The European Physical Journal D

, Volume 64, Issue 2–3, pp 473–478 | Cite as

Matter rogue wave in Bose-Einstein condensates with attractive atomic interaction

  • L. Wen
  • L. Li
  • Z. D. Li
  • S. W. Song
  • X. F. Zhang
  • W. M. Liu
Regular Article Cold Matter and Quantum Gases

Abstract

We investigate the matter rogue wave in Bose-Einstein condensates with attractive interatomic interaction analytically and numerically. Our results show that the formation of rogue wave is mainly due to the accumulation of energy and atoms toward to its central part; and the decay rate of atoms in unstable matter rogue wave can be effectively controlled by modulating the trapping frequency of external potential. The numerical simulation demonstrate that even a small periodic perturbation with small modulation frequency can induce the generation of a near-ideal matter rogue wave. We also give an experimental protocol to observe this phenomenon in Bose-Einstein condensates.

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References

  1. 1.
    L. Pitaevskii, S. Stringari, Bose-Einstein Condensation (Oxford University Press, New York, 2003) Google Scholar
  2. 2.
    J.L. Roberts, N.R. Claussen, J.P. Burke, C.H. Greene, E.A. Cornell, C.E. Wieman, Phys. Rev. Lett. 81, 5109 (1998) ADSCrossRefGoogle Scholar
  3. 3.
    J. Stenger, S. Inouye, M.R. Andrews, H.-J. Miesner, D.M. Stamper-Kurn, W. Ketterle, Phys. Rev. Lett. 82, 2422 (1999) ADSCrossRefGoogle Scholar
  4. 4.
    F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 71, 463 (1999) ADSCrossRefGoogle Scholar
  5. 5.
    T. Busch, J.R. Anglin, Phys. Rev. Lett. 87, 010401 (2001) ADSCrossRefGoogle Scholar
  6. 6.
    A.E. Muryshev et al., Phys. Rev. A 60, R2665 (1999) ADSCrossRefGoogle Scholar
  7. 7.
    D.S. Wang, X.H. Hu, W.M. Liu, Phys. Rev. A 82, 023612 (2010) ADSCrossRefGoogle Scholar
  8. 8.
    W.P. Zhang, D.F. Walls, B.C. Sanders, Phys. Rev. Lett. 72, 60 (1994) ADSCrossRefGoogle Scholar
  9. 9.
    D.S. Wang, X.H. Hu, J.P. Hu, W.M. Liu, Phys. Rev. A 81, 025604 (2010) ADSCrossRefGoogle Scholar
  10. 10.
    P.G. Kevrekidis, G. Theocharis, D.J. Frantzeskakis, B.A. Malomed, Phys. Rev. Lett. 90, 230401 (2003) ADSCrossRefGoogle Scholar
  11. 11.
    H. Saito, M. Ueda, Phys. Rev. Lett. 90, 040403 (2003) ADSCrossRefGoogle Scholar
  12. 12.
    Z.X. Liang, Z.D. Zhang, W.M. Liu, Phys. Rev. Lett. 94, 050402 (2005) ADSCrossRefGoogle Scholar
  13. 13.
    V.V. Konotop, P. Pacciani, Phys. Rev. Lett. 94, 240405 (2005) ADSCrossRefGoogle Scholar
  14. 14.
    X.F. Zhang, Q. Yang, J.F. Zhang, X.Z. Chen, W.M. Liu, Phys. Rev. A 77, 023613 (2008) ADSCrossRefGoogle Scholar
  15. 15.
    J. Denschlag et al., Science 287, 97 (2000) ADSCrossRefGoogle Scholar
  16. 16.
    S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, Phys. Rev. Lett. 83, 5198 (1999) ADSCrossRefGoogle Scholar
  17. 17.
    Z.Y. Sun et al., Europhys. Lett. 93, 40004 (2011) ADSCrossRefGoogle Scholar
  18. 18.
    K.E. Strecker, G.B. Partridge, A.G. Truscott, R.G. Hulet, Nature 417, 150 (2002) ADSCrossRefGoogle Scholar
  19. 19.
    L. Khaykovich et al., Science 296, 1290 (2002) ADSCrossRefGoogle Scholar
  20. 20.
    F.K. Abdullaev, A.M. Kamchatnov, V.V. Konotop, V.A. Brazhnyi, Phys. Rev. Lett. 90, 230402 (2003) ADSCrossRefGoogle Scholar
