Skew information correlations and bipartite entanglement in hybrid qubit-qutrit system under intrinsic decoherence effect

We investigate how bipartite entanglement and skew information correlations are affected by intrinsic decoherence in a hybrid qubit-qutrit Heisenberg XXZ model that incorporates the Dzyaloshinskii-Moriya interaction and is subject to the action of an external inhomogeneous magnetic field. We employ local quantum uncertainty and uncertainty-induced non-locality to estimate skew information correlations in the considered system, while logarithmic negativity is employed to quantify bipartite entanglement. We examine the impact of intrinsic decoherence rate, hybrid qubit-qutrit system parameters, Dzyaloshinskii-Moriya interaction strength, and external magnetic fields intensities on the dynamics of the three indicators of quantum correlations. The results indicate that quantum correlations are compromised by intrinsic decoherence; additionally, the strength of the Dzyaloshinskii-Moriya interaction reduces oscillatory tendencies and attenuates skew information correlations and bipartite entanglement within the hybrid system. However, the adverse impacts of intrinsic decoherence on quantum correlations may be alleviated by modifying hybrid-spin Heisenberg XXZ parameters. Our results show the uncertainty-induced non-locality measure is capable of detecting quantum correlations that other measures fail to detect. Furthermore, we have observed that the skew correlations can be enhanced by adjusting the mixture parameter. On a related note, our findings demonstrate that quantum correlations are reduced by the intervention of the external homogeneous magnetic field.