中国物理B ›› 2007, Vol. 16 ›› Issue (8): 2244-2253.doi: 10.1088/1009-1963/16/8/015

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Generation and control of chaos in a Bose--Einstein condensate

徐军, 海文华, 李辉   

  1. Department of Physics, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2007-01-01 修回日期:2007-01-10 出版日期:2007-08-20 发布日期:2007-08-20
  • 基金资助:
    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).

Generation and control of chaos in a Bose--Einstein condensate

Xu Jun(徐军), Hai Wen-Hua(海文华)†, and Li Hui(李辉)   

  1. Department of Physics, Hunan Normal University, Changsha 410081, China
  • Received:2007-01-01 Revised:2007-01-10 Online:2007-08-20 Published:2007-08-20
  • Supported by:
    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).

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摘要： 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 k1\approx k2 between the two laser wave vectors is kept, the adjustment from k21 to k2\ge k1 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.

关键词: Bose--Einstein condensate, double lattice, chaotic region, control

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.

Key words: Bose--Einstein condensate, double lattice, chaotic region, control

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
03.75.Nt (Other Bose-Einstein condensation phenomena)