Skip to main content
SpringerLink
Log in

Thermodynamic properties of a rotating Bose-Einstein condensation in a harmonic plus quartic trap

  • Regular Article
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

In this paper, the thermodynamic properties of a rotating Bose-Einstein condensate confined in a harmonic plus quartic potential are calculated using a modified semiclassical approximation. We determined the condensate fraction, critical temperature and heat capacity of the condensate using a method that takes into account deviations from ideal gas behavior due to the effect of finite size and the chemical potential when it is equal to the ground state energy (positive chemical potential). Predictions that can be directly compared with experiment have been found.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. T.-L. Ho, Phys. Rev. Lett. 87, 060403 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  6. A.L. Fetter, Physica C 404, 158 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  9. X. Blanc, N. Rougerie, Phys. Rev. A 77, 053615 (2008)

    Article  ADS  Google Scholar 

  10. S. Stock, B. Battelier, V. Bretin, Z. Hadzibabic, J. Dalibard, Laser Phys. Lett. 2, 275 (2005)

    Article  ADS  Google Scholar 

  11. S. Bargi, G.M. Kavoulakis, S.M. Reimann, Phys. Rev. A 73, 033613 (2006)

    Article  ADS  Google Scholar 

  12. K. Howe, A.R.P. Lima, A. Pelster, Eur. Phys. J. D 54, 667 (2009)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  14. S. Kling, A. Pelster, Phys. Rev. A 76, 023609 (2007)

    Article  ADS  Google Scholar 

  15. S. Kling, A. Pelster, Laser Phys. 19, 1072 (2009)

    Article  ADS  Google Scholar 

  16. K. Kirsten, D.J. Toms, Phys. Lett. A 222, 148 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  17. K. Kirsten, D.J. Toms, Phys. Rev. A 54, 4188 (1996)

    Article  ADS  Google Scholar 

  18. K. Kirsten, D.J. Toms, Phys. Lett. A 243, 137 (1998)

    Article  ADS  Google Scholar 

  19. K. Kirsten, D.J. Toms, Phys. Rev. E 59, 158 (1999)

    Article  ADS  Google Scholar 

  20. S. Grossmann, M. Holthaus, Phys. Lett. A 208, 188 (1995)

    Article  ADS  Google Scholar 

  21. F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 71, 463 (1999)

    Article  ADS  Google Scholar 

  22. S. Stringari, Phys. Rev. Lett. 82, 4371 (1999)

    Article  ADS  Google Scholar 

  23. S. Gautam, D. Angom, Eur. Phys. J. D 46, 151 (2008)

    Article  ADS  Google Scholar 

  24. A.S. Hassan, Phys. Lett. A 374, 2106 (2010)

    Article  ADS  MATH  Google Scholar 

  25. A.S. Hassan, A.M. El-Badry, S.S.M. Soliman, Eur. Phys. J. D 64, 465 (2011)

    Article  ADS  Google Scholar 

  26. A.S. Hassan, A.M. El-Badry, A.M. Mohammedein, M.R. Ebeid, Phys. Lett. A 376, 1781 (2012)

    Article  ADS  Google Scholar 

  27. A.S. Hassan, A.M. El-Badry, Physica B 404, 1947 (2009)

    Article  ADS  Google Scholar 

  28. G. Su, L. Chen, J. Chen, Phys. Lett. A 326, 252 (2004)

    Article  ADS  MATH  Google Scholar 

  29. N.J. Van Druten, W. Ketterle, Phys. Rev. Lett. 79, 549 (1997)

    Article  ADS  Google Scholar 

  30. S. Stock, Ph.D. thesis, Paris University, 2006

  31. C. Cohen-Tannoudji, B. Diu, F. Lalöe, in Quantum Mechanics (Wiley, New York, 1977), Chap. 8

  32. R.L.D. Campbell, R.P. Smith, N. Tammuz, S. Beattie, S. Moulder, Z. Hadzibabic, Phys. Rev. A 82, 063611 (2010)

    Article  ADS  Google Scholar 

  33. G.L. Ingold, A. Lambrecht, Eur. Phys. J. D 1, 29 (1998)

    Article  ADS  Google Scholar 

  34. S. Goswami, T.K. Das, A. Biswas, Phys. Rev. A 84, 053617 (2011)

    Article  ADS  Google Scholar 

Download references

Author information

Author notes

  1. Abdelhamid A. Galal

    Present address: Physics Department, American University in Cairo, AUC Avenue, New Cairo, Egypt

Authors and Affiliations

  1. Department of Physics, Faculty of Science, Cairo University, Giza, Egypt

    Tharwat M. El-Sherbini, Doaa Hassan & Abdelhamid A. Galal

  2. Department of Physics, Faculty of Science, El Minia University, El Minia, Egypt

    Ahmed S. Hassan

Authors
  1. Tharwat M. El-Sherbini
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Doaa Hassan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Abdelhamid A. Galal
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ahmed S. Hassan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Doaa Hassan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

El-Sherbini, T.M., Hassan, D., Galal, A.A. et al. Thermodynamic properties of a rotating Bose-Einstein condensation in a harmonic plus quartic trap. Eur. Phys. J. D 67, 185 (2013). https://doi.org/10.1140/epjd/e2013-40243-x

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2013-40243-x

Keywords

Search

Navigation