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Stabilizations of Two-Dimensional Trapped and Untrapped Matter Waves via a Feshbach Resonance Technique |
| LUO Xiao-Bing;HAI Wen-Hua |
| Department of Physics, Hunan Normal University, Changsha 410081 |
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| Cite this article: |
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LUO Xiao-Bing, HAI Wen-Hua 2005 Chin. Phys. Lett. 22 808-811 |
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Abstract We have studied the dynamics of two-dimensional (2D) trapped and untrapped Bose--Einstein condensates (BECs) with a rapid periodic modulation of the scattering length via a Feshbach resonance technique, a → a0+a1sin(Ωt) with an attractive (negative) mean value and the large constants a0, a1 and Ω. Applying a variation approximation (VA), the critical threshold for the collapse of the 2D trapped vortex BEC is predicted and the collapse is prevented by causing the scattering length oscillating rapidly. On the other hand, with analytical calculation, we prove that the stabilization of a bright soliton in a 2D untrapped BEC is impossible for enough large interaction intensity and the upper limit of the intensity for the soliton stabilization is derived.
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03.75.Kk
05.30.Jp
03.75.Lm
47.20.Ky
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Published: 01 April 2005
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| PACS: |
03.75.Kk
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(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
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05.30.Jp
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(Boson systems)
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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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47.20.Ky
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(Nonlinearity, bifurcation, and symmetry breaking)
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