Effect of dissipation and dipole–dipole interplay on Hilbert–Schmidt distance and Bell’s inequality correlations of two qubits interacting with two-mode cavity field

Abstract

An analytical description is obtained for a system composed of two two-level atoms (qubits) coupled via dipole–dipole interplay by Su(1, 1) and Su(2) Lie group. Both qubits interact with two-mode open cavity through a non-degenerate two-photon process. We explore the influence of the dissipation rate on the non-classical correlation (NCC), based on the Hilbert–Schmidt distance and Bell’s inequality correlations. The robustness of the generated NCCs depend not only on the dipole–dipole interplay but also on the dissipation rate and the initial coherence intensity. The NCCs can be enhanced for some selected values of the dipole–dipole interaction.