| 生长及耗散波色-爱因斯坦凝聚中的怪波 |
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| 引用本文： | 张志强,何章明. 生长及耗散波色-爱因斯坦凝聚中的怪波[J]. 原子与分子物理学报, 2020, 37(2): 279-282 |
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| 作者姓名： | 张志强 何章明 |
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| 作者单位： | 郑州商学院通识教育中心,湖南工业大学理学院 |
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| 基金项目： | 河南省高等学校重点科研项目资助项目(19A140021) |
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| 摘 要： | 利用达布变换法(Darboux transformation)，解析的研究了生长及耗散波色-爱因斯坦凝聚(BEC)中的怪波.通过降维和无量纲化，将描述BEC的Gross-Pitaevskii (GP)方程转化成一维无量纲非线性薛定谔方程.利用达布变换，得到了一维非线性薛定谔方程的怪波解析解.根据解析结果，数值模拟了生长及耗散BEC中怪波的性质.结果表明，BEC中出现了一种典型的双洞怪波，并且BEC生长会延缓怪波的消失，而BEC的耗散会加速怪波的消失.
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| 关 键 词： | 波色-爱因斯坦凝聚；怪波；耗散 |
| 收稿时间： | 2019-03-29 |
| 修稿时间： | 2019-04-16 |
Rogue wave in growth and dissipation Bose-Einstein condensates |
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| Zhang Zhi-Qiang and He Zhang-Ming. Rogue wave in growth and dissipation Bose-Einstein condensates[J]. Journal of Atomic and Molecular Physics, 2020, 37(2): 279-282 |
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| Authors: | Zhang Zhi-Qiang and He Zhang-Ming |
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| Affiliation: | General Education Centre, Zhengzhou Business University and College of Science, Hunan University of Technology |
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| Abstract: | By using the Darboux transformation, we analytically study the rogue wave in growth and dissipation Bose-Einstein condensates (BEC). Through dimension reduction and non-dimensionalization, we derive a one-dimensional dimensionless nonlinear Schrödinger equation from the Gross-Pitaevskii (GP) equation modified by a gain or lose term. Analytical solution of the one-dimensional nonlinear Schrödinger equation is obtained by means of Darboux transformation. Subsequently we numerically calculate the property of rogue wave in the system. It is shown that a typical double-hole rogue wave appears in BEC. And the growth of the BEC will delay the disappearance of rogue wave, the dissipation of BEC will accelerate the disappearance of rogue wave. |
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| Keywords: | Bose-Einstein condensates Rogue wave Dissipation |
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