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.
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.
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 U C ), local quantum uncertainty (LQU), and logarithmic negativity ( 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 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
In this paper, we explore the dynamics of quantum correlations in an isolated physical quantum dot under the influence of intrinsic decoherence (ID). We characterize quantum correlations in the quantum dot system using Concurrence to capture the amount of entanglement, and we use Trace Distance Discord (TDD) and Local Quantum Uncertainty (LQU) to measure nonclassical correlations. Likewise, we investigate the effect of ID on the temporal evolution of these quantifiers. In particular, the behavior of the two discord-like quantifiers in terms of the system parameters and the ID rate is investigated and analyzed in detail. We found that TDD and LQU behave similarly for different parameters characterizing the considered system and that TDD is more resistant than Concurrence and LQU against the ID effects. Our results also show that the robustness of quantum correlations can be modulated by adjusting the ID rate, quantum dot physical properties and initial conditions.
We study the dynamics of quantum discord and entanglement for two spin qubits coupled to a spin chain with Dzyaloshinsky-Moriya (DM) interaction. We numerically and analytically investigate the time evolution of quantum discord and entanglement for two-qubit initially prepared in a class of X−structure state. In the case of evolution from a pure state, quantum correlations decay to zero in a very short time at the critical point of the environment. In the case of evolution from a mixed state, It is found that quantum discord may get maximized due to the quantum critical behavior of the environment while entanglement vanishes under the same condition. Moreover, we observed sudden transition between classical and quantum decoherence when single qubit interacts with the environment. The effects of DM interaction on quantum correlations are also considered and revealed in the two cases. It can enhance the decay of quantum correlations and its effect on quantum correlations can be strengthened by anisotropy parameter.
Abstract This work investigates the dynamics of quantum correlations and entanglement in a thermal bipartite dipolar spin system with Dzyaloshinskii–Moriya (DM) interaction, subjected to both Markovian and non-Markovian noise. By analyzing amplitude damping and random telegraph noise channels, we derive explicit analytic forms for the thermal density matrix and quantify coherence, concurrence, quantum discord, local quantum uncertainty (ℒ𝓠𝒰), and teleportation fidelity. Our results reveal that the interplay of temperature and DM interaction crucially governs the robustness of quantum resources. In particular, non-Markovian regimes exhibit memory-induced oscillatory revivals, while Markovian channels produce irreversible decay. Importantly, we identify a hierarchy of robustness, with coherence being more resilient than discord, which in turn surpasses entanglement and ℒ𝓠𝒰, providing design principles for preserving quantum correlations. These findings extend existing open-system studies by highlighting the role of DM interaction and dipolar coupling in tailoring noise resilience, offering practical implications for solid-state spintronics and quantum communication.
Abstract This research delves into the dynamical behavior of quantum correlations and coherence within a mixed Heisenberg dimer system under the intrinsic decoherence. Our approach involves the application of logarithmic negativity, local quantum uncertainty, and the ℓ 1 norm-based coherence as quantifiers for entanglement, skew information correlations, and quantum coherence in this qubit-qutrit model. Our primary objective is to explore the impact of various factors on the dynamics of quantum correlations and quantum coherence. These factors encompass the initial density matrix and its mixing parameter, the intrinsic decoherence rate (γ), the external magnetic field, as well as intrinsic system parameters, notably the XXZ and uniaxial single-ion anisotropies. Our results demonstrate that the introduction of intrinsic decoherence (ID) significantly erodes quantum resources. Particularly, for high values of the ID rate (γ), excessive damping occurs, leading to the absence of oscillations or a rapid decay of quantum resources, ultimately stabilizing in steady states. Furthermore, the presence of an external homogeneous magnetic field further diminishes quantum resources within the system. However, despite the degradation induced by the combined influence of intrinsic decoherence and high external magnetic field intensities, the judicious selection of the initial density matrix and precise adjustment of the uniaxial single-ion anisotropy enable the preservation of quantum resources within the mixed spin-(1/2, 1) Heisenberg dimer.