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Instabilities and self-socillations in atomic four-wave mixing

J. Heurich·H. Pu·M. G. Moore·P. Meystre
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Abstract

The development of integrated, waveguide-based atom optical devices requires a thorough understanding of nonlinear matter-wave mixing processes in confined geometries. This paper analyzes the stability of counterpropagating two-component Bose-Einstein condensates in such a geometry. The steady state field equations of this system are solved analytically, predicting a multivalued relation between the input and output field intensities. The spatio-temporal linear stability of these solutions is investigated numerically, leading to the prediction of a self-oscillation threshold that can be expressed in terms of a matter-wave analog of the Fresnel number in optics.

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J. Heurich, H. Pu, M. G. Moore, P. Meystre. 2000-05-26. Instabilities and self-socillations in atomic four-wave mixing. https://arxiv.org/abs/cond-mat/0005479

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