  21. 21.
    V.M. Pérez-Garcĺa, V.V. Konotop, V.A. Brazhnyi, Phys. Rev. Lett. 92, 220403 (2004) CrossRefGoogle Scholar
  22. 22.
    B.P. Anderson, P.C. Haljan, C.A. Regal, D.L. Feder, L.A. Collins, C.W. Clark, E.A. Cornell, Phys. Rev. Lett. 86, 2926 (2001) ADSCrossRefGoogle Scholar
  23. 23.
    G. Theocharis, D.J. Frantzeskakis, P.G. Kevrekidis, B.A. Malomed, Y.S. Kivshar, Phys. Rev. Lett. 90, 120403 (2003) ADSCrossRefGoogle Scholar
  24. 24.
    C. Kharif et al., Eur. J. Mech. B, Fluids 22, 603 (2003) Google Scholar
  25. 25.
    P. Müller, Ch. Garrett, A. Osborne, Oceanography 18, 66 (2005) CrossRefGoogle Scholar
  26. 26.
    D.H. Peregrine, J. Austral. Math. Soc. 25, 16 (1983) MathSciNetMATHCrossRefGoogle Scholar
  27. 27.
    A.R. Osborne, Mar. Struct. 14, 275 (2001) CrossRefGoogle Scholar
  28. 28.
    K.L. Henderson et al., Wave Motion 29, 341 (1999) MathSciNetMATHCrossRefGoogle Scholar
  29. 29.
    M. Onorato et al., Phys. Rev. Lett. 86, 5831 (2001) ADSCrossRefGoogle Scholar
  30. 30.
    P.A. E.M. Janssen, J. Phys. Oceanogr. 33, 863 (2003) MathSciNetADSCrossRefGoogle Scholar
  31. 31.
    M. Onorato, A.R. Osborne, M. Serio, Phys. Rev. Lett. 96, 014503 (2006) ADSCrossRefGoogle Scholar
  32. 32.
    P.K. Shukla, I. Kourakis, B. Eliasson, M. Marklund, L. Stenflo, Phys. Rev. Lett. 97, 094501 (2006) ADSCrossRefGoogle Scholar
  33. 33.
    D.R. Solli et al., Nature 450, 1054 (2007) ADSCrossRefGoogle Scholar
  34. 34.
    D.-I. Yeom et al., Nature 450, 953 (2007) ADSCrossRefGoogle Scholar
  35. 35.
    B. Kibler et al., Nature Phys. 6, 790 (2010) ADSCrossRefGoogle Scholar
  36. 36.
    K. Hammani et al., Opt. Lett. 36, 112 (2011) ADSCrossRefGoogle Scholar
  37. 37.
    A. Chabchoub, N.P. Hoffmann, N. Akhmediev, Phys. Rev. Lett. 106, 204502 (2011) ADSCrossRefGoogle Scholar
  38. 38.
    M. Shatz, H. Punzmann, H. Xia, Phys. Rev. Lett. 104, 104503 (2010) ADSCrossRefGoogle Scholar
  39. 39.
    P.G. Kevrekidis et al., Mod. Phys. Lett. B 18, 173 (2004) ADSCrossRefGoogle Scholar
  40. 40.
    L. Li et al., Opt. Commun. 234, 169 (2004) ADSCrossRefGoogle Scholar
  41. 41.
    Q.Y. Li et al., Opt. Commun. 283, 3361 (2010) ADSCrossRefGoogle Scholar
  42. 42.
    V.N. Serkin, A. Hasegawa, T.L. Belyaeva, Phys. Rev. Lett. 98, 074102 (2007) ADSCrossRefGoogle Scholar
  43. 43.
    Z.Y. Yan, Phys. Lett. A 374, 672 (2010) ADSCrossRefGoogle Scholar
  44. 44.
    N. Akhmediev, J.M. Soto-Crespo, A. Ankiewicz, Phys. Rev. A 80, 043818 (2009) ADSCrossRefGoogle Scholar
  45. 45.
    Yu.A. Bludov, V.V. Konotop, N. Akhmediev, Phys. Rev. A 80, 033610 (2009) ADSCrossRefGoogle Scholar
  46. 46.
    L.D. Carr, J. Brand, Phys. Rev. Lett. 92, 040401 (2004) ADSCrossRefGoogle Scholar
  47. 47.
    L. Salasnich, A. Parola, L. Reatto, Phys. Rev. Lett. 91, 080405 (2003) ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • L. Wen
    • 1
  • L. Li
    • 2
  • Z. D. Li
    • 3
  • S. W. Song
    • 1
  • X. F. Zhang
    • 1
  • W. M. Liu
    • 1
  1. 1.Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of SciencesBeijingP.R. China
  2. 2.Institute of Theoretical PhysicsShanxi UniversityTaiyuanP.R. China
  3. 3.Department of Applied Physics and School of Information EngineeringHebei University of TechnologyTianjinP.R. China

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