Instabilities and self-oscillations in atomic four-wave mixing

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

Research output: Contribution to journalArticle

35 Citations (Scopus)

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 languageEnglish (US)
Article number033605
Pages (from-to)1-7
Number of pages7
JournalPhysical Review A
Volume63
Issue number3
DOIs
StatePublished - 2001

Fingerprint

self oscillation
four-wave mixing
geometry
Bose-Einstein condensates
counters
optics
analogs
waveguides
thresholds
output
predictions
atoms

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Physics and Astronomy(all)

Cite this

Instabilities and self-oscillations in atomic four-wave mixing. / Heurich, J.; Pu, H.; Moore, M. G.; Meystre, Pierre.

In: Physical Review A, Vol. 63, No. 3, 033605, 2001, p. 1-7.

Research output: Contribution to journalArticle

Heurich, J. ; Pu, H. ; Moore, M. G. ; Meystre, Pierre. / Instabilities and self-oscillations in atomic four-wave mixing. In: Physical Review A. 2001 ; Vol. 63, No. 3. pp. 1-7.
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