Dynamics of parametric matter-wave amplification

@article{Bucker2012DynamicsOP,
  title={Dynamics of parametric matter-wave amplification},
  author={Robert Bucker and Ulrich Hohenester and Tarik Berrada and Sandrine van Frank and Aur{\'e}lien Perrin and Stephanie Manz and Thomas Betz and Julian Grond and Thorsten Schumm and J{\"o}rg Schmiedmayer},
  journal={Physical Review A},
  year={2012},
  volume={86}
}
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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