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Z. Naturforsch. 67a, 723 – 728
(2012)
doi:10.5560/ZNA.2012-0085
Nonperiodic Oscillation of Bright Solitons in Condensates with a Periodically Oscillating Harmonic Potential
1 Department of Physics, Xiangtan University, Xiangtan 411105, China
2 College of Electronic Science Engineering, Nanjing University of Post & Telecommunication, Nanjing, 211106, China
Received April 2, 2012 / revised August 18, 2012 / published online November 14, 2012
Reprint requests to: D. W.; E-mail:
dlwang@xtu.edu.cn
Considering a periodically oscillating harmonic potential, we explored the dynamic properties of bright solitons in a Bose–Einstein condensate by using Darboux transformation. It is found that the soliton movement exhibits a nonperiodic oscillation under a slow oscillating potential, while it is hardly affected under a fast oscillating potential. Furthermore, the head-on and/or ‘chase’ collisions of two solitons have been obtained, which could be controlled by the oscillation frequency of the potential.
Key words: Bose–Einstein Condensates; Oscillating Solitons; Periodically Oscillating Potential Trap; Darboux Transformation.
PACS numbers: 05.45.Yv; 03.75.Lm; 03.75.Kk