Skip to main content
Log in

Inertial and Fluctuational Effects on the Motion of a Bose Superfluid Vortex

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

Abstract

We study the motion of a vortex under the influence of a harmonic force in an approximately two dimensional trapped Bose-condensed gas. The Hall-Vinen-Iordanskii equations, modified to include a fluctuational force and an inertial mass term, are solved for the vortex motion. The mass of the vortex has a strong influence on the time it takes the vortex to escape the trap. Since the vortex mass also depends on the trap size we have an additional dependence on the trap size in the escape time which we compare to the massless case.

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. G. Blatter, M.V. Feigel’man, V.B. Geshkenbein, A.I. Larkin, V.M. Vinokur, Rev. Mod. Phys. 66, 1125 (1994)

    Article  ADS  Google Scholar 

  2. R.J. Donnelly, Quantized Vortices in Hellium II (Cambridge University Press, Cambridge, 1991)

    Google Scholar 

  3. A.L. Fetter, A.A. Svidzinsky, J. Phys. Condens. Matter 13, R135 (2001)

    Article  ADS  Google Scholar 

  4. A. Vilenkin, A.P.S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge University Press, Cambridge, 2000)

    Google Scholar 

  5. H.E. Hall, W.F. Vinen, Proc. R. Soc. A 238, 204 (1956)

    Article  ADS  Google Scholar 

  6. S.V. Iordanskii, Ann. Phys. (N.Y.) 29, 335 (1964)

    Article  ADS  Google Scholar 

  7. D.J. Thouless, P. Ao, Q. Niu, Phys. Rev. Lett. 76, 3758 (1996)

    Article  ADS  Google Scholar 

  8. E.B. Sonin, Phys. Rev. B 55, 485 (1997)

    Article  ADS  Google Scholar 

  9. D.J. Thouless, J.R. Anglin, Phys. Rev. Lett. 99, 105301 (2007)

    Article  ADS  Google Scholar 

  10. L. Thompson, P.C.E. Stamp, Phys. Rev. Lett. 108, 184501 (2012)

    Article  ADS  Google Scholar 

  11. L. Thompson, P.C.E. Stamp, Phys. Rev. Lett. 37, 341 (1973)

    Google Scholar 

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

    Article  ADS  Google Scholar 

  13. B.P. Anderson, P.C. Haljan, C.E. Weiman, E.A. Cornell, Phys. Rev. Lett. 85, 2857 (2000)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  16. Z. Hadzibabic, P. Krüger, M. Cheneau, B. Battelier, J. Dalibard, Nature 441, 1118 (2006)

    Article  ADS  Google Scholar 

  17. D.S. Rokhsar, Phys. Rev. Lett. 79, 2164 (1997)

    Article  ADS  Google Scholar 

  18. B. Jackson, J.F. McCann, C.S. Adams, Phys. Rev. A 61, 013604 (1999)

    Article  ADS  Google Scholar 

  19. A.A. Svidzinsky, A.L. Fetter, Phys. Rev. Lett. 84, 5919 (2000)

    Article  ADS  Google Scholar 

  20. P.O. Fedichev, G.V. Shlyaponikov, Phys. Rev. A 60, R1773 (1999)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  22. R.A. Duine, B.W.A. Leurs, H.T.C. Stoof, Phys. Rev. A 69, 053623 (2004)

    Article  ADS  Google Scholar 

  23. V.N. Popov, Sov. Phys. JETP 37, 341 (1973)

    ADS  Google Scholar 

  24. J.M. Duan, Phys. Rev. B 49, 12381 (1994)

    Article  ADS  Google Scholar 

  25. B.P. Anderson, paper in this journal issue

Download references

Acknowledgements

This work was supported by NSERC, by CIFAR, and by PITP.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. Cox.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cox, T., Stamp, P.C.E. Inertial and Fluctuational Effects on the Motion of a Bose Superfluid Vortex. J Low Temp Phys 171, 459–465 (2013). https://doi.org/10.1007/s10909-012-0731-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-012-0731-3

Keywords

Navigation