Bose-Einstein Condensates in Optical Lattices in the Nonlinear Regime

  • Oliver Morsch
  • Ennio Arimondo
Conference paper
Part of the NATO Science Series II: Mathematics, Physics and Chemistry book series (NAII, volume 153)

Abstract

Bose-Einstein condensates in optical lattices are a valuable tool for investigating the nonlinear dynamics of matter waves in periodic potentials. In this review, we present and discuss recent experiments on the free expansion, nonlinear Landau-Zener tunneling and instabilities of condensates in such potentials.

Keywords

Bose-Einstein condensate nonlinearity Landau-Zener tunneling instability 
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References

  1. [1]
    K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).CrossRefADSGoogle Scholar
  2. [2]
    B.P. Anderson and M.A. Kasevich, Science 282, 1686 (1998).CrossRefADSGoogle Scholar
  3. [3]
    For a review of optical lattice research, see D.R. Meacher, Contemp. Phys. 39, 329 (1998).CrossRefADSGoogle Scholar
  4. [4]
    S. Chu, L. Hollberg, J. E. Bjorkholm, A. Cable, and A. Ashkin, Phys. Rev. Lett. 55, 48 (1985).CrossRefADSGoogle Scholar
  5. [5]
    E. L. Raab, M. Prentiss, A. Cable, S. Chu, and D. E. Pritchard, Phys. Rev. Lett. 59, 2631 (1987).CrossRefADSGoogle Scholar
  6. [6]
    For an introduction to the Gross-Pitaevskii equation as applied to BECs, see F. Dalfovo, S. Giorgini, L.P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).CrossRefADSGoogle Scholar
  7. [7]
    C. Kittel, Introduction to Solid State Physics, New York: Wiley&Sons, 7th ed. (1996).Google Scholar
  8. [8]
    M. Cristiani, O. Morsch, J. H. Müuller, D. Ciampini, and E. Arimondo, Phys. Rev. A 65, 063612 (2002).CrossRefADSGoogle Scholar
  9. [9]
    J.H. Müuller, D. Ciampini, O. Morsch, G. Smirne, M. Fazzi, P. Verkerk, F. Fuso, and E. Arimondo, J. Phys. B 33 4095 (2000).ADSCrossRefGoogle Scholar
  10. [10]
    Y.B. Band, B. Malomed, and M. Trippenbach, Phys. Rev. A 65, 033607 (2002).ADSCrossRefGoogle Scholar
  11. [11]
    D.-I. Choi and Q. Niu, Phys. Rev. Lett. 82, 2022 (1999).ADSCrossRefGoogle Scholar
  12. [12]
    Y. Castin and R. Dum, Phys. Rev. Lett. 77, 5315 (1996).CrossRefADSGoogle Scholar
  13. [13]
    O. Morsch, M. Cristiani, J. H. Müuller, D. Ciampini, and E. Arimondo, Phys. Rev. A 66, 021601 (2002).CrossRefADSGoogle Scholar
  14. [14]
    P. Pedri, L. Pitaevskii, S. Stringari, C. Fort, S. Burger, F. S. Cataliotti, P. Maddaloni, F. Minardi, and M. Inguscio, Phys. Rev. Lett. 87, 220401 (2001).CrossRefADSGoogle Scholar
  15. [15]
    A. Görlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, Phys. Rev. Lett. 87, 130402 (2001).CrossRefGoogle Scholar
  16. [16]
    S. Burger, F.S. Cataliotti, C. Fort, P. Maddaloni, F. Minardi, and M. Inguscio, Europhys. Lett. 57, 1 (2002).CrossRefADSGoogle Scholar
  17. [17]
    O. Morsch, J. H. Müuller, M. Cristiani, D. Ciampini, and E. Arimondo, Phys. Rev. Lett. 87, 140402 (2001).CrossRefADSGoogle Scholar
  18. [18]
    M. Jona-Lasinio, O. Morsch, M. Cristiani, N. Malossi, J.H. Müuller, E. Courtade, M. Anderlini, and E. Arimondo, e-print: cond-mat/0306210 (accepted for publication in Phys. Rev. Lett.).Google Scholar
  19. [19]
    Biao Wu and Qian Niu, New J. Phys. 5, 104 (2003).CrossRefADSGoogle Scholar
  20. [20]
    R.G. Scott, A.M. Martin, T.M. Fromhold, S. Bujkiewicz, F.W. Sheard, and M. Leadbeater, Phys. Rev. Lett. 90, 110404 (2003).CrossRefADSGoogle Scholar
  21. [21]
    M. Cristiani, O. Morsch, N. Malossi, M. Jona-Lasinio, M. Anderlini, E. Courtade, and E. Arimondo, e-print: cond-mat/0311160.Google Scholar
  22. [22]
    Andrey A. Sukhorukov, Dragomir Neshev, Wieslaw Krolikowski, and Yuri S. Kivshar, e-print: nlin.PS/0309075.Google Scholar
  23. [23]
    B. Eiermann, P. Treutlein, Th. Anker, M. Albiez, M. Taglieber, K.-P. Marzlin, and M. K. Oberthaler, Phys. Rev. Lett. 91, 060402 (2003).CrossRefADSGoogle Scholar
  24. [24]
    G. Modugno, F. Ferlaino, R. Heidemann, G. Roati, and M. Inguscio, Phys. Rev. A 68, 011601 (2003).ADSCrossRefGoogle Scholar
  25. [25]
    H. Ott, E. de Mirandes, F. Ferlaino, G. Roati, G. Modugno, and M. Inguscio, e-print: cond-mat/0311261.Google Scholar

Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Oliver Morsch
    • 1
  • Ennio Arimondo
    • 1
  1. 1.Dipartimento di FisicaINFMPisaItaly

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