Skip to main content
SpringerLink
Log in

Diffusive expansion of a dipolar Bose–Einstein condensate in three-dimensional disorder potentials

  • Regular Article - Solid State and Materials
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

We study the effects of dipole–dipole interactions on the diffusion of an expanding atomic Bose–Einstein condensate with tunable s-wave interactions in three-dimensional disorder potentials. First-order correction due to local and nonlocal nonlinearities to the average atomic density is analytically calculated in the long expanding time limit using a perturbative theory. It is found that the diffusion coefficient exhibits a stronger anisotropy dependence due to the dipolar interactions. We show that the intriguing interplay of dipolar and nondipolar interactions and disorder potential may affect the diffusive expansion.

Graphical Abstract

Profiles of the dynamics of the average atomic density of attractive DDI from Eq .(19) for different values of \(\epsilon _{dd}\) and \(p=0.08\). Black lines: \(\epsilon _{dd}=0\). Red lines: \(\epsilon _{dd}=0.16\). Blue lines: \(\epsilon _{dd}=0.4\). Green lines: \(\epsilon _{dd}=0.8\)

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1

Similar content being viewed by others

Data Availability

The data generated and/or analyzed during the current study are not publicly available for legal/ethical reasons but are available from the corresponding author on reasonable request.

References

  1. A. Aspect, M. Inguscio, Phys. Today 62, 30 (2009)

    Article  Google Scholar 

  2. G. Modugno, Rep. Prog. Phys. 73, 102401 (2010)

    Article  ADS  Google Scholar 

  3. M. Bretz, Phys. Rev. Lett. 31, 1447 (1973)

    Article  ADS  Google Scholar 

  4. P.A. Crowell, F.W. Van Keuls, J.D. Reppy, Phys. Rev. Lett. 75, 1106 (1995)

    Article  ADS  Google Scholar 

  5. A.A. Abrikosov, L.P. Gorkov, Sov. Phys. JETP 8, 1090 (1958)

    Google Scholar 

  6. A.A. Abrikosov, L.P. Gorkov, Sov. Phys. JETP 9, 220 (1959)

    Google Scholar 

  7. P.A. Lee, T.V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985)

    Article  ADS  Google Scholar 

  8. D. Belitz, T.R. Kirkpatrick, Rev. Mod. Phys. 66, 261 (1994)

    Article  ADS  Google Scholar 

  9. L. Fallani, J.E. Lye, V. Guarrera, C. Fort, M. Inguscio, Phys. Rev. Lett. 98, 130404 (2007)

    Article  ADS  Google Scholar 

  10. M. White, M. Pasienski, D. McKay, S.Q. Zhou, D. Ceperley, B. DeMarco, Phys. Rev. Lett. 102, 055301 (2009)

    Article  ADS  Google Scholar 

  11. M. Pasienski, D. McKay, M. White, B. DeMarco, Nat. Phys. 6, 677 (2010)

    Article  Google Scholar 

  12. B. Deissler, M. Zaccanti, G. Roati, C. D’Errico, M. Fattori, M. Modugno, G. Modugno, M. Inguscio, Nat. Phys. 6, 354 (2010)

    Article  Google Scholar 

  13. P.W. Anderson, Phys. Rev. 109, 1492 (1958)

    Article  ADS  Google Scholar 

  14. J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, A. Aspect, Nature (London) 453, 891 (2008)

    Article  ADS  Google Scholar 

  15. G. Roati, C. D’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, M. Inguscio, Nature (London) 453, 895 (2008)

    Article  ADS  Google Scholar 

  16. A.E. Anderson, P.W. Licciardello, D.C. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979)

    Article  ADS  Google Scholar 

  17. G. Semeghini, M. Landini, P. Castilho, S. Roy, G. Spagnolli, A. Trenkwalder, M. Fattori, M. Inguscio, G. Modugno, Nat. Phys. 11, 554 (2015)

