The European Physical Journal D

, Volume 48, Issue 3, pp 397–404 | Cite as

Two strong nonlinearity regimes in cold molecule formation

  • A. M. IshkhanyanEmail author
  • B. Joulakian
  • K.-A. Suominen
Laser Cooling and Quantum Gas


Two distinct strongly non-linear scenarios of molecule formation in an atomic Bose-Einstein condensate (either by photoassociation or Feshbach resonance) corresponding to large and small field detuning are revealed. By examining arbitrary external field configurations, we show that the association process in the first case is almost non-oscillatory in time while in the second case the evolution of the system displays strongly pronounced Rabi-type oscillations. We construct highly accurate approximate solutions for both limit cases. We show that at strong coupling limit the non-crossing models are able to provide conversion of no more than one third of the initial atomic population. Finally, we show that for constant-amplitude models involving a finite final detuning the strong interaction limit is not optimal for molecule formation.


03.75.Nt Other Bose-Einstein condensation phenomena 32.80.Bx Level crossing and optical pumping 33.80.Be Level crossing and optical pumping 34.50.Rk Laser-modified scattering and reactions 


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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Authors and Affiliations

  • A. M. Ishkhanyan
    • 1
    Email author
  • B. Joulakian
    • 2
  • K.-A. Suominen
    • 3
  1. 1.Institute for Physical ResearchAshtarakArmenia
  2. 2.Laboratoire de Physique Moléculaire et des Collisions, Université Paul Verlaine – MetzMetz Cedex 3France
  3. 3.Department of PhysicsUniversity of TurkuTurun yliopistoFinland

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