Generating non-classical correlations in two-level atoms

We address the effective generation of thermal non-classical correlations in two two-level atoms when exposed to a Fock-state cavity incorporated with classical decoherence effects. Using Bell non-locality, quantum coherence, and concurrence, we investigate the generation maps of non-locality, coherence, and entanglement. We show that the two atoms are initially separable, however, they become coherent and entangled within a short period of time when exploited with the Fock-state cavity. Interestingly, the Fock-state cavity shows dominant traits for the complete suppression of the classical decoherence effects. However, the decoherence effects appear initially and delay the generation of non-classical correlations. In addition, the generation delay of non-classical correlations is observed to be highly affected when the atom-cavity configuration is considered in a strong coupling regime. Compared to the entanglement and non-locality, the Fock-state cavity develops quantum coherence faster in the two-level systems. Finally, we also discuss the optimal feature settings of the Fock-state cavity, related significance, and experimental prospects of the study.