Instabilities and self-socillations in atomic four-wave mixing
Condensed Matter
2007-05-23 v1 Quantum Physics
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.
Keywords
Cite
@article{arxiv.cond-mat/0005479,
title = {Instabilities and self-socillations in atomic four-wave mixing},
author = {J. Heurich and H. Pu and M. G. Moore and P. Meystre},
journal= {arXiv preprint arXiv:cond-mat/0005479},
year = {2007}
}
Comments
8 pages, 5 figures