Mean-Field Transport of a Bose-Einstein Condensate

  • Samy Mailoud SekkouriEmail author
  • Sandro Wimberger
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 191)


The expansion of an initially confined Bose-Einstein condensate into either free space or a tilted optical lattice is investigated in a mean-field approach. The effect of the interactions is to enhance or suppress the transport depending on the sign and strength of the interactions. These effects are discusses in detail in view of recent experiments probing non-equilibrium transport of ultracold quantum gases.



We are very grateful for support by the FIL 2014 program of Parma University. Moreover, SW thanks the organizers of the NDES 2015 conference for their kind invitation and the wonderful meeting at Como.


  1. 1.
    Cornell, E.A., Wieman, C.E.: Rev. Mod. Phys. 74, 875 (2002); Ketterle, W.: Rev. Mod. Phys. 74, 1131 (2002)Google Scholar
  2. 2.
    Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., Sen, U.: Adv. Phys. 56, 243 (2007); Bloch, I., Dalibard, J., Zwerger, W.: Rev. Mod. Phys. 80, 885 (2008)Google Scholar
  3. 3.
    Grimm, R., Weidemüller, M., Ovchinnikov, Y.B.: Adv. At. Mol. Opt. Phys. 42, 95 (2000); Morsch, O., Oberthaler, M.: Rev. Mod. Phys. 78, 179 (2006)Google Scholar
  4. 4.
    Brantut, J.- P., Meineke, J., Stadler, D., Krinner, S., Esslinger, T.: Sci. 337, 1069 (2012); Krinner, S., Stadler, D., Husmann, D., Brantut, J.- P., Esslinger, T.: Nat. 517, 64 (2015); Husmann, D., Uchino, S., Krinner, S., Lebrat, M., Giamarchi, T., Esslinger, T., Brantut, J.- P.: Sci. 350, 1498 (2015)Google Scholar
  5. 5.
    Eckel, S., Lee, J.G., Jendrzejewski, F., Murray, N., Clark, C.W., Lobb, C.J., Phillips, W.D., Edwards, M., Campbell, G.K.: Nat. 506, 200 (2014)Google Scholar
  6. 6.
    Gutman, D.B., Gefen, Y., Mirlin, A.D.: Phys. Rev. B 85, 125102 (2012); Bruderer, M., Belzig, W., Phys. Rev. A 85, 013623 (2012); Nietner, C., Schaller, G., Brandes, T.: Phys. Rev. A 89, 013605 (2014); Marcos, F.G., Platero, G., Nietner, C., Schaller, G., Brandes, T.: Phys. Rev. A 94, 023622 (2016); Papoular, D.J., Pitaevskii, L.P., Stringari, S., Quantized conductance with bosonic atoms, preprint arXiv:1510.02618
  7. 7.
    Ivanov, A., Kordas, G., Komnik, A., Wimberger, S.: Eur. Phys. J. B 86, 345 (2013)Google Scholar
  8. 8.
    Morsch, O., Müller, J.H., Cristiani, M., Ciampini, D., Arimondo, E.: Phys. Rev. Lett. 87, 140402 (2001); Roati, G., de Mirandes, E., Ferlaino, F., Ott, H., Modugno, G., Inguscio, M.: Phys. Rev. Lett. 92, 230402 (2004); Ferrari, G., Poli, N., Sorrentino, F., Tino, G. M.: Phys. Rev. Lett. 97, 060402 (2006); Sias, C., Zenesini, A., Lignier, H., Wimberger, S., Ciampini, D., Morsch, O., Arimondo, E.: Phys. Rev. Lett. 98, 120403 (2007); Gustavsson, M., Haller, E., Mark, M.J., Danzl, J.G., Rojas-Kopeinig, G., Nägerl, H.-C.: Phys. Rev. Lett. 100, 080404 (2008); Zenesini, A., Sias, C., Lignier, H., Singh, Y., Ciampini, D., Morsch, O., Mannella, R., Arimondo, E., Tomadin, A., Wimberger, S.: New J. Phys. 10, 053038 (2008); Zenesini, A., Lignier, H., Tayebirad, G., Radogostowicz, J., Ciampini, D., Mannella, R., Wimberger, S., Morsch, O., Arimondo, E.: Phys. Rev. Lett. 103, 090403 (2009); Haller, E., Hart, R., Mark, M.J., Danzl, J.G., Reichsöllner, L., Nägerl, H.-C.: Phys. Rev. Lett. 104, 200403 (2010)Google Scholar
