Skip to main content
Log in

Formation of Vortex Lattices in Superfluid Bose Gases at Finite Temperatures

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

Abstract

We study the dynamics of a rotating trapped Bose–Einstein condensate (BEC) at finite temperatures. Using the Zaremba–Nikuni–Griffin formalism, based on a generalized Gross–Pitaevskii equation for the condensate coupled to a semiclassical kinetic equation for a thermal cloud, we numerically simulate vortex lattice formation in the presence of a time-dependent rotating trap potential. At low rotation frequency, the thermal cloud undergoes rigid body rotation, while the condensate exhibits irrotational flow. Above a certain threshold rotation frequency, vortices penetrate into the condensate and form a vortex lattice. Our simulation result clearly indicates a crucial role for the thermal cloud, which triggers vortex lattice formation in the rotating BEC.

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

Similar content being viewed by others

References

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

    Article  ADS  Google Scholar 

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

    Google Scholar 

  3. E. Hodby, G. Hechenblaikner, S.A. Hopkins, O.M. Maragò, C.J. Foot, Phys. Rev. Lett 88, 010405 (2002)

    Article  ADS  Google Scholar 

  4. M. Tsubota, K. Kasamatsu, M. Ueda, Phys. Rev. A 65, 023603 (2002)

    Article  ADS  Google Scholar 

  5. K. Kasamatsu, M. Machida, N. Sasa, M. Tsubota, Phys. Rev. A 71, 063616 (2005)

    Article  ADS  Google Scholar 

  6. A.A. Penckwitt, R.J. Ballagh, C.W. Gardiner, Phys. Rev. Lett 89, 260402 (2002)

    Article  ADS  Google Scholar 

  7. A. Griffin, T. Nikun, E. Zaremba, Bose-Condensed Gases at Finite Temperatures (University Press, Cambridge, 2009)

    Book  MATH  Google Scholar 

  8. P.C. Haljan, I. Coddington, P. Engels, E.A. Cornell, Phys. Rev. Lett. 87, 210403 (2001)

    Article  ADS  Google Scholar 

  9. D. Guéry-Odelin, Phys. Rev. A 62, 033607 (2000)

    Article  ADS  Google Scholar 

  10. E. Zaremba, T. Nikuni, A. Griffin, J. Low Temp. Phys. 116, 277 (2009)

    Article  ADS  Google Scholar 

  11. J.E. Williams, E. Zaremba, B. Jackson, T. Nikuni, A. Griffin, Phys. Rev. Lett. 88, 070401 (2002)

    Article  ADS  Google Scholar 

  12. B. Jackson, N.P. Proukakis, C.F. Barenghi, E. Zaremba, Phys. Rev. A 79, 053615 (2009)

    Article  ADS  Google Scholar 

  13. A.J. Allen, E. Zaremba, C.F. Barenghi, N.P. Proukakis, Phys. Rev. A 87, 013603 (2013)

    Article  Google Scholar 

  14. A.J. Allen, S. Zuccher, M. Caliari, N.P. Proukakis, N.G. Parker, C.F. Barenghi, Phys. Rev. A 90, 013601 (2014)

    Article  ADS  Google Scholar 

  15. B. Jackson, E. Zaremba, Phys. Rev. A 66, 033606 (2002)

    Article  ADS  Google Scholar 

  16. S. Giorgini, L.P. Pitaevskii, S. Stringari, J. Low Temp. Phys. 109, 309 (1997)

    Article  ADS  Google Scholar 

  17. T. Nikuni, Phys. Rev. A 65, 033611 (2002)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work was supported by Grants-in-Aid (No. 25887018 and No. 25400419) from the Japan Society for the Promotion of Science.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. Arahata.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Arahata, E., Nikuni, T. Formation of Vortex Lattices in Superfluid Bose Gases at Finite Temperatures. J Low Temp Phys 183, 191–198 (2016). https://doi.org/10.1007/s10909-016-1559-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-016-1559-z

Keywords

Navigation