Skip to main content
Log in

Vortex Dynamics of Rotating Dipolar Bose-Einstein Condensates in Synthetic Magnetic Field

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

In the framework of time-dependent two-dimensional Gross-Pitaevskii equation, we investigate the dynamics of vortex formation in rotating dipolar Bose-Einstein condensates in synthetic magnetic field (SMF) and compare with rotating frame (RF) method. The formation of vortices are calculated, considering effects of the rotational frequency, dipole strength, tilting angle and trap ratio. The results we found are that in SMF, the formation of steady state vortices is much slower than that in RF, and it is more difficult to add large angular momentum to the condensates than to do so in RF.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Griesmaier, A., Werner, J., Hensler, S., Stuhler, J., Pfau, T.: Phys. Rev. Lett. 94, 160401 (2005)

    Article  ADS  Google Scholar 

  2. Lahaye, T., Koch, T., Fröhlich, B., Fattori, M., Metz, J., Griesmaier, A., Giovanazzi, S., Pfau, T.: Nature 448, 672 (2007)

    Article  ADS  Google Scholar 

  3. Lu, M., Burdick, N.Q., Youn, S.H., Lev, B.L.: Phys. Rev. Lett. 107, 190401 (2011)

    Article  ADS  Google Scholar 

  4. Aikawa, K., Frisch, A., Mark, M., Baier, S., Rietzler, A., Grimm, R., Ferlaino, F.: Phys. Rev. Lett. 108, 210401 (2012)

    Article  ADS  Google Scholar 

  5. Baranov, M.A.: Phys. Rep. 464, 71 (2008)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. Tsubota, M., Kasamatsu, K., Kobayashi, M.: Quantized vortices in superfluid helium and atomic Bose-Einstein condensates. Oxford University Press, Oxford (2013)

    Book  Google Scholar 

  8. Matthews, M.R., Anderson, B.P., Haljan, P.C., Hall, D.S., Wieman, C.E., Cornell, E.A.: Phys. Rev. Lett. 83, 2498 (1999)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  10. Ji, A.C., Liu, W.M., Song, J.L., Zhou, F.: Phys. Rev. Lett. 101, 010402 (2008)

    Article  ADS  Google Scholar 

  11. Wen, L., Xiong, H.W., Wu, B.: Phys. Rev. A 82, 053627 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  14. Jezek, D.M., Cataldo, H.M.: Phys. Rev. A 83, 013629 (2011)

    Article  ADS  Google Scholar 

  15. Kasamatsu, K., Tsubota, M., Ueda, M.: Phys. Rev. A 71, 043611 (2005)

    Article  ADS  Google Scholar 

  16. Mueller, E.J., Ho, T.-L.: Phys. Rev. Lett. 88, 180403 (2002)

    Article  ADS  Google Scholar 

  17. Kasamatsu, K., Tsubota, M., Ueda, M.: Phys. Rev. Lett. 91, 150406 (2003)

    Article  ADS  Google Scholar 

  18. Simula, T.P., Huhtamäki, J.A.M., Takahashi, M., Mizushima, T., Machida, K.: J. Phys. Soc. Jpn. 80, 013001 (2011)

    Article  ADS  Google Scholar 

  19. Eto, Y., Saito, H., Hirano, T.: Phys. Rev. Lett. 112, 185301 (2014)

    Article  ADS  Google Scholar 

  20. Wilson, R.M., Ronen, S., Bohn, J.L.: Phys. Rev. A 79, 013621 (2009)

    Article  ADS  Google Scholar 

  21. Corson, J.P., Wilson, R.M., Bohn, J.L.: Phys. Rev. A 88, 013614 (2013)

    Article  ADS  Google Scholar 

  22. Baillie, D., Bisset, R.N., Blakie, P.B.: Phys. Rev. A 91, 013613 (2015)

    Article  ADS  Google Scholar 

  23. Wilson, R.M., Ronen, S., Bohn, J.L.: Phys. Rev. Lett. 104, 094501 (2010)

    Article  ADS  Google Scholar 

  24. Ticknor, C., Wilson, R.M., Bohn, J.L.: Phys. Rev. Lett. 106, 065301 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  27. Price, R.M., Trypogeorgos, D., Campbell, D.L., Putra, A., Valdés-Curiel, A., Spielman, I.B.: New. J. Phys. 18, 113009 (2016)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  30. Choi, S., Morgan, S.A., Burnett, K.: Phys. Rev. A 57, 4057 (1998)

    Article  ADS  Google Scholar 

  31. Bao, W.Z., Wang, H.Q.: J. Comput. Phys. 217, 612 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  32. Bao, W.Z., Cai, Y.Y., Wang, H.Q.: J. Comput. Phys. 229, 7874 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  33. Kasamatsu, K., Tsubota, M., Ueda, M.: Phys. Rev. A 67, 033610 (2003)

    Article  ADS  Google Scholar 

  34. Ni, K.K., Ospelkaus, S., de Miranda, M.H.G., Pe’er, A., Neyenhuis, B., Zirbel, J.J., Kotochigova, S., Julienne, P.S., Jin, D.S., Ye, J.: Science 322, 231 (2008)

    Article  ADS  Google Scholar 

  35. Mottl, R., Brennecke, F., Baumann, K., Landig, R., Donner, T., Esslinger, T.: Science 336, 1570 (2012)

    Article  ADS  Google Scholar 

  36. Macia, A., Hufnagl, D., Mazzanti, F., Boronat, J., Zillich, R.E.: Phys. Rev. Lett. 109, 235307 (2012)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

The authors would like to thank Professor Weizhu Bao and Yongyong Cai for kind support in numerical calculations. This work is supported by the Applied Basic Research programs of Tangshan (Grant No. 18130219a), the Innovation Fund (Grant No. X2017287) and Ph.D. Start-up Fund (Grant No. BS2017096) of North China University of Science and Technology.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qiang Zhao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhao, Q., Qiu, ZQ. & Zhang, Ll. Vortex Dynamics of Rotating Dipolar Bose-Einstein Condensates in Synthetic Magnetic Field. Int J Theor Phys 57, 3658–3667 (2018). https://doi.org/10.1007/s10773-018-3879-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-018-3879-z

Keywords

Navigation