Casimir-Polder effect for a plane with Chern-Simons interaction
Valery N. Marachevsky, Yury M. Pis'mak

TL;DR
This paper introduces a new formalism to evaluate the Casimir-Polder potential for an atom near a plane with Chern-Simons interaction, highlighting the role of dipole correlations.
Contribution
It presents a novel gauge-invariant method to compute Casimir-Polder forces involving Chern-Simons interactions, extending previous approaches.
Findings
Derived the ground state energy dependence on dipole correlations
Demonstrated the formalism's applicability to 2D Chern-Simons planes
Highlighted the antisymmetric dipole correlation's role in the potential
Abstract
A novel formalism for the evaluation of the Casimir-Polder potential in an arbitrary gauge of vector potentials is introduced. The ground state energy of a neutral atom in the presence of an infinite two-dimensional plane with Chern-Simons interaction is derived at zero temperature. The essential feature of the result is its dependence on the antisymmetric part of a dipole moment correlation function.
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