The European Physical Journal B

, Volume 68, Issue 3, pp 467–477 | Cite as

Density, phase and coherence properties of a low dimensional Bose-Einstein systems moving in a disordered potential

  • C. Joshi
  • Sankalpa GhoshEmail author


We present a detailed numerical study of the dynamics of a disordered one-dimensional Bose-Einstein condensates in position and momentum space. We particularly focus on the region where non-linearity and disorder simultaneously effect the time propagation of the condensate as well as the possible interference between various parts of the matter wave. We report oscillation between spatially extended and localized behavior for the propagating condensate which dies down with increasing non-linearity. We also report intriguing behavior of the phase fluctuation and the coherence properties of the matter wave. We also briefly compare these behavior with that of a two-dimensional condensate. We mention the relevance of our results to the related experiments on Anderson localization and indicate the possibility of future experiments


03.75 -b Matter waves 37.10.Jk Atoms in optical lattices 05.60.-k Transport processes 


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  1. J.E. Lye, L. Fallani, M. Modugno, D. Wiersma, C. Fort, M. Inguscio, Phys. Rev. Lett. 95, 070401 (2005)Google Scholar
  2. C. Fort, L. Fallani, V. Guarrera, J. Lye, M. Modugno, D.S. Wiersma, M. Inguscio, Phys. Rev. Lett. 95, 170410 (2005)Google Scholar
  3. D. Clément, A.F. Varón, M. Hugbart, J. Retter, P. Bouyer, L. Sanchez-Palencia, D.M. Gangardt, G.V. Shlyapnikov, A. Aspect, Phys. Rev. Lett. 95, 170409 (2005)Google Scholar
  4. T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, M. Lewenstein, Phys. Rev. Lett. 95, 170411 (2005)Google Scholar
  5. U. Gavish, Y. Castin, Phys. Rev. Lett. 95, 020401 (2005)Google Scholar
  6. M. Modugno, Phys. Rev. A 73, 013606 (2006)Google Scholar
  7. L.S. Palentia, Phys. Rev. A 74, 053625 (2006)Google Scholar
  8. L. Sanchez-Palentia, D. Clément, P. Lugan, P. Bouyer, G.V. Shlyapnikov, A. Aspect, Phys. Rev. Lett. 98, 210401 (2008)Google Scholar
  9. B. Shapiro, Phys. Rev. Lett. 99, 060602 (2007)Google Scholar
  10. E. Akkermans, S. Ghosh, Z.H. Musslimani, J. Phys. B: At. Mol. Opt. Phys. 41, 045302 (2008)Google Scholar
  11. P.W. Anderson, Phys. Rev. 109, 1492 (1958)Google Scholar
  12. E. Abrahams, P.W. Anderson, D.C. Licciardello, T.V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979)Google Scholar
  13. J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clent, L. Sanchez-Palencia, P. Bouyer, A. Aspect, Nature 453, 891 (2008)Google Scholar
  14. G. Roati, C. D’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, M. Inguscio, Nature 453, 895 (2008)Google Scholar
  15. L. Sanchez-Palencia, D. Clent, P. Lugan, P. Bouyer, A. Aspect, New J. Phys. 10, 045019 (2007)Google Scholar
  16. L. Fallani, C. Fort, M. Inguscio, e-print arXiv:cond-mat/0804.2888 Google Scholar
  17. D.S. Petrov, G.V. Shlyapnikov, J.T.M. Walraven, Phys. Rev. Lett. 85, 3745 (2000); D.M. Petrov, D.M. Gangardt, G.V. Shlyapnikov, J. Phys. IV France 116, 5 (2004)Google Scholar
  18. M. Olshanii, Phys. Rev. Lett. 81, 938 (1998)Google Scholar
  19. J.M. Huntley, Appl. Opt. 28, 4316 (1989)Google Scholar
  20. A.S. Pikovsky, D.L. Shepelyansky, Phys. Rev. Lett. 100, 094101 (2008); A. Iomin, S. Fishman, Phys. Rev. E 76, 056607 (2008); Y. Lahini et al., Phys. Rev. Lett. 100, 013906 (2008); S. Flach, D. Krimer, Ch. Skokos, Phys. Rev. Lett. 102, 024101 (2009)Google Scholar
  21. L. Pitaevskii, S. Stringari, Bose-Einstein condensation (Oxford, 2003)Google Scholar
  22. W. Bao, D. Jaksch, P.A. Markowich, J. Comput. Phys. 187, 318 (2003)Google Scholar
  23. Y. Castin, R. Dum, Phys. Rev. Lett. 77, 5315 (1996); Yu. Kagan, E.L. Surkov, G.V. Shlyapnikov, Phys. Rev. A 54, R1753 (1996)Google Scholar
  24. A. Trombettoni, A. Smerzi, Phys. Rev. Lett. 86, 2353 (2001)Google Scholar
  25. F. Nesi, M. Modugno, J. Phys. B: At. Mol. Opt. Phys. 37, s101 (2004)Google Scholar
  26. T. Paul et al., Phys. Rev. Lett. 100, 210602 (1998)Google Scholar

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© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Department of PhysicsIndian Institute of TechnologyNew DelhiIndia

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