Skip to main content
SpringerLink
Log in

How composite bosons really interact

  • Solid and Condensed State Physics
  • Published:
The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract.

The aim of this paper is to clarify the conceptual difference which exists between the interactions of composite bosons and the interactions of elementary bosons. A special focus is made on the physical processes which are missed when composite bosons are replaced by elementary bosons. Although what is here said directly applies to excitons, it is also valid for composite bosons in other fields than semiconductor physics. We, in particular, explain how the two elementary scatterings – Coulomb and Pauli – of our many-body theory for composite excitons, can be extended to a pair of fermions which is not an Hamiltonian eigenstate – as for example a pair of trapped electrons, of current interest in quantum information.

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

  • A.A. Abrikosov, L.P. Gorkov, I.E. Dzyaloshinski, Methods of quantum field theory in statistical physics (Prentice-Hall, Englewood Cliffs, N.J., 1964)

  • P. Nozières, Le problème à N Corps (Dunod, Paris, 1963)

  • A. Fetter, J. Walecka, Quantum theory of many-particle systems (Mc Graw-Hill, N.Y., 1971)

  • G. Mahan, Many-particle physics (Plenum Press, N.Y., 1990)

  • For a review, see A. Klein, E.R. Marshalek, Rev. Mod. Phys. 63, 375 (1991), and references therein

    Article  Google Scholar 

  • For a short review, see M. Combescot, O. Betbeder-Matibet, Solid State Com. 134, 11 (2005)

    Article  Google Scholar 

  • M. Combescot, O. Betbeder-Matibet, Europhysics Lett. 58, 87 (2002); M. Combescot, O. Betbeder-Matibet, Europhysics Lett. 62, 140 (2003)

    Article  ADS  Google Scholar 

  • O. Betbeder-Matibet, M. Combescot, Eur. Phys. J. B 27, 505 (2002)

    Article  ADS  Google Scholar 

  • M. Combescot, O. Betbeder-Matibet, Eur. Phys. J. B 42, 509 (2004)

    Article  ADS  Google Scholar 

  • M. Combescot, O. Betbeder-Matibet, Phys. Rev. Lett. 93, 016403 (2004)

    Article  ADS  Google Scholar 

  • E. Hanamura, H. Haug, Phys. Rep. 33, 209 (1977)

    Article  ADS  Google Scholar 

  • H. Haug, S. Schmitt-Rink, Prog. Quant. Elect. 9, 3 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  • C. Piermarocchi, C. Chen, L.J. Sham, D.J. Steel, Phys. Rev. Lett. 89, 167402-1 (2002)

    Article  ADS  Google Scholar 

  • A. Nazir, B. Lovet, S.D. Barrett, T.P. Spiller, G.A.D. Briggs, Phys. Rev. Lett. 93, 150502-1 (2004)

    Article  ADS  Google Scholar 

  • M. Combescot, R. Combescot, Phys. Rev. Lett. 61, 117 (1988)

    Article  ADS  Google Scholar 

  • M. Combescot, O. Betbeder-Matibet, K. Cho, H. Ajiki, Europhys. Lett. 72, 618 (2005)

    Article  ADS  Google Scholar 

  • D. Snoke, Science 298, 1368 (2002)

    Article  ADS  Google Scholar 

  • L.V. Butov, A.C. Gossard, D.S. Chemla, Nature 418, 751 (2002)

    Article  ADS  Google Scholar 

  • As pointed out long ago by M. Girardeau, J. Math. Phys. 4, 1096 (1963)

    Article  MATH  MathSciNet  Google Scholar 

  • T. Usui, Prog. Theor. Phys. 23, 787 (1957)

    Article  ADS  MathSciNet  Google Scholar 

  • M. Combescot, O. Betbeder-Matibet, Phys. Rev. B 72, 193105 (2005)

    Article  ADS  Google Scholar 

  • For a review, see M. Combescot, Phys. Rep. 221, 168 (1992)

    Google Scholar 

  • M. Combescot, O. Betbeder-Matibet, submitted to Phys. Rev. B

  • M. Combescot, O. Betbeder-Matibet, Solid State Com. 132, 129 (2004)

    Article  Google Scholar 

  • A. Imamoglu et al., Phys. Rev. Lett. 83, 4204 (1999)

    Article  Google Scholar 

  • M.N. Leuenberger, M.E. Flatté, D.D. Awschalom, Phys. Rev. Lett. 94, 107401 (2005)

    Article  ADS  Google Scholar 

  • See for example, Semiconductor spintonics and quantum computation, edited by D.D. Awschalom, D. Loss, N. Samarth (Springer, N.Y., 2002)

Download references

Author information

Authors and Affiliations

  1. Institut des Nanosciences de Paris, Université Pierre et Marie Curie and Université Denis Diderot, CNRS, Campus Boucicaut, 140 rue de Lourmel, 75015, Paris, France

    M. Combescot & O. Betbeder-Matibet

Authors
  1. M. Combescot
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. Betbeder-Matibet
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Combescot.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Combescot, M., Betbeder-Matibet, O. How composite bosons really interact. Eur. Phys. J. B 48, 469–481 (2005). https://doi.org/10.1140/epjb/e2006-00007-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2006-00007-3

Keywords

Search

Navigation