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Evolution and controlled manipulation of a Bose-Einstein condensate chirped soliton in external potentials

Zong Feng-De Yang Yang Zhang Jie-Fang

Evolution and controlled manipulation of a Bose-Einstein condensate chirped soliton in external potentials

Zong Feng-De, Yang Yang, Zhang Jie-Fang
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Publishing process
  • Received Date:  15 August 2008
  • Accepted Date:  21 October 2008
  • Published Online:  05 March 2009

Evolution and controlled manipulation of a Bose-Einstein condensate chirped soliton in external potentials

  • 1. 浙江师范大学非线性物理研究所,金华 321004

Abstract: An extended variational method for describing the dynamics of a Bose-Einstein condensate (BEC) chirped soliton in the presence of periodic and harmonic potentials is developed. It is shown that the BEC chirped soliton dynamics can be deduced via the extended variational method to a set of four coupled nonlinear differential equations. This deduced set of equations agrees remarkably well with full numerical simulations and highlights the dominant physical interactions in the system, namely amplitude, width, chirp, center-position, and center-frequency dynamics. The extended analytic theory provides a useful, accurate, and greatly simplified description of the governing BEC chirped soliton dynamics. It further gives the critical strength ratio of periodic to harmonic potential necessary to support multiple stable lattice sites for the BEC chirped soliton and demonstrates that the BEC chirped soliton can move selectively from one lattice site to another by simply manipulating the potentials. In addition, some interesting results for the experiments and applications of the BEC are also obtained.

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