Rogue waves collision under incident momentum modulation in two-component Bose-Einstein condensates

Fuente: arXiv
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Auteurs principaux: Zhang, Zhihao, Li, Tiantian, Bai, Xiao-Dong, Zhang, Yunbo, Wang, Denglong
Format: Preprint
Publié: 2025
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author Zhang, Zhihao
Li, Tiantian
Bai, Xiao-Dong
Zhang, Yunbo
Wang, Denglong
author_facet Zhang, Zhihao
Li, Tiantian
Bai, Xiao-Dong
Zhang, Yunbo
Wang, Denglong
contents The collision dynamics of two first-order rogue waves (RWs) with opposite incident momentum in two-component Bose-Einstein condensates (BECs) is studied by solving the two-component one-dimensional Gross-Pitaevskii (GP) equation. It is demonstrated that the introduction of appropriate incident momentum successfully promotes the generation of second-order RWs in the case of relatively weaker interspecies interactions compared to intraspecific interactions. The range of incident momentum that can facilitate the generation of second-order RWs under different interspecies interaction strengths is determined, and machine learning is employed to find and analyze relationships among the interspecies interaction, the incident momentum, and the offset that can lead to the generation of second-order RWs. It shows that any two parameters above exhibit a positive or negative correlation when the third parameter is fixed. These findings provide additional possibilities for generating and controlling high-order RWs.
format Preprint
id arxiv_https___arxiv_org_abs_2506_08420
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Rogue waves collision under incident momentum modulation in two-component Bose-Einstein condensates
Zhang, Zhihao
Li, Tiantian
Bai, Xiao-Dong
Zhang, Yunbo
Wang, Denglong
Quantum Gases
Chaotic Dynamics
Quantum Physics
The collision dynamics of two first-order rogue waves (RWs) with opposite incident momentum in two-component Bose-Einstein condensates (BECs) is studied by solving the two-component one-dimensional Gross-Pitaevskii (GP) equation. It is demonstrated that the introduction of appropriate incident momentum successfully promotes the generation of second-order RWs in the case of relatively weaker interspecies interactions compared to intraspecific interactions. The range of incident momentum that can facilitate the generation of second-order RWs under different interspecies interaction strengths is determined, and machine learning is employed to find and analyze relationships among the interspecies interaction, the incident momentum, and the offset that can lead to the generation of second-order RWs. It shows that any two parameters above exhibit a positive or negative correlation when the third parameter is fixed. These findings provide additional possibilities for generating and controlling high-order RWs.
title Rogue waves collision under incident momentum modulation in two-component Bose-Einstein condensates
topic Quantum Gases
Chaotic Dynamics
Quantum Physics
url https://arxiv.org/abs/2506.08420