Instabilities and self-oscillations in atomic four-wave mixing

J. Heurich, H. Pu, M. G. Moore, P. Meystre

Research output: Contribution to journalArticlepeer-review

35 Scopus citations


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 languageEnglish (US)
Article number033605
Pages (from-to)1-7
Number of pages7
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number3
StatePublished - 2001

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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