Demkov-Kunike model for cold atom association: weak interaction regime

Details Demkov-Kunike model for cold atom association: weak interaction regime Demkov-Kunike model for cold atom association: weak interaction regime

2009-10-18

arxiv.org/abs/0910.3387v1

J. Contemp. Phys. (Armenian Academy of Sciences), Vol. 44, No. 6, 272 (2009)

Physics

Condensed Matter

Quantum Gases

6 pages, 4 figures

Scientific paper

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.

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