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Description
The report presents a generalization of the Green’s function method for the scattering problem, allowing for the mixing of electromagnetic polarizations upon reflection from planar interfaces with Chern–Simons (CS) boundary layers. The developed approach makes it possible to systematically derive the Casimir-Polder potential for systems with such boundaries.
The formula for the Casimir–Polder interaction between an anisotropic atomic dipole and a single CS boundary layer at the surface of a homogeneous dielectric half-space is obtained. This result is further generalized to the case of two parallel dielectric half-spaces with CS boundary layers. For the system of two CS layers in vacuum, the Casimir-Polder potential is expressed in terms of special functions.
Fundamentally new results are the prediction and analysis of new P-odd three-body vacuum effects occurring between two parallel CS layers and a neutral atom in the ground state. It is shown that these effects depend on the orientation of the Chern-Simons layers.
The results obtained indicate the possibility of observing P-odd vacuum effects in experiments with neutral atoms.