On the Theory of Casimir-Polder Forces

Details On the Theory of Casimir-Polder Forces On the Theory of Casimir-Polder Forces

2009-04-27

arxiv.org/abs/0904.4241v3

Phys. Rev. A 80, 022902 (2009)

Physics

Quantum Physics

13 pages, 10 figures. Minor corrections. Published version

Scientific paper

10.1103/PhysRevA.80.022902

We consider the energy shift for an atom close to a non-magnetic body with a magnetic moment coupled to a quantized magnetic field. The corresponding repulsive Casimir-Polder force is obtained for a perfect conductor, a metal, a dielectric medium, with dielectric properties modeled by a Drude formula, and a superconductor at zero temperature. The dielectric properties of the superconductor is obtained by making use of the Mattis-Bardeen linear response theory and we present some useful expressions for the low-frequency conductivity. The quantum dynamics with a given initial state is discussed in terms of the well-known Weisskopf-Wigner theory and is compared with corresponding results for a electric dipole coupling. The results obtained are compatible with a conventional master equation approach. In order to illustrate the dependence on geometry and material properties, numerical results are presented for the ground state using a two-level approximation.

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