Tan Yanchang, Bai Xiao-Dong, Li Tiantian
Department of Physics, Xiangtan University, Xiangtan 411100, China.
Center for Quantum Computing, Peng Cheng Laboratory, Shenzhen 518005, China.
Phys Rev E. 2022 Jul;106(1-1):014208. doi: 10.1103/PhysRevE.106.014208.
An important and incompletely answered question is whether a high-order rogue wave (RW) can be excited by the collision of first-order RWs, especially for its generation and propagation mechanisms. In this paper, the evolution properties of collisions between RWs are studied numerically for two-component coupled Bose-Einstein condensates. We find that whether a second-order RW can be successfully excited strongly depends on the location and time of the first-order RWs encountered. Only when the highest peaks of two RWs meet at the same position at the same time, can the standard second-order RW be triggered and its structure is in good agreement with the exact solution. Further, we demonstrate that such results are also applicable to the collision of subordinate RWs. This paper not only reveals the collision properties of RWs, but also provides a feasible scheme to generate higher-order RWs for experimental realization.
一个重要且尚未完全解答的问题是，高阶 rogue 波（RW）是否能由一阶 RW 的碰撞激发，特别是关于其产生和传播机制。本文针对双组分耦合玻色 - 爱因斯坦凝聚体，对 RW 之间碰撞的演化特性进行了数值研究。我们发现，二阶 RW 是否能被成功激发在很大程度上取决于所遇到的一阶 RW 的位置和时间。只有当两个 RW 的最高峰在同一时间出现在同一位置时，才能触发标准的二阶 RW，并且其结构与精确解高度吻合。此外，我们证明这些结果也适用于次阶 RW 的碰撞。本文不仅揭示了 RW 的碰撞特性，还为实验实现产生高阶 RW 提供了一种可行的方案。
