Multiple Soliton Asymptotics in a Spin-1 Bose-Einstein Condensate

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外文摘要：Spinor Bose-Einstein condensates(BECs)are formed when atoms in the multi-component BECs possess single hyperfine spin states but retain internal spin degrees of freedom.This study concentrates on a(1+1)-dimensional three-couple Gross-Pitaevskii system to depict the macroscopic spinor BEC waves within the mean-field approximation.Regarding the distribution of the atoms corresponding to the three vertical spin projections,a known binary Darboux transformation is utilized to derive the N matter-wave soliton solutions and triple-pole matter-wave soliton solutions on the zero background,where N is a positive integer.For those multiple matter-wave solitons,the asymptotic analysis is performed to obtain the algebraic expressions of the soliton components in the N matter-wave solitons and triple-pole matter-wave solitons.The asymptotic results indicate that the matter-wave solitons in the spinor BECs possess the property of maintaining their energy content and coherence during the propagation and interactions.Particularly,in the N matter-wave solitons,each soliton component contributes to the phase shifts of the other soliton components;and in the triple-pole matter-wave solitons,stable attractive forces exist between the different matter-wave soliton components.Those multiple matter-wave solitons are graphically illustrated through three-dimensional plots,density plot and contour plot,which are consistent with the asymptotic analysis results.The present analysis may provide the explanations for the complex natural mechanisms of the matter waves in the spinor BECs,and may have potential applications in designs of atom lasers,atom interferometry and coherent atom transport.

作者：

兰中周

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作者单位：

School of Computer Information Management,Inner Mongolia University of Finance and Economics,Hohhot 010070,China

基金：

National Natural Science Foundation of ChinaFundamental Research Funds for the Inner Mongolia University of Finance and EconomicsYoung innovative and Entrepreneurial Talents of the Inner Mongolia Grassland Talents Project in 2022Autonomous Region"Five Major Tasks"Research Special Project for the Inner Mongolia University of Finance and Economics in 2024High Quality Research Achievement Cultivation Fund for the Inner Mongolia University of Finance and Economics in 2024Talent Development Fund of Inner Mongolia

项目编号：

12161061NCYWT23036NCXWD2422GZCG2426

出版年：

2024

DOI：

10.1088/0256-307X/41/9/090501

中国物理快报(英文版)

中国科学院物理研究所,中国物理学会

中国物理快报(英文版)

CSTPCDEI

影响因子：0.515

ISSN：0256-307X

年,卷(期)：2024.41(9)