Abstract For a Bose--Einstein condensate (BEC) confined in a double lattice consisting of two weak laser standing waves we find the Melnikov chaotic solution and chaotic region of parameter space by using the direct perturbation method. In the chaotic region, spatial evolutions of the chaotic solution and the corresponding distribution of particle number density are bounded but unpredictable between their superior and inferior limits. It is illustrated that when the relation $k_{1}\approx k_{2}$ between the two laser wave vectors is kept, the adjustment from $k_{2}<k_{1}$ to $k_{2}\ge k_{1}$ can transform the chaotic region into regular one or the other way round. This suggests a feasible scheme for generating and controlling chaos, which could lead to an experimental observation in the near future.
Received: 01 January 2007
Revised: 10 January 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10575034), and the Key
Laboratory of Magnetic Resonance and Atomic and Molecular Physics of
China (Grant No T152504).
Cite this article:
Xu Jun(徐军), Hai Wen-Hua(海文华), and Li Hui(李辉) Generation and control of chaos in a Bose--Einstein condensate 2007 Chinese Physics 16 2244
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