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arXiv · 1503.04862

The influence of a surface in the non-retarded interaction between two atoms

Reinaldo de Melo e Souza·W. J. M. Kort-Kamp·F. S. S. Rosa·C. Farina
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Abstract

In this work we obtain analytical expressions for the non-additivity effects in the dispersive interaction between two atoms and perfectly conducting surface of arbitrary shape in the non-retarded regime. We show that this three bodies quantum-mechanical problem can be solved by mapping it into a two-bodies electrostatic one. We apply the general formulas developed in this paper in several examples. Firstly we re-derive the London interaction as a particular case of our formalism. Then we treat two atoms in the presence of a plane, re-obtained the result displayed in the literature. After we add some new examples. A particularly interesting one is two atoms inside a plate capacitor, a situation where non-additivity is very manifest since the plates lead to the exponentially suppression of the interaction of the atoms, provided the atoms are separated by a distance of the order of the distance between the plates or greater. Our results holds even in the presence of other atoms inside the plate capacitor. As a last example we deal with two atoms in the presence of a sphere, both grounded and isolated. We show that for realistic experimental parameters the non-additivity may be relevant for the force in each atom.

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Reinaldo de Melo e Souza, W. J. M. Kort-Kamp, F. S. S. Rosa, C. Farina. 2015-03-16. The influence of a surface in the non-retarded interaction between two atoms. https://doi.org/10.1103/physreva.91.052708

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