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Phys. Rev. A 80, 012504 (2009) [11 pages]

Retarded Casimir-Polder force on an atom near reflecting microstructures

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Claudia Eberlein and Robert Zietal
Department of Physics & Astronomy, University of Sussex, Falmer, Brighton BN1 9QH, United Kingdom

Received 30 April 2009; published 15 July 2009

We derive the fully retarded energy shift of a neutral atom in two different geometries that are useful for modeling etched microstructures. First, we calculate the energy shift due to a reflecting cylindrical wire, and then we work out the energy shift due to a semi-infinite reflecting half-plane. We analyze the results for the wire in various limits of the wire radius and the distance of the atom from the wire, and obtain simple asymptotic expressions useful for estimates. For the half-plane we find an exact representation of the Casimir-Polder interaction in terms of a single fast converging integral, which is easy to evaluate numerically.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.012504
DOI:
10.1103/PhysRevA.80.012504
PACS:
31.70.−f, 41.20.Cv, 42.50.Pq