Theoretical and numerical evidence for the potential realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates
Theoretical and numerical evidence for the potential realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates
复制标题
DOI：
10.1103/physreva.105.053306
复制
发表时间：
2021-12
影响因子：
2.9
通讯作者：
A. Romero-Ros;G. Katsimiga;S. Mistakidis;B. Prinari;G. Biondini;P. Schmelcher;P. Kevrekidis
中科院分区：
文献类型：
--
作者：
A. Romero-Ros;G. Katsimiga;S. Mistakidis;B. Prinari;G. Biondini;P. Schmelcher;P. Kevrekidis
目前的工作是由B. Bakkali-Hassan等人最近在有效的双组分玻色-爱因斯坦凝聚体中实验实现的汤斯孤子所激发的。[j].生物工程学报，2016,32(5):1161 - 1161。在这里，我们使用一个类似的多分量平台，在平均场Gross-Pitaevskii框架内，从理论上和数值上举例说明了实验实现不同基本波结构（即Peregrine孤子）的潜力。利用在非混相状态下混合物的少数种内产生的有效吸引相互作用，我们说明了如何初始化具有合适幂律衰减空间密度模式的冷凝物在没有和存在抛物线陷阱的情况下产生强大的Peregrine波。然后，我们展示了Peregrine孤子的自发出现，通过适当制作的宽高斯初始化，再次在均匀情况下和陷阱情况下。研究还发现，较窄的波包可能会导致Peregrine孤子的周期性复苏，而较宽的波包会导致Peregrine孤子的级联排列，形成所谓的圣诞树结构。引人注目的是，通过准一维状态下的三维计算，这些流氓波结构的持久性在某些温度状态以及横向激励的存在下得到了证明。这一原理证明插图有望代表一种实际可行的方法，在当前现实的超冷原子实验环境中产生和观察这种异常波。
The present work is motivated by the recent experimental realization of the Townes soliton in an effective two-component Bose-Einstein condensate by B. Bakkali-Hassan et al. [Phys. Rev. Lett. 127 , 023603 (2021)]. Here, we use a similar multicomponent platform to exemplify theoretically and numerically, within the mean-field Gross-Pitaevskii framework, the potential toward the experimental realization of a different fundamental wave structure, namely the Peregrine soliton. Leveraging the effective attractive interaction produced within the mixture’s minority species in the immiscible regime, we illustrate how initialization of the condensate with a suitable power-law decaying spatial density pattern yields the robust emergence of the Peregrine wave in the absence and in the presence of a parabolic trap. We then showcase the spontaneous emergence of the Peregrine soliton via a suitably crafted wide Gaussian initialization, again both in the homogeneous case and in the trap scenario. It is also found that narrower wave packets may result in periodic revivals of the Peregrine soliton, while broader ones give rise to a cascade of Peregrine solitons arranged in a so-called Christmas-tree structure. Strikingly, the persistence of these rogue-wave structures is demonstrated in certain temperature regimes as well as in the presence of transversal excitations through three-dimensional computations in a quasi-one-dimensional regime. This proof-of-principle illustration is expected to represent a practically feasible way to generate and observe this rogue wave in realistic current ultracold atom experimental settings.