在涉及DW型的碰撞中证实了自旋混合现象。结果与前人对消失边界条件下的亮孤子和暗孤子的研究结果一致。因此，我们建立了多物波孤子在旋量BECS中的鲁棒性和有用性。
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英文标题：
《Matter-Wave Bright Solitons with a Finite Background in Spinor
  Bose-Einstein Condensates》
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作者：
Tetsuo Kurosaki, Miki Wadati
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Other Condensed Matter        其他凝聚态物质
分类描述：Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  We investigate dynamical properties of bright solitons with a finite background in the F=1 spinor Bose-Einstein condensate (BEC), based on an integrable spinor model which is equivalent to the matrix nonlinear Schr\"{o}dinger equation with a self-focusing nonlineality. We apply the inverse scattering method formulated for nonvanishing boundary conditions. The resulting soliton solutions can be regarded as a generalization of those under vanishing boundary conditions. One-soliton solutions are derived in an explicit manner. According to the behaviors at the infinity, they are classified into two kinds, domain-wall (DW) type and phase-shift (PS) type. The DW-type implies the ferromagnetic state with nonzero total spin and the PS-type implies the polar state, where the total spin amounts to zero. We also discuss two-soliton collisions. In particular, the spin-mixing phenomenon is confirmed in a collision involving the DW-type. The results are consistent with those of the previous studies for bright solitons under vanishing boundary conditions and dark solitons. As a result, we establish the robustness and the usefulness of the multiple matter-wave solitons in the spinor BECs.
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PDF链接：
https://arxiv.org/pdf/704.0082

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关键词：色-爱因斯坦 爱因斯坦 因斯坦 equilibrium Statistical 消失 boundary 可积 solitons