Solitons, solitonic vortices, and vortex rings in a confined Bose-Einstein condensate
Solitons, solitonic vortices, and vortex rings in a confined Bose-Einstein condensate
复制标题
DOI：
10.1103/physreva.68.043617
复制
发表时间：
2003-04
影响因子：
2.9
通讯作者：
S. Komineas;N. Papanicolaou
中科院分区：
文献类型：
--
作者：
S. Komineas;N. Papanicolaou
细长玻色-爱因斯坦凝聚中可能出现的准一维孤子在高粒子密度下变得不稳定。我们研究两种基本的不稳定模式以及真正三维孤立波的相应分叉，例如轴对称涡环和非轴对称孤子涡旋。我们计算了上述结构的轮廓，并检查了它们对沿圆柱形陷阱传播速度的依赖性。在足够高的速度下，涡环和孤子涡旋都转变为轴对称孤子。我们还计算了能量-动量色散，并表明所有粒子密度的激发光谱中都出现了利布型模式。
Quasi-one-dimensional solitons that may occur in an elongated Bose-Einstein condensate become unstable at high particle density. We study two basic modes of instability and the corresponding bifurcations to genuinely three-dimensional solitary waves such as axisymmetric vortex rings and nonaxisymmetric solitonic vortices. We calculate the profiles of the above structures and examine their dependence on the velocity of propagation along a cylindrical trap. At sufficiently high velocity, both the vortex ring and the solitonic vortex transform into an axisymmetric soliton. We also calculate the energy-momentum dispersions and show that a Lieb-type mode appears in the excitation spectrum for all particle densities.