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Annals of Physics

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

A.‐B. A. Mohamed, NASSER METWALLY

Published Feb 21, 2017• 23 citations
Publisher
DOI
10.1016/j.aop.2017.02.009

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Abstract We investigate the impact of intrinsic decoherence (ID) on non-classical correlations in a Heisenberg qubit-qutrit XXZ system with Dzyaloshinsky-Moriya (DM) interaction and an external inhomogeneous magnetic field. Using uncertainty-induced nonlocality ( UC\mathcal {U}_CUC​ U C ), local quantum uncertainty (LQU), and logarithmic negativity ( LN\mathcal {L}_{\mathcal {N}}LN​ ℒ N ), we assess skew information correlations and bipartite entanglement. Our results show that adjusting system parameters can mitigate the negative effects of ID. UC\mathcal {U}_CUC​ U C effectively detects quantum correlations, and tweaking the mixture parameter enhances skew information correlations, though an external uniform magnetic field reduces them.
We explore the influence of intrinsic decoherence on bipartite entanglement and skew informationcorrelations within a complex quantum system. Specifically, our investigation centers around a hybridqubit-qutrit Heisenberg XXZ model, enriched with the Dzyaloshinsky-Moriya interaction, and exposedto an external inhomogeneous magnetic field. To assess the quantum correlations in this system, weutilize two key metrics: local quantum uncertainty and uncertainty-induced nonlocality to gaugeskew information correlations, and logarithmic negativity to quantify bipartite entanglement. In ourstudy, we probe how various factors impact the behavior of these three quantum correlation indicators.These factors include the rate of intrinsic decoherence, the parameters governing the hybridqubit-qutrit system, the strength of the Dzyaloshinsky-Moriya interaction, and the intensity ofexternal magnetic fields. Our results reveal that intrinsic decoherence detrimentally affectsquantum correlations. Furthermore, the Dzyaloshinsky-Moriya interaction weakens oscillatorypatterns and dampens both skew information correlations and bipartite entanglement within thehybrid system. However, we observe that adjusting the parameters of the hybrid-spin HeisenbergXXZ model can mitigate the adverse effects of intrinsic decoherence on quantum correlations.Notably, our study demonstrates that the measure of uncertainty-induced nonlocality possesses thecapability to detect quantum correlations that other metrics may miss. Additionally, we find that skewinformation correlations can be enhanced by manipulating the mixture parameter. Lastly, we note thatthe presence of an external homogeneous magnetic field leads to a reduction in quantum correlations,as observed in our findings