Skip to main content
SpringerLink
Log in

Effects of Dipole–Dipole Interaction on Vortex Motion in Bose–Einstein Condensates

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

In this paper, we study the dynamics of a single vortex and a corotating vortex pair in a quasi-two-dimensional Bose–Einstein condensate. The numerical results are obtained by solving the Gross–Pitaevskii equation. It is shown that the vortex motion is strongly dependent on the dipole–dipole interaction (DDI). For a single vortex, the periodic motion occurs with increasing dipole strength. The x-coordinate and y-coordinate as a function of time close to the shape of cosine wave and triangular wave when DDI is an isotropic repulsive interaction, respectively. In addition, it is evident that strong and anisotropic DDI makes the movement of vortex become fast and the amplitude enlarges. In the case of a corotating vortex pair, the dynamics is qualitatively consistent with a single vortex for weak dipole strength. Moreover, the periodic dynamics only appears for strong and anisotropic DDI and more rapid vortex motion is indicated.

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
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. L. Onsager, Nuovo Cimento. 6, 249, supp 2 (1949)

  2. R.P. Feynman, 1955 Prog. Low Temp. Phys. 1, 17 (1955)

    Article  Google Scholar 

  3. A. A. Abrikosov, Zh. Eksp. Teor. Fiz. 32, 1442 (1957); [Eng. Transla. Sov. Phys.-JETP 5: 1174 (1957)]

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

    Article  ADS  Google Scholar 

  5. C. Raman, J.R. Abo-Shaeer, J.M. Vogels, K. Xu, W. Ketterle, Phys. Rev. Lett. 87, 210402 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. Y.J. Lin, R.L. Compton, A.R. Perry, W.D. Phillips, J.V. Porto, I.B. Spielman, Phys. Rev. Lett. 102, 130401 (2009)

    Article  ADS  Google Scholar 

  8. Y.J. Lin, R.L. Compton, K. Jiménez-García, J.V. Porto, I.B. Spielman, Nature 462, 628 (2009)

    Article  ADS  Google Scholar 

  9. A.E. Leanhardt, A. Görlitz, A.P. Chikkatur, D. Kielpinski, Y. Shin, D.E. Pritchard, W. Ketterle, Phys. Rev. Lett. 89, 190403 (2002)

    Article  ADS  Google Scholar 

  10. A.L. Fetter, Rev. Mod. Phys. 81, 647 (2009)

    Article  ADS  Google Scholar 

  11. M. Tsubota, K. Kasamatsu, M. Kobayashi, Quantized Vortices in Superfluid Helium and Atomic Bose-Einstein Condensates (Oxford University Press, Oxford, 2013)

    Book  Google Scholar 

  12. T. Lahaye, C. Menotti, L. Santos, M. Lewenstein, T. Pfau, Rep. Prog. Phys. 72, 126401 (2009)

    Article  ADS  Google Scholar 

  13. M.A. Baranov, M. Dalmonte, G. Pupillo, P. Zoller, Chem. Rev. 112, 5012 (2012)

    Article  Google Scholar 

  14. S. Yi, H. Pu, Phys. Rev. A 73, 061602(R) (2006)

    Article  ADS  Google Scholar 

  15. N.R. Cooper, E.H. Rezayi, S.H. Simon, Phys. Rev. Lett. 95, 200402 (2005)

    Article  ADS  Google Scholar 

  16. J. Zhang, H. Zhai, Phys. Rev. Lett. 95, 200403 (2005)

    Article  ADS  Google Scholar 

  17. B. Dong, Q. Sun, W.M. Liu, A.C. Ji, X.F. Zhang, S.G. Zhang, Phys. Rev. A 96, 013619 (2017)

    Article  ADS  Google Scholar 

  18. L.J. Jia, A.B. Wang, S. Yi, Phys. Rev. A 97, 043614 (2018)

    Article  ADS  Google Scholar 

  19. R. Navarro, R. Carretero-González, P.J. Torres, P.G. Kevrekidis, D.J. Frantzeskakis, M.W. Ray, E. Altuntas, D.S. Hall, Phys. Rev. Lett. 110, 225301 (2013)

    Article  ADS  Google Scholar 

  20. D.V. Freilich, D.M. Bianchi, A.M. Kaufman, T.K. Langin, D.S. Hall, Science 329, 1182 (2010)

    Article  ADS  Google Scholar 

  21. S. Gautam, A. Roy, S. Mukerjee, Phys. Rev. A 89, 013612 (2014)

    Article  ADS  Google Scholar 

  22. S. Gautam, J. Phys. B 47, 165301 (2014)

    Article  ADS  Google Scholar 

  23. E.P. Gross, Nuovo Cimento 20, 454 (1961)

    Article  Google Scholar 

  24. Y.Y. Cai, Y.J. Yuan, M. Rosenkranz, H. Pu, W.Z. Bao, Phys. Rev. A 98, 023610 (2018)

    Article  ADS  Google Scholar 

  25. Q. Zhao, Q. Gu, Chin. Phys. B 25, 016702 (2016)

    Article  Google Scholar 

  26. K. Góral, K. Rza̧żewski, T. Pfau, Phys. Rev. A 61, 051601(R) (2000)

  27. Y.Y. Cai, M. Rosenkranz, Z. Lei, W.Z. Bao, Phys. Rev. A 82, 043623 (2010)

    Article  ADS  Google Scholar 

  28. W.Z. Bao, I.L. Chern, F.Y. Lim, J. Comput. Phys. 219, 836 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  29. W.Z. Bao, D. Jaksch, P.A. Markowich, J. Comput. Phys. 187, 318 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  30. http://www.fftw.org

  31. B. Gertjerenken, P.G. Kevrekidis, R. Carretero-González, B.P. Anderson, Phys. Rev. A 93, 023604 (2016)

    Article  ADS  Google Scholar 

  32. B.C. Mulkerin, R.M.W. van Bijnen, D.H.J. O’Dell, A.M. Martin, N.G. Parker, Phys. Rev. Lett. 111, 170402 (2013)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This work is supported by the Ph.D. Start-up Fund (Grant No. BS2017096) of North China University of Science and Technology.

Author information

Authors and Affiliations

  1. Department of Applied Physics, School of Science, North China University of Science and Technology, Tangshan, 063210, China

    Qiang Zhao

Authors
  1. Qiang Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Qiang Zhao.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhao, Q. Effects of Dipole–Dipole Interaction on Vortex Motion in Bose–Einstein Condensates. J Low Temp Phys 204, 1–11 (2021). https://doi.org/10.1007/s10909-021-02594-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-021-02594-8

Keywords

Search

Navigation