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Breathing Bright Solitons in a Bose-Einstein Condensate |
| CHONG Gui-Shu;HAI Wen-Hua;XIE Qiong-Tao |
| Department of Physics, Hunan Normal University, Changsha 410081 |
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| Cite this article: |
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CHONG Gui-Shu, HAI Wen-Hua, XIE Qiong-Tao 2003 Chin. Phys. Lett. 20 2098-2101 |
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Abstract A Bose-Einstein condensate with time varying scattering length in time-dependent harmonic trap is analytically investigated and soliton-like solutions of the Gross-Pitaeviskii equation are obtained to describe single soliton, bisoliton and N-soliton properties of the matter-wave. The influences of the geometrical property and modulate frequency of trapping potential on soliton behaviour are discussed. When the trap potential has a very small trap aspect ratio or oscillates with a high frequency, the matter-wave preserves its shape nearly like a soliton train in propagation. While the breathing behaviour, which displays the periodic collapse and revival of the matter-wave, is found for a relatively large aspect ratio or slow varying potential. Meanwhile mass center of the matter-wave translates and/or oscillates for different trap aspect ratio and trap frequnces.
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| Keywords:
03.75.Lm
03.75.Kk
05.45.Yv
32.80.Pj
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Published: 01 December 2003
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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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32.80.Pj
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