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 counter-propagating 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 spatiotemporal 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.
|Original language||English (US)|
|Number of pages||7|
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|State||Published - Dec 1 2001|
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics