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International Journal of Theoretical Physics

, Volume 50, Issue 9, pp 2776–2789 | Cite as

Compression of Bright Bound Solitons in the Bose-Einstein Condensates with Exponentially Time-Dependent Atomic Scattering Length by the Feshbach Resonance

  • Zhi-Yuan Sun
  • Yi-Tian Gao
  • Xin Yu
  • Ying Liu
Article

Abstract

We investigate compression of the bright bound solitons in the Bose-Einstein condensates (BECs) by exponentially increasing the absolute value of the atomic scattering length. Similarity transformation and Hirota bilinear method are used to symbolically solve the one-dimensional nonlinear Schrödinger equation with the time-dependent coefficients. We present types of the bright bound solitons in compression through manipulating their initial coherence. Results show that the improved quantity of the atomic density peaks can be observed before the collapse of the solitons when their coherence is increased. Furthermore, we discuss how those compressed bound solitons are influenced by the adjacent solitons. The bound structures in our study are illustrated to exist with the parameters within the current experimental capacity (the spatial and temporal ranges of the bound solitons are less than 56 μm and 50 ms in our investigation), which suggests a future observation in the BECs experiments.

Keywords

Bose-Einstein condensate Nonlinear Schrödinger equation Bound soliton Soliton compression Soliton interaction Feshbach resonance Symbolic computation 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid DynamicsBeijing University of Aeronautics and AstronauticsBeijingChina
  2. 2.State Key Laboratory of Software Development EnvironmentBeijing University of Aeronautics and AstronauticsBeijingChina

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