2008/06/12 by А. М. Ishkhanyan, A. M. Ishkhanyan, B Joulakian +3 · 1 citation
Mathematics · Physics and Astronomy · #Amplitude #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Coupling (piping) #Coupling constant #Feshbach resonance #Field (mathematics) #Limit (mathematics) #Mathematical analysis #Mathematics #Molecule #Nonlinear system #Physics #Population #Quantum mechanics #Quantum, superfluid, helium dynamics #Resonance (particle physics) #Statistical physics #Strong Light-Matter Interactions #cond-mat.quant-gas
paper · pdf · doi:10.1140/epjd/e2008-00117-0
published as European Physical Journal D 48, 397 (2008)
openalex publication_date 2008/06/12 · arxiv created 2009/09/02 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.