Non-classical correlations based on skew information for an entangled two qubit-system with non-mutual interaction under intrinsic decoherence

In this study, a system comprising two charge qubits is initially prepared in a maximum entangled Bell state and two cavities are introduced. An analytical solution is given for the time evolution of the final state of the charge qubits system. The amount of survival for the correlation is quantified based on the local quantum uncertainty, uncertainty-induced quantum non-locality, and negativity. The phenomena of entanglement decay, sudden death, and sudden rebirth are determined for all three measures. Negativity is the most susceptible measure to the noisy cavity whereas uncertainty-induced quantum non-locality is the most robust measure. The upper and lower bounds of entanglement depend on the mean photon numbers in the cavity. Phase damping causes decay and sudden death of the entanglement, but postpones rebirth. A charge entangled two qubit state prepared in a non-symmetric Bell state is more robust than that prepared in a symmetric Bell state.