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

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.

19 pages, 2 figures

References in corpus (13)

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• The force acting on a polarizable nanoparticle in the quantized electromagnetic field

Cited by in corpus (5)

• Influence of chemical potential on the Casimir-Polder interaction between an atom and gapped graphene or graphene-coated substrate
• Collective effects in Casimir-Polder forces
• Feynman Diagrams for Dispersion Interactions Out of Equilibrium -- Two-Body Potentials for Atoms with Initial Excitation
• Bosonic enhancement of spontaneous emission near an interface
• Regularization just by quantization -- a new approach to the old problem of infinities in quantum field theory (Draft of lecture notes)