Non-Gaussian bosonic channels in the Tavis–Cummings model

Abstract

The time evolution of two-level atoms interacting with a single-mode radiation field through the Tavis–Cummings Hamiltonian is studied from the perspective of channel action on the radiation mode. The operator sum representation for the channel in the situation of one atom interacting in resonance with the radiation mode, and two atoms interacting in resonance with the radiation mode, is obtained in the Fock basis. The notions of entanglement breaking, extremality, non-classicality and non-Gaussianity are explored using the obtained operator sum representation. It is shown that the respective channels are not entanglement breaking, are extremal and can generate both non-classicality and non-Gaussianity.