Scattering of a dark–bright soliton by an impurity
Scattering of a dark–bright soliton by an impurity
复制标题
杂质对暗-亮孤子的散射
DOI：
10.1088/1361-6455/ab2cfb
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Carr, Lincoln D
中科院分区：
文献类型：
--
作者：
Alotaibi, Majed O;Carr, Lincoln D
研究了双组分玻色-爱因斯坦凝聚体中原子暗-亮孤子与杂质的相互作用。为了捕捉弹性和非弹性散射，我们允许暗和亮孤子分量之间的相对振荡以及高阶内模。使用修改后的扰动动力学变分拉格朗日近似，我们开发了一个分析模型来捕获运动的质量中心（弹性散射）和占主导地位的相对运动（非弹性）。当暗-亮孤子的动能接近杂质能量时，数值积分进一步考虑了高阶非弹性效应。我们计算了暗-亮孤子的最大速度，发现它被限制在低于声速的值，这取决于亮孤子分量中存在的原子的相对数量和暗孤子分量挖掘，分别。在最大速度的临界值以上，这两个分量不再由一个质心变量描述，并且自发地发展内部振荡，当被推到更高的速度时最终分裂。这种效应限制了散射研究中的入射动能，并提供了确凿的实验信号。
We study the interaction of an atomic dark–bright soliton in a two-component Bose–Einstein condensate with an impurity modeled by a delta function. In order to capture both elastic and inelastic scattering, we allow for relative oscillations between the dark and bright soliton components as well as higher order internal modes. Using a modified perturbed dynamical variational Lagrangian approximation, we develop an analytical model to capture motion of the center of the mass (elastic scattering) and dominant relative motion (inelastic). Numerical integration further incorporates higher order inelastic effects when the kinetic energy of the dark–bright soliton approaches the impurity energy. We calculate the maximum velocity for a dark–bright soliton and find it is limited to a value below the sound speed, depending on the relative number of atoms present in the bright soliton component and excavated by the dark soliton component, respectively. Above a critical value of the maximum velocity, the two components are no longer described by one center of mass variable and spontaneously develop internal oscillations, eventually breaking apart when pushed to higher velocities. This effect limits the incident kinetic energy in scattering studies and presents a smoking gun experimental signal.
影响因子：
16.6
作者：
通讯作者：
--
超越平均场近似的暗-亮孤子动力学
DOI：
--
发表时间：
2016
期刊：
影响因子：
--
作者：
G. Katsimiga;G. Koutentakis;S. Mistakidis;P. Kevrekidis;P. Schmelcher
通讯作者：
P. Schmelcher
DOI：
10.1088/1361-6455/aadfb2
发表时间：
2018-10-28
影响因子：
1.6
作者：
Alotaibi, Majed O. D.;Carr, Lincoln D.
通讯作者：
Carr, Lincoln D.