Robert Bücker, Ulrich Hohenester, Tarik Berrada, Sandrine van Frank, Aurélien Perrin, Stephanie Manz, Thomas Betz, Julian Grond, Thorsten Schumm, Jörg Schmiedmayer
We develop a model for parametric amplification, based on a density matrix approach, which naturally accounts for the peculiarities arising for matter waves: significant depletion and explicit time-dependence of the source state population, long interaction times, and spatial dynamics of the amplified modes. We apply our model to explain the details in an experimental study on twin-atom beam emission from a one-dimensional degenerate Bose gas.
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http://arxiv.org/abs/1203.5357
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