Quantum correlation dynamics based on skew information and Bell function in two coupled qubits non-linearly interacting with a coherent field

.In this contribution, an atomic system of two dipole-dipole interaction atoms interacting with a non-linear cavity mode is considered. The generated quantum correlation between the atomic subsystems is quantified by different quantifiers. Two of them are based on the definition of skew information, in addition to concurrence and Bell function quantifiers. It is shown that the quantum correlation may be increased by increasing the dipole' strength. The long-lived non-classical correlation is displayed at small values of the mean photon number and large values of the phase noise. The sensitivity of all measures to the phase noise and the dipole' strength is discussed, where Bell function is violated in the absence of phase noise and for small values of the dipole' strength. The phenomenon of correlation sudden death is depicted for concurrence only.