Skip to main content
Log in

Stabilization and Pumping of Giant Vortices in Dilute Bose–Einstein Condensates

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

Abstract

Recently, it was shown that giant vortices with arbitrarily large quantum numbers can possibly created in dilute Bose–Einstein condensates by cyclically pumping vorticity into the condensate. However, multiply quantized vortices are typically dynamically unstable in harmonically trapped nonrotated condensates, which poses a serious challenge to the vortex pump procedure. In this theoretical study, we investigate how the giant vortices can be stabilized by the application of a Gaussian potential peak along the vortex core. We find that achieving dynamical stability is feasible up to high quantum numbers. To demonstrate the efficiency of the stabilization method, we simulate the adiabatic creation of an unsplit 20-quantum vortex with the vortex pump.

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. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995)

    Article  ADS  Google Scholar 

  2. C.C. Bradley, C.A. Sackett, J.J. Tollett, R.G. Hulet, Phys. Rev. Lett. 75, 1687 (1995)

    Article  ADS  Google Scholar 

  3. C.C. Bradley, C.A. Sackett, J.J. Tollett, R.G. Hulet, Phys. Rev. Lett. 79, 1170 (1997)

    Article  ADS  Google Scholar 

  4. K.B. Davis, M.O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. K.W. Madison, F. Chevy, W. Wohlleben, J. Dalibard, J. Mod. Opt. 47, 2715 (2000)

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  11. R.J. Dodd, K. Burnett, M. Edwards, C. Clark, Phys. Rev. A 56, 587 (1997)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  13. H. Pu, C.K. Law, J.H. Eberly, N.P. Bigelow, Phys. Rev. A 59, 1533 (1999)

    Article  ADS  Google Scholar 

  14. T. Isoshima, K. Machida, Phys. Rev. A 60, 3313 (1999)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  16. S.M.M. Virtanen, T.P. Simula, M.M. Salomaa, Phys. Rev. Lett. 86, 2704 (2001)

    Article  ADS  Google Scholar 

  17. T.P. Simula, S.M.M. Virtanen, M.M. Salomaa, Phys. Rev. A 65, 033614 (2002)

    Article  ADS  Google Scholar 

  18. Y. Kawaguchi, T. Ohmi, Phys. Rev. A 70, 043610 (2004)

    Article  ADS  Google Scholar 

  19. A.D. Jackson, G.M. Kavoulakis, E. Lundh, Phys. Rev. A 72, 053617 (2005)

    Article  ADS  Google Scholar 

  20. J.A.M. Huhtamäki, M. Möttönen, S.M.M. Virtanen, Phys. Rev. A 74, 063619 (2006)

    Article  ADS  Google Scholar 

  21. E. Lundh, H.M. Nilsen, Phys. Rev. A 74, 063620 (2006)

    Article  ADS  Google Scholar 

  22. P. Capuzzi, D.M. Jezek, J. Phys. B, At. Mol. Opt. Phys. 42, 145301 (2009)

    Article  ADS  Google Scholar 

  23. P. Kuopanportti, E. Lundh, J.A.M. Huhtamäki, V. Pietilä, M. Möttönen, Phys. Rev. A 81, 023603 (2010)

    Article  ADS  Google Scholar 

  24. M. Möttönen, T. Mizushima, T. Isoshima, M.M. Salomaa, K. Machida, Phys. Rev. A 68, 023611 (2003)

    Article  ADS  Google Scholar 

  25. Y. Shin, M. Saba, M. Vengalattore, T.A. Pasquini, C. Sanner, A.E. Leanhardt, M. Prentiss, D.E. Pritchard, W. Ketterle, Phys. Rev. Lett. 93, 160406 (2004)

    Article  ADS  Google Scholar 

  26. J.A.M. Huhtamäki, M. Möttönen, T. Isoshima, V. Pietilä, S.M.M. Virtanen, Phys. Rev. Lett. 97, 110406 (2006)

    Article  ADS  Google Scholar 

  27. A.M. Mateo, V. Delgado, Phys. Rev. Lett. 97, 180409 (2006)

    Article  ADS  Google Scholar 

  28. T. Isoshima, M. Okano, H. Yasuda, K. Kasa, J.A.M. Huhtamäki, M. Kumakura, Y. Takahashi, Phys. Rev. Lett. 99, 200403 (2007)

