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

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...

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Bibliographic Details
Published in:arXiv.org 2009-10
Main Authors: Sokhoyan, R, Azizbekyan, H, Leroy, C, Ishkhanyan, A
Format: Article
Language:English
Subjects:
Approximation
Mathematical models
Nonlinear dynamics
Parameter modification
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0910.3387