Instabilities and self-socillations in atomic four-wave mixing

Details Instabilities and self-socillations in atomic four-wave mixing Instabilities and self-socillations in atomic four-wave mixing

2000-05-26

arxiv.org/abs/cond-mat/0005479v1

Physics

Condensed Matter

8 pages, 5 figures

Scientific paper

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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