    Article  Google Scholar 

  18. A. Yedjour, A.B. Van Tiggelen, Eur. Phys. J. D 59, 249 (2010)

    Article  ADS  Google Scholar 

  19. D. Delande, G. Orso, Phys. Rev. Lett. 113, 060601 (2014)

    Article  ADS  Google Scholar 

  20. B. Shapiro, Phys. Rev. Lett. 99, 060602 (2007)

    Article  ADS  Google Scholar 

  21. S.E. Skipetrov, A. Minguzzi, B.A. van Tiggelen, B. Shapiro, Phys. Rev. Lett. 100, 165301 (2008)

    Article  ADS  Google Scholar 

  22. C. Miniatura, R.C. Kuhn, D. Delande, C.A. Müller, Eur. Phys. J. B 68, 353 (2009)

    Article  ADS  Google Scholar 

  23. R.C. Kuhn, O. Sigwarth, C. Miniatura, D. Delande, C.A. Müller, New. J. Phys. 9, 161 (2007)

    Article  ADS  Google Scholar 

  24. M. Piraud, L. Pezzé, L. Sanchez-Palencia, New. J. Phys. 15, 075007 (2013)

    Article  ADS  Google Scholar 

  25. A. Yedjour, H. Benmahdjoub, A. Boudjemâa, Phys. Scr. 97, 025401 (2022)

    Article  ADS  Google Scholar 

  26. A. Yadjour, A. Boudjemâa, Phys. B. 654, 414683 (2023)

    Article  Google Scholar 

  27. A. Yadjour, A. Boudjemâa, Phys. Scr. 98, 045404 (2023)

    Article  ADS  Google Scholar 

  28. N. Cherroret, S.E. Skipetrov, Phys. Rev. A 79, 063604 (2009)

    Article  ADS  Google Scholar 

  29. B. Min, T. Li, M. Rosenkranz, W. Bao, Phys. Rev. A 86, 053612 (2012)

    Article  ADS  Google Scholar 

  30. A.S. Pikovsky, D.L. Shepelyansky, Phys. Rev. Lett. 100, 094101 (2008)

    Article  ADS  Google Scholar 

  31. S. Flach, D.O. Krimer, Ch. Skokos, Phys. Rev. Lett. 102, 024101 (2009)

  32. See for review: T. Lahaye et al., Rep. Prog. Phys. 72, 126401 (2009)

  33. See for review: L.D. Carr, D. DeMille, R.V. Krems, J. Ye, New. J. Phys 11, 055049 (2009)

  34. See for review: M. A. Baranov, Physics Reports 464, 71 (2008)

  35. See for review: M.A. Baranov, M. Delmonte, G. Pupillo, P. Zoller, Chemical Reviews, 112, 5012 (2012)

  36. L. Chomaz, I. Ferrier-Barbut, F. Ferlaino, B. Laburthe-Tolra, B.L. Lev, T. Pfau, Rep. Prog. Phys. 86, 026401 (2022)

    Article  ADS  Google Scholar 

  37. B.M. Fregoso et al., New J. Phys. 11, 103003 (2009)

    Article  ADS  Google Scholar 

  38. J. Quintanilla, S.T. Carr, J.J. Betouras, Phys. Rev. A 79, 031601 (2009)

    Article  ADS  Google Scholar 

  39. See for review: Z.-H. Luo, W. Pang, B. Liu, Y.-Y. Li, B.A. Malomed, Frontiers of Physics 16, 32201 (2021)

  40. See for review: F. Boëttcher, J.-N. Schmidt, J. Hertkorn, K. Ng, Graham, M. Guo, T. Langen, T. Pfau, Rep. Progress Phys. 84, 012403 (2021)

  41. See for review: M. Guo, T. Pfau, Frontiers of Physics 16, 32202 (2021)

  42. C. Krumnow, A. Pelster, Phys. Rev. A 84, 021608(R) (2011)

    Article  ADS  Google Scholar 

  43. B. Nikolic, A. Balaz, A. Pelster, Phys. Rev. A 88, 013624 (2013)

    Article  ADS  Google Scholar 

  44. M. Ghabour, A. Pelster, Phys. Rev. A 90, 063636 (2014)

    Article  ADS  Google Scholar 

  45. A. Boudjemâa, Phys. Rev. A 91, 053619 (2015)

    Article  ADS  Google Scholar 

  46. A. Boudjemâa, Low Temp. Phys. 180, 377 (2015)

    Article  ADS  Google Scholar 

  47. A. Boudjemâa, Phys. Lett. A 379, 2484 (2015)

    Article  ADS  Google Scholar 

  48. A. Boudjemâa, J. Phys. B: At. Mol. Opt. Phys. 49, 105301 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  49. K. Redaouia, A. Boudjemâa, Eur. Phys. J. D 73, 115 (2019)

    Article  ADS  Google Scholar 

  50. A. Boudjemâa, Phys. Lett. A 424, 127867 (2022)

    Article  MathSciNet  Google Scholar 

  51. A. Boudjemâa, Eur. Phys. J. B 92, 145 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  52. Yu. Kagan, E.L. Surkov, G.V. Shlyapnikov, Phys. Rev. A 54, R1753 (1996)

    Article  ADS  Google Scholar 

  53. Yu. Kagan, E.L. Surkov, G.V. Shlyapnikov, Y. Castin, R. Dum, Phys. Rev. Lett. 77, 5315 (1996)

    Article  Google Scholar 

  54. E. Akkermans, G. Montambaux, Mesoscopic Physics of Electrons and Photons (Cambridge University Press, 2007)

  55. L. Sanchez-Palencia, D. Clément, P. Lugan, P. Bouyer, G.V. Shlyapnikov, A. Aspect, Phys. Rev. Lett. 98, 210401 (2007)

    Article  ADS  Google Scholar 

  56. V.M. Agranovich, V.E. Kravtsov, Phys. Rev. B 43, 13691 (1991)

    Article  ADS  Google Scholar 

  57. M. Lu et al., Phys. Rev. Lett. 107, 190401 (2011)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Sciences and Technology, Ahmed Zabana University of Relizane, Bourmadia, P.O. Box 48000, Relizane, Algeria

    Zohra Mehri

  2. Laboratory of Mechanics and Energy, Department of Physics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, P.O. Box 78, 02000, Chlef, Algeria

    Abdelaali Boudjemaa

Authors
  1. Zohra Mehri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Abdelaali Boudjemaa
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

All authors conceived the work, discussed the results, wrote and commented on the manuscript at all stages.

Corresponding author

Correspondence to Abdelaali Boudjemaa.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mehri, Z., Boudjemaa, A. Diffusive expansion of a dipolar Bose–Einstein condensate in three-dimensional disorder potentials. Eur. Phys. J. B 97, 39 (2024). https://doi.org/10.1140/epjb/s10051-024-00672-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/s10051-024-00672-w

Search

Navigation