How composite bosons really interact

  • M. Combescot
  • O. Betbeder-Matibet
Solid and Condensed State Physics


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.


Spectroscopy Neural Network State Physics Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. A.A. Abrikosov, L.P. Gorkov, I.E. Dzyaloshinski, Methods of quantum field theory in statistical physics (Prentice-Hall, Englewood Cliffs, N.J., 1964) Google Scholar
  2. P. Nozières, Le problème à N Corps (Dunod, Paris, 1963) Google Scholar
  3. A. Fetter, J. Walecka, Quantum theory of many-particle systems (Mc Graw-Hill, N.Y., 1971) Google Scholar
  4. G. Mahan, Many-particle physics (Plenum Press, N.Y., 1990) Google Scholar
  5. For a review, see A. Klein, E.R. Marshalek, Rev. Mod. Phys. 63, 375 (1991), and references therein CrossRefGoogle Scholar
  6. For a short review, see M. Combescot, O. Betbeder-Matibet, Solid State Com. 134, 11 (2005) CrossRefGoogle Scholar
  7. M. Combescot, O. Betbeder-Matibet, Europhysics Lett. 58, 87 (2002); M. Combescot, O. Betbeder-Matibet, Europhysics Lett. 62, 140 (2003) CrossRefADSGoogle Scholar
  8. O. Betbeder-Matibet, M. Combescot, Eur. Phys. J. B 27, 505 (2002) CrossRefADSGoogle Scholar
  9. M. Combescot, O. Betbeder-Matibet, Eur. Phys. J. B 42, 509 (2004) CrossRefADSGoogle Scholar
  10. M. Combescot, O. Betbeder-Matibet, Phys. Rev. Lett. 93, 016403 (2004) CrossRefADSGoogle Scholar
  11. E. Hanamura, H. Haug, Phys. Rep. 33, 209 (1977) CrossRefADSGoogle Scholar
  12. H. Haug, S. Schmitt-Rink, Prog. Quant. Elect. 9, 3 (1984) CrossRefADSMathSciNetGoogle Scholar
  13. C. Piermarocchi, C. Chen, L.J. Sham, D.J. Steel, Phys. Rev. Lett. 89, 167402-1 (2002) CrossRefADSGoogle Scholar
  14. A. Nazir, B. Lovet, S.D. Barrett, T.P. Spiller, G.A.D. Briggs, Phys. Rev. Lett. 93, 150502-1 (2004) CrossRefADSGoogle Scholar
  15. M. Combescot, R. Combescot, Phys. Rev. Lett. 61, 117 (1988) CrossRefADSGoogle Scholar
  16. M. Combescot, O. Betbeder-Matibet, K. Cho, H. Ajiki, Europhys. Lett. 72, 618 (2005) CrossRefADSGoogle Scholar
  17. D. Snoke, Science 298, 1368 (2002) CrossRefADSGoogle Scholar
  18. L.V. Butov, A.C. Gossard, D.S. Chemla, Nature 418, 751 (2002) CrossRefADSGoogle Scholar
  19. As pointed out long ago by M. Girardeau, J. Math. Phys. 4, 1096 (1963) CrossRefMATHMathSciNetGoogle Scholar
  20. T. Usui, Prog. Theor. Phys. 23, 787 (1957) CrossRefADSMathSciNetGoogle Scholar
  21. M. Combescot, O. Betbeder-Matibet, Phys. Rev. B 72, 193105 (2005) CrossRefADSGoogle Scholar
  22. For a review, see M. Combescot, Phys. Rep. 221, 168 (1992) Google Scholar
  23. M. Combescot, O. Betbeder-Matibet, submitted to Phys. Rev. B Google Scholar
  24. M. Combescot, O. Betbeder-Matibet, Solid State Com. 132, 129 (2004) CrossRefGoogle Scholar
  25. A. Imamoglu et al., Phys. Rev. Lett. 83, 4204 (1999) CrossRefGoogle Scholar
  26. M.N. Leuenberger, M.E. Flatté, D.D. Awschalom, Phys. Rev. Lett. 94, 107401 (2005) CrossRefADSGoogle Scholar
  27. See for example, Semiconductor spintonics and quantum computation, edited by D.D. Awschalom, D. Loss, N. Samarth (Springer, N.Y., 2002) Google Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Authors and Affiliations

  1. 1.Institut des Nanosciences de Paris, Université Pierre et Marie Curie and Université Denis Diderot, CNRSParisFrance

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