Experiments with two Colliding Bose-Einstein Condensates in an Elongated Magneto-Static Trap

Part of the NATO Science Series book series (NAII, volume 51)


We review some experiments performed with two 87Rb Bose-Einstein condensates in an elongated magneto-static trap. The two condensates, being in different internal Zeemari state (F = 2, m f = 2〉 and F = 2, m f = 1〉), experience external parabolic potentials that differ by both curvature and equilibrium position. The dynamics of the system is characterized by periodic collisions between the two condensates, which strongly affect their center-of-mass and shape oscillations. In particular, we show that both an amplitude damping and a frequency shift occur in the large center-of-mass oscillations of the F = 2, m f = 1〉 condensate. The experimental data are quantitatively analyzed and found in agreement with the Gross-Pitaevskii theory for two interacting condensates at zero temperature.


Elastic Scattering Trapping Potential Radial Frequency Trapping Frequency Atom Loss 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Anderson, M.H., Ensher, J.R., Matthews, M.R., Wieman, C.E., and Cornell, E.A. (1995) Science 269, 1989; Davis, K.B., Mewes, M.-O., Andrews, M.R., van Druten, N.J., Durfee, D.S., Kurn, D.M., and Ketterle, W. (1995) Phys. Rev. Lett. 75, 3969; Bradley, C.C., Sackett, C.A., and Hulet, R.G. (1997) Phys. Rev. Lett. 78, 985.Google Scholar
  2. 2.
    Myatt, C.J., Burt, E.A., Ghirst, W., Cornell E.A., and Wieman, C.E. (1997) Phys. Rev. Lett. 78, 58ADSCrossRefGoogle Scholar
  3. 3.
    Hall, D.S., Matthews, M.R., Ensher, J.R., Wieman, C.E., Cornell, E.A. (1998) Phys. Rev. Lett. 81, 153ADSCrossRefGoogle Scholar
  4. 4.
    Hall, D.S., Matthews, M.R., Wieman, C.E., and Cornell, E.A. (1998) Phys. Rev. Lett. 81, 1543.ADSCrossRefGoogle Scholar
  5. 5.
    Cornell, E.A., Hall, D.S., Matthews, M.R., and Wieman, C.E. cond-mat/9808105.Google Scholar
  6. 6.
    Martin, J.L., McKenzie, C.R., Thomas, N.R., Sharpe, J.C., Warrington, D.M., Manson, P.J., Sandle, W.J., and Wilson, A.C. (1999) J. Phys. B 32, 3065.ADSCrossRefGoogle Scholar
  7. 7.
    Sinatra, A., Fedichev, P.O., Castin, Y., Dalibard, J., Shlyapnikov, G.V. (1998) Phys. Rev. Lett. 82, 25ADSCrossRefGoogle Scholar
  8. 8.
    Sinatra, A., and Castin, Y. (2000) Eur. Phys. J. D 8, 319.ADSCrossRefGoogle Scholar
  9. 9.
    Williams, J., Walser, R., Cooper, J., Cornell, E.A., and Holland, M. (2000) Phys. Rev. A 61, 033612.ADSCrossRefGoogle Scholar
  10. 10.
    Maddaloni, P., Modugno, M., Fort, C., Minardi, F., and Inguscio, M. (2000) Phys. Rev. Lett. 85, 241ADSCrossRefGoogle Scholar
  11. 11.
    Mewes, M.-O., Andrews, M.R., Kurn, D.M., Durfee, D.S., Towsend, C.G., and Ketterle, W. (1997) Phys. Rev. Lett. 78, 582.ADSCrossRefGoogle Scholar
  12. 12.
    Modugno, M., Dalfovo, F., Fort, C., Maddaloni, P., and Minardi, F. (2000) Phys. Rev. A 62, 063607.ADSCrossRefGoogle Scholar
  13. 13.
    Fort, C., Prevedelli, M., Minardi, F., Cataliotti, F.S., Ricci, L., Tino, G.M., and Inguscio, M. (2000) Europhys. Lett. 49, 1.ADSCrossRefGoogle Scholar
  14. 14.
    Minardi, F., Fort, C., Maddaloni, P., and Inguscio M. (2000) Bose-Einstein Condensates and Atom Lasers, edited by S. Martellucci, A.N. Chester, A. Aspect, and M. Inguscio, Kluwer Academic/Plenum Publishers, pag. 129.Google Scholar
  15. 15.
    Williams, C. private communication.Google Scholar
  16. 16.
    Castin, Y., and Dum, R. (1996) Phys. Rev. Lett. 77, 5315.ADSCrossRefGoogle Scholar
  17. 17.
    Stringari, S. (1996) Phys. Rev. Lett. 77, 2360.ADSCrossRefGoogle Scholar
  18. 18.
    Dalfovo, F., Giorgini, S., Pitaevskii, L.P., and Stringari, S. (1999) Rev. Mod. Phys. 71, 463.ADSCrossRefGoogle Scholar
  19. 19.
    Burke Jr., J.P., Band, Y.B., and Julienne, P.S. private communication.Google Scholar
  20. 20.
    Band, Y.B., Trippenbach, M., Burke Jr., J.P., Julienne, P.S. (2000) Phys. Rev. Lett 84, 5462.ADSCrossRefGoogle Scholar
  21. 21.
    Chikkatur, A.P., Görlitz, A., Stamper-Kurn, D.M., Inouye, S., Gupta, S., and Ketterle, W. (2000) Phys. Rev. Lett. 85, 483.ADSCrossRefGoogle Scholar
  22. 22.
    Trippenbach, M., Band, Y.B., and Julienne, P.S. (2000) Phys. Rev. A 62, 023608.ADSCrossRefGoogle Scholar
  23. 23.
    Motivated by our work, preliminary simulations, carried out by the NIST group in Gaithersbourg, show that including the elastic scattering greatly improves the comparison with the experimental damping, while the energy transfer in the axial direction is almost negligible: Burke, J., Band, Y., and Julienne, P. private comunication.Google Scholar
  24. 24.
    Matthews, M.R., Hall, D.S., Jin, D.S., Ensher, J.R., Wieman, C.E., and Cornell, E.A., Dalfovo, F., Minniti, C., and Stringari, S. (1998) Phys. Rev. Lett. 81, 243.ADSCrossRefGoogle Scholar
  25. 25.
    Dalfovo, F., and Modugno, M. (2000) Phys. Rev. A 61, 023605.ADSCrossRefGoogle Scholar
  26. 26.
    Mewes, M.-O., Andrews, M.R., van Druten, N.J., Kurn, D.M., Durfee, D.S., Towsend, C.G., and Ketterle, W. (1996) Phys. Rev. Lett. 77, 988.ADSCrossRefGoogle Scholar
  27. 27.
    Kagan, Yu., Surkov, E.L., and Shlyapnikov, G.V. (1997) Phys. Rev. A 55, R18.ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  1. 1.INFM — LENS — Dipartimento di FisicaUniversità di FirenzeFirenzeItaly
  2. 2.Dipartimento di Matematica e FisicaUniversità Cattolica, and INFM, Unità di BresciaBresciaItaly

Personalised recommendations