Skip to main content
Log in

Effect of non-local interactions on the vortex solution in Bose-Einstein Condensates

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

We consider the Gross-Pitaevskii (GP) model of a Bose-Einstein Condensate (BEC) to study a single vortex line in the presence of non-local repulsive s-wave scattering. We show that in addition to the vortex solution with core width of the order of the healing length, there exists a vortex solution whose width is a microscopic length scale of the order of s-wave scattering length and is independent of the healing length. We compare the two classes of vortex solution and show the region where one can possibly observe the vortex whose width is of the order of scattering length.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. Pitaevskii, S. Stringari, Bose-Einstein condensation (Clarendon Press, Oxford, UK, 2003)

  2. C. Pethick, H. Smith, Bose-Einstein condensation in dilute gases (Cambridge University Press, Cambridge, UK, 2001)

  3. N.R. Cooper, N.K. Wilkin, J. Gunn, Phys. Rev. Lett. 87, 120405 (2001)

    Article  ADS  Google Scholar 

  4. A. Rozhkov, D. Stroud, Phys. Rev. B 54, R12697 (1996)

    Article  ADS  Google Scholar 

  5. H. Fu, Y. Wang, B. Gao, Phys. Rev. A 67, 053612 (2003)

    Article  ADS  Google Scholar 

  6. A. Collin, P. Massignan, C. Pethick, Phys. Rev. A 75, 013615 (2007)

    Article  ADS  Google Scholar 

  7. S. Viefers, J. Phys.: Condens. Matter 20, 123202 (2008)

    ADS  Google Scholar 

  8. N. Regnault, T. Jolicoeur, Phys. Rev. Lett. 91, 030402 (2003)

    Article  ADS  Google Scholar 

  9. M. Roncaglia, M. Rizzi, J. Dalibard, Sci. Rep. 1, 43 (2011)

    Article  ADS  Google Scholar 

  10. P. Nikolić, Phys. Rev. A 90, 023623 (2014)

    Article  ADS  Google Scholar 

  11. N. Rougerie, S. Serfaty, J. Yngvason, Phys. Rev. A 87, 023618 (2013)

    Article  ADS  Google Scholar 

  12. S. Furukawa, M. Ueda, Phys. Rev. A 86, 031604 (2012)

    Article  ADS  Google Scholar 

  13. K. Madison, F. Chevy, W. Wohlleben, J. Dalibard, Phys. Rev. Lett. 84, 806 (2000)

    Article  ADS  Google Scholar 

  14. J. Abo-Shaeer, C. Raman, J. Vogels, W. Ketterle, Science 292, 476 (2001)

    Article  ADS  Google Scholar 

  15. H. Veksler, S. Fishman, W. Ketterle, Phys. Rev. A 90, 023620 (2014)

    Article  ADS  Google Scholar 

  16. A. Pendse, arXiv:1512.00152 (2015)

  17. J.J. Sakurai, J. Napolitano, Modern quantum mechanics (Addison-Wesley, Boston, USA, 2011)

  18. E. Kozik, B. Svistunov, J. Low Temp. Phys. 156, 215 (2009)

    Article  ADS  Google Scholar 

  19. B. Damski, W.H. Zurek, Phys. Rev. Lett. 104, 160404 (2010)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Abhijit Pendse.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pendse, A., Bhattacharyay, A. Effect of non-local interactions on the vortex solution in Bose-Einstein Condensates. Eur. Phys. J. B 90, 244 (2017). https://doi.org/10.1140/epjb/e2017-80213-6

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2017-80213-6

Keywords

Navigation