Bright matter-wave soliton collisions at narrow barriers
Bright matter-wave soliton collisions at narrow barriers
复制标题
DOI：
10.1103/physreva.85.053621
复制
发表时间：
2012-05-16
影响因子：
2.9
通讯作者：
Gardiner, S. A.
中科院分区：
文献类型：
--
作者：
Helm, J. L.;Billam, T. P.;Gardiner, S. A.
研究了聚焦非线性薛定谔方程在窄高斯势垒扰动下的快速运动亮孤子。特别是，我们对两个快速移动的亮孤立子在势垒位置碰撞的情况进行了全面而全面的分析。在极限情况下的δ函数障碍，我们使用的分析方法表明，相对规范的出射波正弦依赖于入射波的相对相位，并确定是否一个，或两个，出射波是明亮的孤子。我们使用数值模拟表明，这一分析结果是有效的，在高速度限制：在此限制之外的非线性效应引入了一个歪斜的相位依赖，我们量化。最后，我们用数值方法研究了引入有限宽度高斯势垒的影响。我们的研究结果是特别相关的，因为它们可以用来描述一系列的干涉实验，使用明亮的孤立物质波。
We study fast-moving bright solitons in the focusing nonlinear Schrodinger equation perturbed by a narrow Gaussian potential barrier. In particular, we present a general and comprehensive analysis of the case where two fast-moving bright solitons collide at the location of the barrier. In the limiting case of a delta-function barrier, we use an analytic method to show that the relative norms of the outgoing waves depends sinusoidally on the relative phase of the incoming waves, and to determine whether one, or both, of the outgoing waves are bright solitons. We show using numerical simulations that this analytic result is valid in the high velocity limit: outside this limit nonlinear effects introduce a skew to the phase dependence, which we quantify. Finally, we numerically explore the effects of introducing a finite-width Gaussian barrier. Our results are particularly relevant, as they can be used to describe a range of interferometry experiments using bright solitary matter-waves.