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Motion of a Bose--Einstein Condensate Bright Soliton Incident on a Step-Like Potential |
| CHENG Yong-Shan1,2;GONG Rong-Zhou1;LI Hong2 |
| 1Department of Electronic Science and Technology, Huazhong University of Science and Technology, Wuhan 430074
2Hubei Key Laboratory of Bioanalytical Technique, Hubei Normal University, Huangshi 435002 |
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| Cite this article: |
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CHENG Yong-Shan, GONG Rong-Zhou, LI Hong 2007 Chin. Phys. Lett. 24 35-38 |
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Abstract The motion characteristics of a Bose--Einstein condensate bright soliton incident on a local step-like potential barrier are investigated analytically by means of the variational approach. The dynamics of the soliton-potential interaction is studied as well. Then the results are verified by direct numerical simulations of the Gross--Pitaevskii equation. It is found that a moving bright soliton can be reflected from or pass over a step-like potential in a controllable fashion, the critical velocity depends on the width of the soliton and the parameters of the step, and the motion trajectory of the soliton does not depend on its phase. The atom density envelope of the soliton is changed as the result of the interaction between the soliton and the step-like potential.
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| Keywords:
03.75.Lm
03.75.Kk
05.45.Yv
04.20.Fy
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Published: 01 January 2007
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| PACS: |
03.75.Lm
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(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
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03.75.Kk
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(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
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05.45.Yv
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(Solitons)
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04.20.Fy
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(Canonical formalism, Lagrangians, and variational principles)
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