Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2008-08-28
Phys. Rev. A. 77, 023613 (2008)
Physics
Condensed Matter
Other Condensed Matter
7 pages, 7 figures
Scientific paper
10.1103/PhysRevA.77.023613
We present how to control interactions between solitons, either bright or dark, in Bose-Einstein condensates by synchronizing Feshbach resonance and harmonic trap. Our results show that as long as the scattering length is to be modulated in time via a changing magnetic field near the Feshbach resonance, and the harmonic trapping frequencies are also modulated in time, exact solutions of the one-dimensional nonlinear Schr\"{o}dinger equation can be found in a general closed form, and interactions between two solitons are modulated in detail in currently experimental conditions. We also propose experimental protocols to observe the phenomena such as fusion, fission, warp, oscillation, elastic collision in future experiments.
Chen Xu-Zong
Liu Wei-Min
Yang Qin
Zhang Jie-Fang
Zhang Xiao-Fei
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