Matrix element of the excitation transfer from one two-level atom to another at arbitrary interatomic distances

Abstract

The optical properties of a system of two identical two-level atoms in collective (symmetric $\Psi_s$ and antisymmetric $\Psi_a$) Bell states at arbitrary interatomic distances are investigated. The closed analytical expressions for the shifts and widths of the considered collective states are considered, taking into account the retarded dipole-dipole interaction of atoms. When calculating the radial matrix elements of the dipole-dipole interaction, the wave functions of the model Fues potential are used.