Skip to main content
Log in

Role of the atom-atom scattering length and of symmetrization in unidimensional ultracold atom-diatom collisions

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

Abstract

The role of the atom-atom scattering length and of the symmetrization in ultracold atom-diatom collisions in one dimension is presented. For an ultracold atom-diatom collision and for a diatomic molecule in its highest vibrational state, inelastic rate coefficients vanish for a system composed of fermionic atoms as the atom-atom scattering length increases whereas they do not for a system composed of bosonicatoms. The differences come from the symmetrization of the wavefunction of the systems. We explain these differences by comparing the shape of the effective potentials of the atom-diatom approach. For the fermionic system, we use a zero-range interaction to modelize the adiabatic energies and we give a lower estimate of the atom-diatom scattering length as a function of the atom-atom scattering length.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. J.M. Hutson, P. Soldán, Int. Rev. Phys. Chem. 25, 497 (2006)

    Article  Google Scholar 

  2. E.A. Donley, N.R. Claussen, S.T. Thompson, C.E. Wieman, Nature 417, 529 (2002)

    Article  ADS  Google Scholar 

  3. J. Herbig, T. Kraemer, M. Mark, T. Weber, C. Chin, H.-C. Nägerl, R. Grimm, Science 301, 1510 (2003)

    Article  ADS  Google Scholar 

  4. T. Mukaiyama, J.R. Abo-Shaeer, J.K. Chin, D.E. Miller, W. Ketterle, Phys. Rev. Lett. 91, 210402 (2003)

    Article  Google Scholar 

  5. S. Dürr, T. Volz, A. Marte, G. Rempe, Phys. Rev. Lett. 92, 020406 (2004)

    Article  Google Scholar 

  6. K.E. Strecker, G.B. Partridge, R.G. Hulet, Phys. Rev. Lett. 91, 080406 (2003)

    Article  ADS  Google Scholar 

  7. J. Cubizolles, T. Bourdel, S.J.J.M.F. Kokkelmans, G.V. Shlyapnikov, C. Salomon, Phys. Rev. Lett. 91, 240401 (2003)

    Article  ADS  Google Scholar 

  8. S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, C. Chin, J.H. Denschlag, R. Grimm, Phys. Rev. Lett. 91, 240402 (2003)

    Article  ADS  Google Scholar 

  9. C.A. Regal, M. Greiner, D.S. Jin, Phys. Rev. Lett. 92, 083201 (2004)

    Article  ADS  Google Scholar 

  10. S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, S. Riedl, C. Chin, J.H. Denschlag, R. Grimm, Science 302, 2101 (2003)

    Article  ADS  Google Scholar 

  11. M.W. Zwierlein, C.A. Stan, C.H. Schunck, S.M.F. Raupach, S. Gupta, Z. Hadzibabic, W. Ketterle, Phys. Rev. Lett. 91, 250401 (2003)

    Article  ADS  Google Scholar 

  12. T. Bourdel, L. Khaykovich, J. Cubizolles, J. Zhang, F. Chevy, M. Teichmann, L. Tarruell, S.J.J.M.F. Kokkelmans, C. Salomon, Phys. Rev. Lett. 93, 050401 (2004)

