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Soliton dynamics and interaction in the Bose–Einstein condensates with harmonic trapping potential and time-varying interatomic interaction

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Abstract

Investigated in this paper is the quasi-one-dimensional Gross–Pitaevskii equation, which describes the dynamics of the Bose–Einstein condensates with the harmonic trapping potential and time-varying interatomic interaction. Via the Horita method and symbolic computation, analytic bright N-soliton solution is obtained. One-, two- and three-soliton solutions are analyzed graphically. Based on the limit analysis on the one- and two-soliton solutions, the modulation on the speed of the matter-wave bright solitons is realized. Via the parameters, the interaction between the matter-wave solitons are adjustable. Furthermore, an approach to construct the interference between the matter-wave solitons has been proposed. Finally, investigation on the three-soliton solution verifies our conclusions drawn from the one and two solitons. Our conclusions might be useful in the fields of the control on the matter-wave solitons, atom lasers, and atomic accelerators.

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Authors and Affiliations

  1. School of Science, Beijing University of Posts and Telecommunications, P.O. Box 122, Beijing, 100876, China

    Kun Sun, Bo Tian, Wen-Jun Liu, Yan Jiang, Qi-Xing Qu & Pan Wang

  2. State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing, 100191, China

    Bo Tian

  3. Key Laboratory of Information Photonics and Optical Communications, Ministry of Education, Beijing University of Posts and Telecommunications, P.O. Box 128, Beijing, 100876, China

    Bo Tian

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  1. Kun Sun
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  2. Bo Tian
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Correspondence to Bo Tian.

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Sun, K., Tian, B., Liu, WJ. et al. Soliton dynamics and interaction in the Bose–Einstein condensates with harmonic trapping potential and time-varying interatomic interaction. Nonlinear Dyn 67, 165–175 (2012). https://doi.org/10.1007/s11071-011-9969-6

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  • DOI: https://doi.org/10.1007/s11071-011-9969-6

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