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Article Dans Une Revue Journal of Contemporary Physics (Armenian Academy of Sciences) Année : 2009

Demkov–Kunike Model for Cold Atom Association: Weak Interaction Regime

Résumé

We study the nonlinear mean-field dynamics of molecule formation at coherent photo- and magneto-association of an atomic Bose–Einstein condensate for the case when the external field configuration is defined by the quasi-linear level crossing Demkov–Kunike model, characterized by a bell-shaped pulse and finite variation of the detuning. We present a general approach to construct an approximation describing the temporal dynamics of the molecule formation in the weak interaction regime and apply the developed method to the nonlinear Demkov–Kunike problem. The presented approximation, written as a scaled solution to the linear problem associated to the nonlinear one we treat, contains fitting parameters which are determined through a variational procedure. Assuming that the parameters involved in the solution of the linear problem are not modified, we suggest an analytical expression for the scaling parameter.

Dates et versions

hal-00448929 , version 1 (20-01-2010)

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Citer

R.S. Sokhoyan, H.H. Azizbekyan, Claude Leroy, A.M. Ishkhanyan. Demkov–Kunike Model for Cold Atom Association: Weak Interaction Regime. Journal of Contemporary Physics (Armenian Academy of Sciences), 2009, 44 (6), pp.272-277. ⟨10.3103/S1068337209060036⟩. ⟨hal-00448929⟩
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