Dynamics of parametric matter wave amplification
  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. 
Robert B\"ucker, Ulrich Hohenester, Tarik Berrada, Sandrine van Frank,   Aur\'elien Perrin, Stephanie Manz, Thomas Betz, Jul...
cond-mat.quant-gas quant-ph