    Article  ADS  Google Scholar 

  29. M. Takahashi, V. Pietilä, M. Möttönen, T. Mizushima, K. Machida, Phys. Rev. A 79, 023618 (2009)

    Article  ADS  Google Scholar 

  30. P. Kuopanportti, M. Möttönen, Phys. Rev. A 81, 033627 (2010)

    Article  ADS  Google Scholar 

  31. T. Kuwamoto, H. Usuda, S. Tojo, T. Hirano, J. Phys. Soc. Jpn. 79, 034004 (2010)

    Article  ADS  Google Scholar 

  32. I. Aranson, V. Steinberg, Phys. Rev. B 53, 75 (1996)

    Article  ADS  Google Scholar 

  33. M. Nakahara, T. Isoshima, K. Machida, S.-I. Ogawa, T. Ohmi, Physica B 284–288, 17 (2000)

    Article  Google Scholar 

  34. T. Isoshima, M. Nakahara, T. Ohmi, K. Machida, Phys. Rev. A 61, 063610 (2000)

    Article  ADS  Google Scholar 

  35. S.-I. Ogawa, M. Möttönen, M. Nakahara, T. Ohmi, H. Shimada, Phys. Rev. A 66, 013617 (2002)

    Article  ADS  Google Scholar 

  36. M. Möttönen, N. Matsumoto, M. Nakahara, T. Ohmi, J. Phys., Condens. Matter 14, 13481 (2002)

    Article  ADS  Google Scholar 

  37. 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 

  38. M. Möttönen, V. Pietilä, S.M.M. Virtanen, Phys. Rev. Lett. 99, 250406 (2007)

    Article  Google Scholar 

  39. T.P. Simula, P. Engels, I. Coddington, V. Schweikhard, E.A. Cornell, R.J. Ballagh, Phys. Rev. Lett. 94, 080404 (2005)

    Article  ADS  Google Scholar 

  40. M.C. Davis, R. Carretero-González, Z. Shi, K.J.H. Law, P.G. Kevrekidis, B.P. Anderson, Phys. Rev. A 80, 023604 (2009)

    Article  ADS  Google Scholar 

  41. T.W. Neely, E.C. Samson, A.S. Bradley, M.J. Davis, B.P. Anderson, Phys. Rev. Lett. 104, 160401 (2010)

    Article  ADS  Google Scholar 

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

    Book  MATH  Google Scholar 

  43. A.E. Leanhardt, T.A. Pasquini, M. Saba, A. Schirotzek, Y. Shin, D. Kielpinski, D.E. Pritchard, W. Ketterle, Science 301, 1513 (2003)

    Article  ADS  Google Scholar 

  44. C.J. Pethick, H. Smith, Bose–Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2008)

    Google Scholar 

  45. P. Juncar, J. Pinard, J. Hamon, A. Chartier, Metrologia 17, 77 (1981)

    Article  ADS  Google Scholar 

  46. J. Ye, S. Swartz, P. Jungner, J.L. Hall, Opt. Lett. 21, 1280 (1996)

    Article  ADS  Google Scholar 

  47. D.A. Steck, Sodium D Line Data, available online at http://steck.us/alkalidata (revision 2.1.3, 26 August 2009)

  48. D.A. Steck, Rubidium 87 D Line Data, available online at http://steck.us/alkalidata (revision 2.1.2, 12 August 2009)

  49. MATLAB 2008a, The MathWorks, Natick, MA (2008)

  50. T. Ohmi, K. Machida, J. Phys. Soc. Jpn. 67, 1822 (1998)

    Article  ADS  Google Scholar 

  51. T.-L. Ho, Phys. Rev. Lett. 81, 742 (1998)

    Article  ADS  Google Scholar 

  52. Z.F. Xu, P. Zhang, C. Raman, L. You, Phys. Rev. A 78, 043606 (2008)

    Article  ADS  Google Scholar 

  53. Z.F. Xu, P. Zhang, R. Lü, L. You, Phys. Rev. A 81, 053619 (2010)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pekko Kuopanportti.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuopanportti, P., Möttönen, M. Stabilization and Pumping of Giant Vortices in Dilute Bose–Einstein Condensates. J Low Temp Phys 161, 561–573 (2010). https://doi.org/10.1007/s10909-010-0216-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-010-0216-1

Keywords

Navigation