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Controlling chaos in the Bose-Einstein condensate system of a double lattice

  • Statistical, Nonlinear, and Soft Matter Physics
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Abstract

We study the chaotic dynamics in the Bose-Einstein condensate (BEC) system of a double lattice. Chaotic space-time evolution is investigated for the particle number density in a BEC. By changing of the s-wave scattering length with a Feshbach resonance, the chaotic behavior can be well controlled to enter into periodicity. Numerical calculation shows that there is periodic orbit according to the s-wave scattering length only if the maximal Lyapunov exponent of the system is negative.

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References

  1. V. S. Filho, A. Gammal, T. Frederico, and L. Tomio, Phys. Rev. A: At., Mol., Opt. Phys. 62(3), 033605 (2000).

    Article  ADS  Google Scholar 

  2. H. R. Brand and R. J. Deissler, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 58(4), R4064 (1998); O. Morsch and M. Oberthaler, Rev. Mod. Phys. 78 (1), 179 (2006).

    Article  MathSciNet  Google Scholar 

  3. W. Hai, C. Lee, G. Chong, and L. Shi, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 66(2), 026 202 (2002); Q. Xie, W. Hai, and G. Chong, Chaos 13 (3), 801 (2003); C. Lee, W. Hai, L. Shi, X. Zhu, and K. Gao, Phys. Rev. A: At., Mol., Opt. Phys. 64, 053604 (2001).

    Article  Google Scholar 

  4. Sh. Chen, G. Yuan, et al., CEPS 30, 411 (2006) [in Chinese].

    MATH  MathSciNet  Google Scholar 

  5. G. Chong, W. Hai, and Q. Xie, Chaos 14(2), 217 (2004); Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 70 (3), 036213 (2004).

    Article  ADS  Google Scholar 

  6. Yu. Kagan, E. L. Surkov, and G. V. Shlyapnikov, Phys. Rev. A: At., Mol., Opt. Phys. 55, R18 (1997).

    Article  ADS  Google Scholar 

  7. P. Coullet and N. Vandenberghe, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 64, 025202 (2001).

    Article  ADS  Google Scholar 

  8. R. Franzosi and V. Penna, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 67, 046227 (2003).

    Article  ADS  Google Scholar 

  9. Q. Thommen, J. C. Garreau, and U. Zehnle, Phys. Rev. Lett. 91, 210405 (2003).

    Article  ADS  Google Scholar 

  10. A. Vardi and J. R. Anglin, Phys. Rev. Lett. 86, 568 (2001); G. P. Berman, A. Smerzi, and A. R. Bishop, Phys. Rev. Lett. 88, 120402 (2002); C. Zhang, J. Liu, M. G. Raizen, and Q. Niu, Phys. Rev. Lett. 92, 054101 (2004).

    Article  ADS  Google Scholar 

  11. H. Saito and M. Ueda, Phys. Rev. Lett. 86, 1406 (2001).

    Article  ADS  Google Scholar 

  12. V. I. Kuvshinov, A. V. Kuzmin, and R. G. Shulyakovsky, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 67, 015201 (2003).

    Article  ADS  Google Scholar 

  13. Guishu Chong, Wenhua Hai, and Qiongtao Xie, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 71, 016202 (2005).

    Article  ADS  Google Scholar 

  14. Zhixia Wang, Xihe Zhang, and Ke Shen, J. Low. Temp. Phys. 152, 136 (2008).

    Article  ADS  MathSciNet  Google Scholar 

  15. Zhixia Wang, Xihe Zhang, and Ke Shen, Zh. Eksp. Teor. Fiz. 134(5), 862 (2008) [JETP 107 (5), 734 (2008)].

    Google Scholar 

  16. Zhixia Wang and Ke Shen, Cent. Eur. J. Phys. 6, 402 (2008).

    Article  Google Scholar 

  17. Z. Wang, X. Zhang, and K. Shen, Chin. Phys. 17, 3270 (2008).

    Article  Google Scholar 

  18. Z. Wang, X. Zhang, and K. Shen, Commun. Theor. Phys. 50, 215 (2008).

    Article  ADS  Google Scholar 

  19. Z. Wang, X. Zhang, and K. Shen, Acta Phys. Sin. 57, 7586 (2008).

    Google Scholar 

  20. Wehua Hai, Chaohong Lee, Guishu Chong, and Lei Shi, Phys. Rev. A: At., Mol., Opt. Phys. 64, 053604 (2001).

    Article  ADS  Google Scholar 

  21. Chaohong Lee, Wehua Hai, Lei Shi, Xiwen Zhu, and Kelin Gao, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 66, 026 202 (2002).

    Google Scholar 

  22. E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  23. J. Xu, Paper of Master’s Degree of Hunan Normal University (Changsha, Hunan, China, 2007).

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Correspondence to Zhixia Wang.

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Wang, Z., Ni, Z., Cong, F. et al. Controlling chaos in the Bose-Einstein condensate system of a double lattice. J. Exp. Theor. Phys. 112, 355–359 (2011). https://doi.org/10.1134/S1063776111010171

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  • DOI: https://doi.org/10.1134/S1063776111010171

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