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Springer proceedings in physics

Dynamics of Quantum Resources in Hybrid System Under Decoherence Effect

Essalha Chaouki, Mostafa Mansour

Published Oct 10, 2025• 0 citations
Publisher

Abstract

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 ( $$\mathcal {U}_C$$ U C ), local quantum uncertainty (LQU), and logarithmic negativity ( $$\mathcal {L}_{\mathcal {N}}$$ ℒ N ), we assess skew information correlations and bipartite entanglement. Our results show that adjusting system parameters can mitigate the negative effects of ID. $$\mathcal {U}_C$$ U C effectively detects quantum correlations, and tweaking the mixture parameter enhances skew information correlations, though an external uniform magnetic field reduces them.

DOI
10.1007/978-3-031-88933-2_39

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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
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Generation and robustness of non-local correlations induced by Heisenberg XYZ and intrinsic decoherence models: (x,y)-spin-orbit interactions and xxx- magnetic field
In this work, the Milburn intrinsic decoherence model is used to investigate the role of spin-spin Heisenberg XYZ interaction supported by spin-orbit Dzyaloshinsky Moriya (DM) interactions of x and y directions together in the non-local correlation (NLC) dynamics of Local quantum Fisher information (LQFI), local quantum uncertainty (LQU), and Log-negativity's entanglement. The two-qubit Heisenberg XYZ (non-X) states' nonlocal correlation generations are explored under the effects of the uniformity and the inhomogeneity of an applied x-direction external inhomogeneous magnetic field (EIMF). Our meticulous exploration of the obtained results shows that the spin-spin Heisenberg XYZ and x,y-spin-orbit interactions have a high capability to raise non-local correlations in the presence of a weak external magnetic field. The raised non-local correlation can be improved by strengthening the spin-spin and x,y spin-orbit interactions and increasing the EIMF's inhomogeneity and uniformity. Non-local correlation oscillations' amplitudes and fluctuations are increased. The degradations of the NLCs' generations in the presence of intrinsic decoherence (NLCs' robustness against intrinsic decoherence) can be decreased by strengthening the spin-spin interactions. They can be increased by increasing the intensities of x,y spin-orbit interactions as well as increasing the EIMF's inhomogeneity and uniformity.
Abstract Quantum correlation plays an important role in quantum information processing, for which various quantifiers have been proposed so far. In this paper, we address the dynamics of local quantum uncertainty (LQU) as a reliable quantifier of quantum correlation in a two-qubit Heisenberg spin chain in the presence of nonuniform external magnetic field and Dzyaloshinski-Moriya interaction with intrinsic decoherence. The influences of the initial states, external magnetic field strength, Dzyaloshinski-Moriya interaction strength and intrinsic decoherence rate on the dynamics of LQU have been in detail investigated. Our analytical results show that the dynamics of LQU is strongly depended on the form of initial states. For an initial correlated state, the dynamical behaviors of LQU exhibit either monotonic decay or damped oscillations with respect to time. While for an initial separable state, quantum correlation quantified by LQU can be created due to the Dzyaloshinski-Moriya interaction and Heisenberg anisotropic interaction. Besides, the relationship between LQU and l -norm coherence or concurrence is also demonstrated in the present model.
Abstract This research delves into the dynamic evolution of bipartite entanglement and nonclassical correlations within a two-spin system governed by dipole-dipole interactions and Dzyaloshinsky-Moriya (DM) coupling, while affected by intrinsic decoherence (ID). Beginning with the initialization of the bipartite system in a Werner state, we investigate how ID, dipolar coupling parameters, DM interaction strength, and uniform magnetic field strengths influence the progression of quantum entanglement and nonclassical correlations. Logarithmic negativity serves as a metric for quantifying entanglement, while quantum discord is employed to probe nonclassical correlations beyond entanglement. Our results highlight that strategic adjustments to the system parameters can alleviate the undesirable impact of ID. Moreover, the choice of initial state and its degree of pureness significantly influences the levels of entanglement and quantum discord within the dipolar-coupled spins system.