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Controlled Manipulation with a Bose--Einstein Condensates N-Soliton Train under the Influence of Harmonic and Tilted Periodic Potentials |
| ZONG Feng-De, ZHANG Jie-Fang |
| Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004 |
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| Cite this article: |
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ZONG Feng-De, ZHANG Jie-Fang 2008 Chin. Phys. Lett. 25 2370-2374 |
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Abstract A model of the perturbed complex Toda chain (PCTC) to describe the dynamics of a Bose--Einstein condensate (BEC) N-soliton train trapped in an applied combined external potential consisting of both a weak harmonic and tilted periodic component is first developed. Using the developed theory, the BEC N-soliton train dynamics is shown to be well approximated by 4N coupled nonlinear differential equations, which describe the fundamental interactions in the system arising from the interplay of amplitude, velocity, centre-of-mass position, and phase. The simplified analytic theory allows for an efficient and convenient method for characterizing the BEC N-soliton train behaviour. It further gives the critical values of the strength of the potential for which one or more localized states can be extracted from a soliton train and demonstrates that the BEC N-soliton train can move selectively from one lattice site to another by simply manipulating the strength of the potential.
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| Keywords:
03.75.Lm
03.75.Kk
05.45.Yv
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Received: 12 January 2008
Published: 26 June 2008
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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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