Dispersion Potential of a Ground-state Atom in the Presence of Nonlocal Magnetoelectric Media

The dispersion potential for a single ground-state of an electric and/or magnetic atom has been generalized in the presence of magnetoelectric media, making use of perturbation theory to the ones with nonlocal responses. As the final relation depends on the geometry of the system, the Casimir-Polder force in such systems can be obtained by calculating the gradient of the potential. It will be seen that the potential formula is totally similar to the previously obtained relation for local media. The dependence of the final relation on the Green tensor, geometrically similar systems with different natures of responses to the electromagnetic field may present different results for dispersion potential.