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Dynamically compressed bright and dark solitons in highly anisotropic Bose-Einstein condensates

  • Nonlinear Dynamics
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Abstract

Bright and dark matter wave solitons are constructed analytically in a three-dimensional (3D) highly anisotropic Bose-Einstein condensate (BEC) with a time-dependent parabolic potential, and numerical simulations are performed to confirm the existence and dynamics of such analytical solutions. Different classes of bright and dark solitons are discovered among the solutions of the generalized anisotropic (3+1)D Gross-Pitaevskii equation. Our results demonstrate that the bright and dark solitary waves can be manipulated and controlled by changing the scattering length, which can be used to compress the second-order bright and dark solitons of BECs into desired peak density.

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References

  • L.P. Pitaevskii, S. Stringari, Bose-Einstein Condensation (Clarendon Press, Oxford, 2003)

  • S. Burger et al., Phys. Rev. Lett. 83, 5198 (1999); J. Denschlag et al., Science 287, 97 (2000)

    Google Scholar 

  • K.E. Strecker et al., Nature 417, 150 (2002)

  • L. Khaykovich et al., Science 296, 1290 (2002)

  • A. Hasegawa, Y. Kodama, Solitons in optical communications (Clarendon Press, Oxford, 1995)

  • S. Hiroki, U. Masahito, Phys. Rev. Lett. 90, 040403 (2003)

    Google Scholar 

  • F.K. Abdullaev, G.C. Jean, A.K. Robert, B.A. Malomed, Phys. Rev. A 67, 013605 (2003)

    Google Scholar 

  • V.M. Perez-Garcia, H. Michinel, H. Herrero, Phys. Rev. A 57, 3837 (1998)

  • G. Theocharis, P.G. Kevrekidis, D.J. Frantzeskakis, V.V. Konotop, Phys. Rev. A 67, 063610 (2003)

    Google Scholar 

  • Z.X. Liang, Z.D. Zhang, W.M. Liu, Phys. Rev. Lett. 94, 050402 (2005)

  • G. Theocharis, Z. Rapti, P.G. Kevrekidis, D.J. Frantzeskakis, V.V. Konotop, Phys. Rev. E 71, 017602 (2005)

    Google Scholar 

  • F.K. Abdullaev, R. Galimzyanov, J. Phys. B: At. Mol. Opt. Phys. 36, 1099 (2003)

    Google Scholar 

  • F.K. Abdullaev, M. Salerno, J. Phys. B: At. Mol. Opt. Phys. 36, 2851 (2003)

  • W.P. Zhong, M. Belic, R.H. Xie, G. Chen, Invertis J. Sci. Tech. 2, 62 (2009)

    Google Scholar 

  • C. Sulem, P.L. Sulem, The nonlinear Schrodinger equation(Springer-Verlag, New York, 1999)

  • F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 71, 463 (1999)

    Google Scholar 

  • G. Theocharis, P. Schmelcher, P.G. Kevrekidis, D.J. Frantzeskakis, Phys. Rev. A 72, 033614 (2005)

    Google Scholar 

  • V.A. Brazhnyi, V.V. Konotop, Phys. Rev. A 68, 043613 (2003)

    Google Scholar 

  • B. Baizakov, G. Filatrella, B. Malomed, M. Salerno, Phys. Rev. E 71, 036619 (2005)

    Google Scholar 

  • M.R. Belic, W.P. Zhong, Eur. Phys. J. D 53, 97 (2009)

    Google Scholar 

  • S. Lopez-Aguayo, A.S. Desyatnikov, Y.S. Kivshar, S. Skupin, W. Krolikowski, O. Bang, Opt. Lett. 31, 1100 (2006)

    Google Scholar 

  • D. Zwillinger, Handbook of differential equations, 3rd edn. (Boston, Academic Press, 1997)

Download references

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Authors and Affiliations

  1. Department of Electronic Engineering, Shunde Polytechnic College, Guangdong Province, Shunde, 528300, P.R. China

    W. P. Zhong

  2. Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar

    M. Belić

  3. Department of Mathematics, Texas A & M University, College Station, TX, 77843, USA

    R. H. Xie & G. Chen

  4. School of Electronic and Information Engineering, South China University of Technology, Guangzhou, 510640, P.R. China

    Y. Q. Lu

Authors
  1. W. P. Zhong
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  2. M. Belić
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  3. R. H. Xie
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  4. G. Chen
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  5. Y. Q. Lu
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Corresponding author

Correspondence to W. P. Zhong.

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Zhong, W., Belić, M., Xie, R. et al. Dynamically compressed bright and dark solitons in highly anisotropic Bose-Einstein condensates. Eur. Phys. J. D 55, 147–153 (2009). https://doi.org/10.1140/epjd/e2009-00223-5

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  • DOI: https://doi.org/10.1140/epjd/e2009-00223-5

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