  9. 9.
    Wimberger, S., Mannella, R., Morsch, O., Arimondo, E., Kolovsky, A.R., Buchleitner, A.: Phys. Rev. A 72, 063610 (2005); Witthaut, D., Graefe, E.M., Wimberger, S., Korsch, H.J.: Phys. Rev. A 75, 013617 (2007); Rapedius, K., Elsen, C., Witthaut, D., Wimberger, S., Korsch, H.J.: Phys. Rev. A 82, 063601 (2010)Google Scholar
  10. 10.
    Paul, T., Richter, K., Schlagheck, P.: Phys. Rev. Lett. 94, 020404 (2005); Gattobigio, G.L., Couvert, A., Reinaudi, G., Georgeot, B., Guéry-Odelin, D.: Phys. Rev. Lett. 109, 030403 (2012)Google Scholar
  11. 11.
    Lucioni, E., Deissler, B., Tanzi, L., Roati, G., Zaccanti, M., Modugno, M., Larcher, M., Dalfovo, F., Inguscio, M., Modugno, G.: Phys. Rev. Lett. 106, 230403 (2011)Google Scholar
  12. 12.
    Lignier, H., Sias, C., Ciampini, D., Singh, Y., Zenesini, A., Morsch, O., Arimondo, E.: Phys. Rev. Lett. 99, 220403 (2007); Arimondo, E., Ciampinia, D., Eckardt, A., Holthaus, M., Morsch, O.: Adv. AMOP 61, 515 (2012); Salger, T., Kling, S., Denisov, S., Ponomarev, A.V., Hänggi, P., Weitz, M.: Phys. Rev. Lett. 110, 135302 (2013)Google Scholar
  13. 13.
    Leggett, A.J.: Rev. Mod. Phys. 73, 307 (2001)Google Scholar
  14. 14.
    Pethick, C.J., Smith, H.: Bose-Einstein Condensation in Dilute Gases. Cambridge University Press, Cambridge (2002); Pitaevskii, L., Stringari, S.: Bose-Einstein Condensation. Oxford University Press, Oxford (2003)Google Scholar
  15. 15.
    Cerboneschi, E., Mannella, R., Arimondo, E., Salasnich, L.: Phys. Lett. A 249, 495 (1998); Wimberger, S., Mannella, R., Morsch, O., Arimondo, E.: Phys. Rev. Lett. 94, 130404 (2005)Google Scholar
  16. 16.
    Holland, M.J., Cooper, J.: Phys. Rev. A 53, R1954 (1996); Holland, M.J., Jin, D.S., Chiofalo, M.L., Cooper, J.: Phys. Rev. Lett. 78, 3801 (1997); Adhikari. S.K.: J. Phys. B At. Mol. Opt. Phys. 36, 3951 (2003)Google Scholar
  17. 17.
    Kolovsky, A.R.: Phys. Rev. Lett. 90, 213002 (2003)Google Scholar
  18. 18.
    Micciché, S., Buchleitner, A., Lillo, F., Mantegna, R., Paul, T., Wimberger, S.: New J. Phys. 15, 033033 (2013)Google Scholar
  19. 19.
    Gustavsson, M., Haller, E., Mark, M.J., Danzl, J.G., Hart, R., Daley, A.J., Nägerl, H.-C.: New J. Phys. 12, 065029 (2010)Google Scholar
  20. 20.
    Labouvie, R., Santra, B., Heun, S., Wimberger, S., Ott, H.: Phys. Rev. Lett. 115, 050601 (2015)Google Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.DiFeSTUniversità degli Studi di ParmaParmaItaly
  2. 2.Gruppo Collegato di ParmaINFN, Sezione di Milano BicoccaParmaItaly

Personalised recommendations