TY - JOUR
T1 - Instabilities and self-oscillations in atomic four-wave mixing
AU - Heurich, J.
AU - Pu, H.
AU - Moore, M. G.
AU - Meystre, P.
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevA.63.033605
DO - 10.1103/PhysRevA.63.033605
M3 - Article
AN - SCOPUS:33646179458
SN - 1050-2947
VL - 63
SP - 1
EP - 7
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
M1 - 033605
ER -