Four wave mixing in the scattering of Bose-Einstein condensates

Marek Trippenbach; Yehuda B. Band; Paul S. Julienne

doi:10.1364/OE.3.000530

Four wave mixing in the scattering of Bose-Einstein condensates

Marek Trippenbach, Yehuda B. Band, Paul S. Julienne

Department of Chemistry

Research output: Contribution to journal › Article › peer-review

63 Scopus citations

Abstract

The nonlinear coupling term in the Gross-Pitiaevski equation which describes a Bose-Einstein condensate (BEC) can cause four-wave mixing (4WM) if three BEC wavepackets with momenta k₁, k₂, and k ₃ interact. The interaction will produce a fourth wavepacket with momentum k₄ = k₁ + k₂ - k₃. We study this process using numerical models and suggest that experiments are feasible. Conservation of energy and momentum have different consequences for 4WM with massive particles than in the nonlinear optics case because of the different energy-momentum dispersion relations.

Original language	English
Pages (from-to)	530-537
Number of pages	8
Journal	Optics Express
Volume	3
Issue number	13
DOIs	https://doi.org/10.1364/OE.3.000530
State	Published - 1 Jan 1998

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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abstract = "The nonlinear coupling term in the Gross-Pitiaevski equation which describes a Bose-Einstein condensate (BEC) can cause four-wave mixing (4WM) if three BEC wavepackets with momenta k1, k2, and k 3 interact. The interaction will produce a fourth wavepacket with momentum k4 = k1 + k2 - k3. We study this process using numerical models and suggest that experiments are feasible. Conservation of energy and momentum have different consequences for 4WM with massive particles than in the nonlinear optics case because of the different energy-momentum dispersion relations.",

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AB - The nonlinear coupling term in the Gross-Pitiaevski equation which describes a Bose-Einstein condensate (BEC) can cause four-wave mixing (4WM) if three BEC wavepackets with momenta k1, k2, and k 3 interact. The interaction will produce a fourth wavepacket with momentum k4 = k1 + k2 - k3. We study this process using numerical models and suggest that experiments are feasible. Conservation of energy and momentum have different consequences for 4WM with massive particles than in the nonlinear optics case because of the different energy-momentum dispersion relations.

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Four wave mixing in the scattering of Bose-Einstein condensates

Abstract

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