    Article  ADS  Google Scholar 

  13. M. Greiner, C.A. Regal, D.S. Jin, Nature 426, 537 (2003)

    Article  ADS  Google Scholar 

  14. J.M. Hutson, P. Soldán, Int. Rev. Phys. Chem. 26, 1 (2007)

    Article  Google Scholar 

  15. G. Quéméner, N. Balakrishnan, R.V. Krems, Phys. Rev. A 77, 030704(R) (2008)

    Article  ADS  Google Scholar 

  16. P. Soldán, M.T. Cvitaš, J.M. Hutson, P. Honvault, J.-M. Launay, Phys. Rev. Lett. 89, 153201 (2002)

    Article  ADS  Google Scholar 

  17. G. Quéméner, P. Honvault, J.-M. Launay, Eur. Phys. J. D 30, 201 (2004)

    Article  ADS  Google Scholar 

  18. G. Quéméner, P. Honvault, J.-M. Launay, P. Soldán, D.E. Potter, J.M. Hutson, Phys. Rev. A 71, 032722 (2005)

    Article  ADS  Google Scholar 

  19. M.T. Cvitaš, P. Soldán, J.M. Hutson, P. Honvault, J.-M. Launay, Phys. Rev. Lett. 94, 033201 (2005)

    Article  ADS  Google Scholar 

  20. M.T. Cvitaš, P. Soldán, J.M. Hutson, P. Honvault, J.-M. Launay, J. Chem. Phys. 127, 074302 (2007)

    Article  ADS  Google Scholar 

  21. M.T. Cvitaš, P. Soldán, J.M. Hutson, P. Honvault, J.-M. Launay, Phys. Rev. Lett. 94, 200402 (2005)

    Article  ADS  Google Scholar 

  22. G. Quéméner, J.-M. Launay, P. Honvault, Phys. Rev. A 75, 050701(R) (2007)

    Google Scholar 

  23. D.S. Petrov, Phys. Rev. A 77, 010703(R) (2003)

    Google Scholar 

  24. D.S. Petrov, C. Salomon, G.V. Shlyapnikov, Phys. Rev. Lett. 93, 090404 (2004)

    Article  ADS  Google Scholar 

  25. D.S. Petrov, C. Salomon, G.V. Shlyapnikov, Phys. Rev. A 71, 012708 (2005)

    Article  ADS  Google Scholar 

  26. J.P. D’Incao, B.D. Esry, Phys. Rev. Lett. 94, 213201 (2005)

    Article  ADS  Google Scholar 

  27. V. Efimov, Phys. Lett. B 33, 563 (1970)

    Article  ADS  Google Scholar 

  28. V. Efimov, J. Nucl. Phys. 12, 589 (1971)

    Google Scholar 

  29. B.D. Esry, C.H. Greene, Nature 440, 289 (2006) and references therein

    Article  ADS  Google Scholar 

  30. T. Kraemer, M. Mark, P. Waldburger, J.G. Danzl, C. Chin, B. Engeser, A.D. Lange, K. Pilch, A. Jaakkola, H.-C. Nägerl, R. Grimm, Nature 440, 315 (2006) and references therein

    Article  ADS  Google Scholar 

  31. A. Görlitz, J.M. Vogels, A.E. Leanhardt, C. Raman, T.L. Gustavson, J.R. Abo-Shaeer, A.P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, W. Ketterle, Phys. Rev. Lett. 87, 130402 (2001)

    Article  Google Scholar 

  32. B. Laburthe Tolra, K.M. O’Hara, J.H. Huckans, W.D. Phillips, S.L. Rolston, J.V. Porto, Phys. Rev. Lett. 92, 190401 (2004)

    Article  Google Scholar 

  33. T. Kinoshita, T. Wenger, D.S. Weiss, Science 305, 1125 (2004)

    Article  ADS  Google Scholar 

  34. J. Esteve, J.-B. Trebbia, T. Schumm, A. Aspect, C.I. Westbrook, I. Bouchoule, Phys. Rev. Lett. 96, 130403 (2006)

    Article  ADS  Google Scholar 

  35. T. Kinoshita, T. Wenger, D.S. Weiss, Nature 440, 900 (2006)

    Article  ADS  Google Scholar 

  36. N.P. Mehta, B.D. Esry, C.H. Greene, Phys. Rev. A 76, 022711 (2007)

    Article  ADS  Google Scholar 

  37. A. Kuppermann, J.A. Kaye, J.P. Dwyer, Chem. Phys. Lett. 74, 257 (1980)

    Article  ADS  Google Scholar 

  38. J.V. Lill, G.A. Parker, J.C. Light, Chem. Phys. Lett. 89, 483 (1982)

    Article  ADS  Google Scholar 

  39. J.C. Light, I.P. Hamilton, J.V. Lill, J. Chem. Phys. 82, 1400 (1985)

    Article  ADS  Google Scholar 

  40. J.V. Lill, G.A. Parker, J.C. Light, J. Chem. Phys. 85, 900 (1986)

    Article  ADS  Google Scholar 

  41. D.T. Colbert, W.H. Miller, J. Chem. Phys. 96, 1982 (1992)

    Article  ADS  Google Scholar 

  42. B. Lepetit, J.-M. Launay, M. LeDourneuf, Chem. Phys. 106, 103 (1986)

    Article  Google Scholar 

  43. B.R. Johnson, J. Comput. Phys. 13, 445 (1973)

    Article  ADS  Google Scholar 

  44. D.E. Manolopoulos, J. Chem. Phys. 85, 6425 (1986)

    Article  ADS  Google Scholar 

  45. P.M. Morse, Phys. Rev. 34, 57 (1929)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. Quéméner.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Quéméner, G., Honvault, P. & Launay, J.M. Role of the atom-atom scattering length and of symmetrization in unidimensional ultracold atom-diatom collisions. Eur. Phys. J. D 49, 75–84 (2008). https://doi.org/10.1140/epjd/e2008-00151-x

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjd/e2008-00151-x

PACS

Navigation