Skip to main content
SpringerLink
Log in

Three strongly correlated charged bosons in a one-dimensional harmonic trap: natural orbital occupancies

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

Abstract

We study a one-dimensional system composed of three charged bosons confined in an external harmonic potential. More precisely, we investigate the ground-state correlation properties of the system, paying particular attention to the strong-interaction limit. We explain for the first time the nature of the degeneracies appearing in this limit in the spectrum of the reduced density matrix. An explicit representation of the asymptotic natural orbitals and their occupancies is given in terms of some integral equations.

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.

Similar content being viewed by others

References

  1. N. Nielsen, I. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge), 2000

  2. A. Harju, S. Siljamäki, R.M. Nieminen, Phys. Rev. B 65, 075309 (2002)

    Article  ADS  Google Scholar 

  3. A. Puente, L. Serra, R. Nazmitindov, Phys. Rev. B 69, 125315 (2004)

    Article  ADS  Google Scholar 

  4. N. Simonović, R. Nazmitindov, Phys. Rev. B 67, 041305 (2003)

    Article  ADS  Google Scholar 

  5. O. Ciftja, M.G. Faruk, J. Phys.: Condens. Matter 18, 2623 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  8. P.A. Bouvrie et al., Eur. Phys. J. D 66, 15 (2012)

    Article  ADS  Google Scholar 

  9. H. Laguna, R. Sagar, J. Phys. A Math. Theor. 45, 025307 (2012)

    Article  ADS  Google Scholar 

  10. H. Laguna, R. Sagar, Phys. Rev. A 84, 012502 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  12. P. Kościk, Phys. Lett. A 375, 458 (2011)

    Article  ADS  Google Scholar 

  13. P. Kościk, A. Okopińska, J. Phys. A Math. Theor. 40, 1045 (2007)

    Article  ADS  MATH  Google Scholar 

  14. P. Kościk, A. Okopińska, Eur. Phys. J. B 85, 93 (2012)

    Article  ADS  Google Scholar 

  15. B. Sun, M. Pindzola, Phys. Lett. A 373, 3833 (2009)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  16. J. Wang, C.K. Law, M.C. Chu, Phys. Rev. A 72, 022346 (2005)

    Article  ADS  Google Scholar 

  17. S. Zöllner, H. Meyer, P. Schmelcher, Phys. Rev. A 74, 053612 (2006)

    Article  ADS  Google Scholar 

  18. S. Zöllner, H. Meyer, P. Schmelcher, Phys. Rev. A 74, 063611 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  21. M. Girardeau, J. Math. Phys. 1, 516 (1960)

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  25. A. Gonzalez et al., Phys. Rev. B 59, 1653 (1999)

    Article  ADS  Google Scholar 

  26. G. Morigi, H. Walther, Eur. Phys. J. D 13, 261 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  28. J. Ciosłowski, K. Pernal, J. Chem. Phys. 125, 064106 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  30. R. Grobe, K. Rzążewski, J.H. Eberly, J. Phys. B 27, L503 (1994)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  32. G. Ghirardi, L. Marinatto, Phys. Rev. A 70, 012109 (2004)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physics, Jan Kochanowski University, ul. Świętokrzyska 15, 25-406, Kielce, Poland

    P. Kościk

Authors
  1. P. Kościk
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. Kościk.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kościk, P. Three strongly correlated charged bosons in a one-dimensional harmonic trap: natural orbital occupancies. Eur. Phys. J. B 85, 173 (2012). https://doi.org/10.1140/epjb/e2012-30066-6

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2012-30066-6

Keywords

Search

Navigation