平均场近似下的暗-亮孤子动力学
Dark-Bright Soliton Dynamics Beyond the Mean-Field Approximation
摘要：
研究了在平均场近似下暗-亮孤子的动力学行为。我们首先研究了单个暗-亮孤子及其在抛物阱中的振荡。随后，我们移动到碰撞的设置，比较平均场近似，涉及多个轨道在黑暗和明亮的组件。碎片是存在的，并显着影响的动力学，特别是在较慢的孤子的情况下，在较低的原子数。它示出的存在下，碎片允许可区分的物种之间的二分纠缠。最重要的是，碎片和纠缠之间的相互作用导致分裂的每个父平均场暗亮孤子，放置在偏离中心的抛物陷阱，成一个快速和缓慢的子孤立波。后一个过程与平均场近似的预测正好相反。观察到多种激发，包括暗-亮孤子在多个（同时填充）轨道。暗-反暗态和畴壁-亮孤子复合体也可以在超平均场动力学中自发产生。
英文摘要：
The dynamics of dark-bright solitons beyond the mean-field approximation is investigated. We first examine the case of a single dark-bright soliton and its oscillations within a parabolic trap. Subsequently, we move to the setting of collisions, comparing the mean-field approximation to that involving multiple orbitals in both the dark and the bright component. Fragmentation is present and significantly affects the dynamics, especially in the case of slower solitons and in that of lower atom numbers. It is shown that the presence of fragmentation allows for bipartite entanglement between the distinguishable species. Most importantly the interplay between fragmentation and entanglement leads to the splitting of each of the parent mean-field dark-bright solitons, placed off-center within the parabolic trap, into a fast and a slow daughter solitary wave. The latter process is in direct contrast to the predictions of the mean-field approximation. A variety of excitations including dark-bright solitons in multiple (concurrently populated) orbitals is observed. Dark-antidark states and domain-wall-bright soliton complexes can also be observed to arise spontaneously in the beyond mean-field dynamics.
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