Skip to main content
Log in

Ground-state correlation properties of charged bosons trapped in strongly anisotropic harmonic potentials

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

Abstract

We study systems of a few charged bosons contained within a strongly anisotropic harmonic trap. A detailed examination of the ground-state correlation properties of two-, three-, and four-particle systems is carried out within the framework of the single-mode approximation of the transverse components. The linear correlation entropy of the quasi-1D systems is discussed in dependence on the confinement anisotropy and compared with a strictly 1D limit. Only at weak interaction the correlation properties depend strongly on the anisotropy parameter.

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. L. Jacak, P. Hawrylak, A. Wójs, Quantum Dots (Springer, Berlin, 1997)

  2. D.J. Wineland et al., Phys. Rev. Lett. 59, 2935 (1987)

    Article  ADS  Google Scholar 

  3. T. Schneider, R. Blümel, J. Phys. B At. Mol. Opt. Phys. 32, 5017 (1999)

    Article  ADS  Google Scholar 

  4. Y. He, C. Bao, J. Phys. B At. Mol. Opt. Phys. 34, 1641 (2001)

    Article  ADS  Google Scholar 

  5. Y. Kim, A. Zubarev, Phys. Rev. A 64, 013603 (2001)

    Article  ADS  Google Scholar 

  6. A. Gonzalez, B. Partoens, A. Matulis, F. Peeters, Phys. Rev. B 59, 1653 (1999)

    Article  ADS  Google Scholar 

  7. M. Olshanii, Phys. Rev. Lett. 81, 938 (1998)

    Article  ADS  Google Scholar 

  8. M.D. Girardeau, E.M. Wright, J.M. Triscari, Phys. Rev. A 63, 033601 (2001)

    Article  ADS  Google Scholar 

  9. X. Yin et al., Phys. Rev. A 78, 013604 (2008)

    Article  ADS  Google Scholar 

  10. D. Murphy, J. McCann, J. Goold, T. Busch, Phys. Rev. A 76, 053616 (2007)

    Article  ADS  Google Scholar 

  11. T. Sowiński et al., Phys. Rev. A 82, 053631 (2010)

    Article  ADS  Google Scholar 

  12. C. Matthies, S. Zöllner, H.-D. Meyer, P. Schmelcher, Phys. Rev. A 76, 023602 (2007)

    Article  ADS  Google Scholar 

  13. B. Sun, D. Zhou, L. You, Phys. Rev. A 73, 012336 (2006)

    Article  ADS  Google Scholar 

  14. A. Coleman, V. Yukalov, Reduced Density Matrices (Springer, Berlin, 2000)

  15. R. Yañez, A. Plastino, J. Dehesa, Eur. Phys. J. D 56, 141 (2010)

    Article  ADS  Google Scholar 

  16. J.S. Dehesa et al., J. Phys. B At. Mol. Opt. Phys. 45, 015504 (2012)

    Article  ADS  Google Scholar 

  17. D. Manzano et al., J. Phys. A Math. Theor. 43, 275301 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  18. P. Kościk, A. Okopińska, Phys. Lett. A 374, 3841 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  19. G.E. Astrakharchik, M.D. Girardeau, Phys. Rev. B 83, 153303 (2011)

    Article  ADS  Google Scholar 

  20. R. Kosloff, H. Tal-Ezer, Chem. Phys. Lett. 127, 223 (1986)

    Article  ADS  Google Scholar 

  21. M.G. Raizen et al., Phys. Rev. A 45, 6493 (1992)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. Kościk.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kościk, P., Okopińska, A. Ground-state correlation properties of charged bosons trapped in strongly anisotropic harmonic potentials. Eur. Phys. J. B 85, 93 (2012). https://doi.org/10.1140/epjb/e2012-20964-x

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2012-20964-x

Keywords

Navigation