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Giant vortex phase transition in rapidly rotating trapped Bose-Einstein condensates

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Abstract

A Bose-Einstein condensate of cold atoms is a superfluid and thus responds to rotation of its container by the nucleation of quantized vortices. If the trapping potential is sufficiently strong, there is no theoretical limit to the rotation frequency one can impose to the fluid, and several phase transitions characterized by the number and distribution of vortices occur when it is increased from 0 to ∞. In this note we focus on a regime of very large rotation velocity where vortices disappear from the bulk of the fluid, gathering in a central hole of low matter density induced by the centrifugal force.

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References

  1. A. Aftalion, Vortices in Bose-Einstein Condensates (Birkhäuser, Basel, 2006)

  2. V. Bretin, S. Stock, Y. Seurin, J. Dalibard, Phys. Rev. Lett. 92, 050403 (2004)

    Article  ADS  Google Scholar 

  3. N.R. Cooper, Adv. Phys. 57, 539 (2008)

    Article  ADS  Google Scholar 

  4. M. Correggi, F. Pinsker, N. Rougerie, J. Yngvason, J. Stat. Phys. 143, 261 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. M. Correggi, F. Pinsker, N. Rougerie, J. Yngvason, Phys. Rev. A 84, 053614 (2011)

    Article  ADS  Google Scholar 

  6. M. Correggi, F. Pinsker, N. Rougerie, J. Yngvason, J. Math. Phys. 53, 095203 (2012)

    Article  ADS  Google Scholar 

  7. M. Correggi, N. Rougerie, J. Yngvason, Commun. Math. Phys. 303, 451 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. A.L. Fetter, Phys. Rev. A 64, 063608 (2001)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  10. A.L. Fetter, B. Jackson, S. Stringari, Phys. Rev. A 71, 013605 (2005)

    Article  ADS  Google Scholar 

  11. U.R. Fischer, G. Baym, Phys. Rev. Lett. 90, 140402 (2003)

    Article  ADS  Google Scholar 

  12. H. Fu, E. Zaremba, Phys. Rev. A 73, 013614 (2006)

    Article  ADS  Google Scholar 

  13. K. Kasamatsu, M. Tsubota, M. Ueda, Phys. Rev. A 66, 053606 (2002)

    Article  ADS  Google Scholar 

  14. G.M. Kavoulakis, G. Baym, New J. Phys. 5, 51.1 (2003)

    Article  Google Scholar 

  15. J.K. Kim, A.L. Fetter, Phys. Rev. A 72, 023619 (2005)

    Article  ADS  Google Scholar 

  16. N. Rougerie, Archive Rational Mech. Anal. 203, 69 (2012)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. E. Sandier, S. Serfaty, Vortices in the Magnetic Ginzburg-Landau Model (Birkhäuser, Basel, 2007)

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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi Roma Tre, Largo San Leonardo Murialdo 1, 00146, Roma, Italy

    Michele Correggi

  2. DAMTP, University of Cambridge, Wilbertforce Road, Cambridge, CB3 0WA, UK

    Florian Pinsker

  3. Université Grenoble 1 & CNRS, LPMMC (UMR 5493), BP. 166, 38042, Grenoble, France

    Nicolas Rougerie

  4. Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090, Vienna, Austria

    Jakob Yngvason

  5. Erwin Schrödinger Institute for Mathematical Physics, Boltzmanngasse 9, 1090, Vienna, Austria

    Jakob Yngvason

Authors
  1. Michele Correggi
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  2. Florian Pinsker
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  3. Nicolas Rougerie
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  4. Jakob Yngvason
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Corresponding author

Correspondence to Nicolas Rougerie.

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Correggi, M., Pinsker, F., Rougerie, N. et al. Giant vortex phase transition in rapidly rotating trapped Bose-Einstein condensates. Eur. Phys. J. Spec. Top. 217, 183–188 (2013). https://doi.org/10.1140/epjst/e2013-01767-5

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  • DOI: https://doi.org/10.1140/epjst/e2013-01767-5

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