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

Jürgen Schiefele; Carsten Henkel

doi:10.1103/physreva.82.023605

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arXiv · 1004.0218

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

Jürgen Schiefele·Carsten Henkel

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Abstract

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 effects lead to corrections compared to the single-atom theory, through shifts of the atomic transition energies. We also discuss the impact of the spatial delocalization of the condensate mode.

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Jürgen Schiefele, Carsten Henkel. 2010-04-01. Interaction of a Bose-Einstein condensate with a surface: perturbative S-matrix approach. https://doi.org/10.1103/physreva.82.023605

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