Skip to main content

Free expansion of quasi-2D Bose-Einstein condensates with quantized vortices

Journal of the Korean Physical Society volume 64, pages 53–57 (2014)Cite this article

Abstract

We observe that a density-depleted vortex core evolves into concentric density ripples in a freely-expanding quasi-two-dimensional Bose-Einstein condensate. The atomic density of the expanding condensate rapidly reduces due to the fast expansion along the tightly confined axial direction; thus, the transverse expansion of the condensate is not significantly affected by atom-atom interactions. We find that the observed density profiles of the vortex cores are in good quantitative agreement with numerical simulations assuming no interactions. We analyze the defocused images of the vortex cores, where defocussing is caused by the free fall of the condensate during the expansion time. In the defocused images, the vortex core becomes magnified and appears to be filled after a certain expansion time that depends on the vortex charge number.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

USD 39.95

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

References

  1. R. J. Donnelly, Quantized Vortices in Helium II (Cambridge University Press, Cambridge, 1991).

    Google Scholar 

  2. V. L. Berezinskii, Sov. Phys. JETP 34, 610 (1972); J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).

    ADS  Google Scholar 

  3. B. P. Anderson, J. Low Temp. Phys. 161, 574 (2010).

    ADS  Article  Google Scholar 

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

    ADS  Article  Google Scholar 

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

    ADS  Article  Google Scholar 

  6. V. Bretin, P. Rosenbusch, F. Chevy, G. V. Shlyapnikov, and J. Dalibard, Phys. Rev. Lett. 90, 100403 (2003).

    ADS  Article  Google Scholar 

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

    ADS  Article  Google Scholar 

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

    ADS  Article  Google Scholar 

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

    ADS  Article  Google Scholar 

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

    ADS  Article  Google Scholar 

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

    ADS  Article  Google Scholar 

  12. J. Choi, S. W. Seo and Y. Shin, Phys. Rev. Lett. 110, 175302 (2013).

    ADS  Article  Google Scholar 

  13. E. Lundh, C. J. Pethick and H. Smith, Phys. Rev. A 58, 4816 (1998).

    ADS  Article  Google Scholar 

  14. F. Dalfovo and M. Modugno, Phys. Rev. A 61, 023605 (2000).

    ADS  Article  Google Scholar 

  15. J. Choi, S. W. Seo, W. J. Kwon and Y. Shin, Phys. Rev. Lett. 109, 125301 (2012).

    ADS  Article  Google Scholar 

  16. M. S. Heo, J. Choi and Y. Shin, Phys. Rev. A 83, 013622 (2011).

    ADS  Article  Google Scholar 

  17. C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases, 2nd ed. (Cambridge University Press, Cambridge, 2002).

    Google Scholar 

  18. M. Gu, Advanced Optical Imaging Theory (Springer, New York, 1999).

    Google Scholar 

  19. Tim Langen, private communication.

  20. I. E. Mazets, Phys. Rev. A 86, 055603 (2012).

    ADS  Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Center for Subwavelength Optics and Department of Physics and Astronomy, Seoul National University, Seoul, 151-747, Korea

    Sang Won Seo, Jae-yoon Choi & Yong-il Shin

Authors
  1. Sang Won Seo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jae-yoon Choi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yong-il Shin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yong-il Shin.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Seo, S.W., Choi, Jy. & Shin, Yi. Free expansion of quasi-2D Bose-Einstein condensates with quantized vortices. Journal of the Korean Physical Society 64, 53–57 (2014). https://doi.org/10.3938/jkps.64.53

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3938/jkps.64.53

Keywords

  • Quasi-2D Bose-Einstein condensate
  • Quantized vortex