Interaction of a Bose-Einstein condensate with a surface: perturbative S-matrix approach

  title={Interaction of a Bose-Einstein condensate with a surface: perturbative S-matrix approach},
  author={Jurgen Schiefele and Carsten Henkel},
We derive an expression for the collective Casimir-Polder interaction of a trapped gas of condensed bosons with a plane surface through the coupling of the condensate atoms with the electromagnetic field. A systematic perturbation theory is developed based on a diagrammatic expansion of the electromagnetic self-energy. In the leading order, the result for the interaction-energy is proportional to the number of atoms in the condensate mode. At this order, atom-atom interactions and recoil… 

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