Two strong nonlinearity regimes in cold molecule formation
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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.
PACS.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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- L.D. Landau, Phys. Z. Sowjetunion, 2, 46 (1932); C. Zener, Proc. R. Soc. Lond. A, 137, 696 (1932) Google Scholar
- E.E. Nikitin, Opt. Spectrosk. 13, 761 (1962); E.E. Nikitin, Disc. Faraday Soc. 33, 14 (1962) Google Scholar
- E.E. Nikitin, S.Ya. Umanski, Theory of Slow Atomic Collisions (Springer, Berlin, 1984) Google Scholar
- H. Nakamura, Nonadiabatic Transition (World Scientific, Singapore, 2002) Google Scholar
- F.G. Tricomi, Integral Equations (Dover Publications, New York, 1985) Google Scholar
- M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965) Google Scholar