Experiments on Multidimensional Solitons

  • J. Brand
  • L. D. Carr
  • B. P. Anderson

The experimental work on solitons in BECs during the past decade has been extremely important in two respects. First, experiments have shown unambiguously that solitons and related nonlinear waves do exist in BECs. This was disputed at the time when the first experiments were performed in 1999 [1, 2] and may still be found surprising given that we are dealing with a quantum many-body system driven towards strongly non-equilibrium dynamics. Second, the experiments have inspired theoretical work in many directions. A particular example is the work on solitary waves in dimensional crossovers induced by trapping potentials that restrict the geometry, as discussed in Chap. 7.

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References

  1. 1.
    S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G.V. Shlyapnikov, M. Lewenstein, Phys. Rev. Lett. 83, 5198 (1999)CrossRefADSGoogle Scholar
  2. 2.
    J. Denschlag, J.E. Simsarian, D.L. Feder, C.W. Clark, L.A. Collins, J. Cubizolles, L. Deng, E.W. Hagley, K. Helmerson, W.P. Reinhardt, S.L. Rolston, B.I. Schneider, W.D. Phillips, Science 287, 97 (2000)CrossRefADSGoogle Scholar
  3. 3.
    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)CrossRefADSGoogle Scholar
  4. 4.
    Z. Dutton, M. Budde, C. Slowe, L.V. Hau, Science 293, 663 (2001)CrossRefADSGoogle Scholar
  5. 5.
    N.S. Ginsberg, J. Brand, L.V. Hau, Phys. Rev. Lett. 94, 040403 (2005)CrossRefADSGoogle Scholar
  6. 6.
    M.R. Matthews, B.P. Anderson, P.C. Haljan, D.S. Hall, C.E. Wieman, E.A. Cornell, Phys. Rev. Lett. 83, 2498 (1999)CrossRefADSGoogle Scholar
  7. 7.
    B.P. Anderson, et al. Phys. Rev. Lett. 85, 2857 (2000)CrossRefADSGoogle Scholar
  8. 8.
    J.E. Williams, M.J. Holland, Nature 401, 568 (1999)CrossRefADSGoogle Scholar
  9. 9.
    L.D. Carr, J. Brand, S. Burger, A. Sanpera, Phys. Rev. A 63, 051601(R) (2001)CrossRefADSGoogle Scholar
  10. 10.
    See Part III of this volume for theoretical and experimental reviews of dark solitons in BECsGoogle Scholar
  11. 11.
    M.R. Matthews, B.P. Anderson, P.C. Haljan, D.S. Hall, M.J. Holland, J.E. Williams, C.E. Wieman, E.A. Cornell, Phys. Rev. Lett. 83, 3358 (1999)CrossRefADSGoogle Scholar
  12. 12.
    K.-J. Boller, A. Imamolu, S.E. Harris, Phys. Rev. Lett. 66, 2593-2596 (1991)CrossRefADSGoogle Scholar
  13. 13.
    J.E. Field, K.H. Hahn, S.E. Harris, Phys. Rev. Lett. 67, 3062-3065 (1991)CrossRefADSGoogle Scholar
  14. 14.
    L.V. Hau, S.E. Harris, Z. Dutton, C.H. Behroozi, Nature 397, 594 (1999)CrossRefADSGoogle Scholar
  15. 15.
    C. Liu, Z. Dutton, C.H. Behroozi, L.V. Hau, Nature 409, 490 (2001)CrossRefADSGoogle Scholar
  16. 16.
    Z. Dutton, N.S. Ginsberg, C. Slowe, L.V. Hau, Europhys. News 35 (2004)Google Scholar
  17. 17.
    M. Zak, I. Kulikov, Phys. Lett. A 307, 99-106 (2003)MATHCrossRefMathSciNetADSGoogle Scholar
  18. 18.
    V.M. Pérez-García, V.V. Konotop, V.A. Brazhnyi, Phys. Rev. Lett. 92, 220403 (2004)CrossRefGoogle Scholar
  19. 19.
    A.M. Kamchatnov, A. Gammal, R.A. Kraenkel, Phys. Rev. A 69, 063605 (2004)CrossRefADSGoogle Scholar
  20. 20.
    B. Damski, Phys. Rev. A 69, 043610 (2004)CrossRefADSGoogle Scholar
  21. 21.
    M.A. Hoefer, et al. Phys. Rev. A 74, 023623 (2006)CrossRefADSGoogle Scholar
  22. 22.
    A.V. Mamaev, M. Saffman, A.A. Zozulya, Phys. Rev. Lett. 76, 226ca2 (1996); A.V. Mamaev et al., Phys. Rev. A 54, 870 (1996)CrossRefADSGoogle Scholar
  23. 23.
    V. Tikhonenko, J. Christou, B. Luther-Davies, Y.S. Kivshar, Opt. Lett. 21, 1129-1131 (1996)CrossRefADSGoogle Scholar
  24. 24.
    D.L. Feder, M.S. Pindzola, L.A. Collins, B.I. Schneider, C.W. Clark, Phys. Rev. A 62, 053606 (2000)CrossRefADSGoogle Scholar
  25. 25.
    G. Theocharis, D.J. Frantzeskakis, P.G. Kevrekidis, B.A. Malomed, Y.S. Kivshar. Phys. Rev. Lett. 90, 120403 (2003)CrossRefADSGoogle Scholar
  26. 26.
    G. Theocharis, P. Schmelcher, M.K. Oberthaler, P.G. Kevrekidis, D.J. Frantzeskakis, Phys. Rev. A 72, 023609 (2005)CrossRefADSGoogle Scholar
  27. 27.
    L.D. Carr, C.W. Clark. Phys. Rev. A 74, 043613 (2006)CrossRefADSGoogle Scholar
  28. 28.
    S. Komineas, J. Brand, Phys. Rev. Lett. 95, 110401 (2005)CrossRefMathSciNetADSGoogle Scholar
  29. 29.
    L.E. Sadler, J.M. Higbie, S.R. Leslie, M. Vengalattore, D.M. Stamper-Kurn, Nature 443, 312-315 (2006)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • J. Brand
    • 1
  • L. D. Carr
    • 2
  • B. P. Anderson
    • 3
  1. 1.Massey UniversityAucklandNew Zealand
  2. 2.Colorado School of MinesGoldenUSA
  3. 3.University of ArizonaTucsonUSA

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