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 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) |
|---|---|
| Article number | 033605 |
| Pages (from-to) | 1-7 |
| Number of pages | 7 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 63 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2001 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics