6533b7d8fe1ef96bd126958f

RESEARCH PRODUCT

Moдель демкова–кунике для ассоциации холодных атомов: режим слабого взаимодействия.

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International audience; We examine the nonlinear dynamics of molecule formation at coherent photo- and magneto-association of an atomic Bose–Einstein condensate 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 an 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 adjustable parameters which are determined through a variational procedure. Assuming that the parameters include in the solution of the linear problem are not modified, we suggest an analytical relation for the scaling parameter.