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.
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.
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
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.
We introduce a new framework for quantum two-spin correlations based on a quantum skew information quantity and long-negativity. The quantum correlations for an anisotropic two-qubit Heisenberg [Formula: see text] model are affected by physical parameters such as intrinsic decoherence, Werner states and time-dependent magnetic fields. In particular, the joint effects of Werner states, magnetic fields and anisotropic parameters on quantum correlation robustness are investigated in the presence of intrinsic decoherence. For an initially uncorrelated state, robust entanglement is generated while skew information between the two quantum bits no longer exists. It is shown that the magnetic field makes the system strongly correlated with incredibly significant steady-state values in uncorrelated states. The phenomenon of sudden death and sudden birth appear during the evolution process of initial conditions. Finally, if the system starts from a mixed state or a Werner state, the magnetic field does not play a significant role in the monotonically decreasing correlations. By leveraging our framework, one can create a kind of stability between the uncertainty-induced quantum nonlocality and the local quantum uncertainty correlations.
Abstract This study investigates the dynamics of quantum coherence and entanglement in the spin‐1 Heisenberg XXZ model. Particularly, the effects of the Heitler‐London (HL) coupling and the Dzyaloshinskii‐Moriya (DM) interaction are examined. By utilizing tools from quantum information theory, the concept of quantum correlated coherence and negativity are explored. The results show intrinsic decoherence leads to a decay of both correlated coherence and negativity. Interestingly, it is found that a small value of the Dzyaloshinskii‐Moriya interaction can significantly enhance coherence and entanglement. Various factors influence the system dynamics, including the initial state, anisotropy parameter, and the coupling distance between spins. It is shown that, by fixing the anisotropy parameter, the isotropic Heisenberg models XX and XXX can be easily recovered. Ultimately, the findings highlight that the system maintains a coherent temporal evolution despite decoherence.
Abstract This research explores the progression of fractional time dynamics of quantum entanglement, nonclassical correlations, and quantum coherence C l 1 in a qubit-qutrit XXZ system through an in-depth analysis of the effects of the fractional parameter τ , the exchange interaction J , the XXZ exchange anisotropy δ , and the Dzyaloshinskii-Moriya interaction (DMI) D z , and the initial state. The results reveal that lower values of τ lead to a rapid and stable increase in quantum correlations (measured by logarithmic negativity, LN, and local quantum uncertainty (LQU) but cause a faster decay in coherence C l 1 , indicating a quick loss of quantum superposition. Conversely, higher values of τ slow the dynamics of correlations, allowing coherence to persist longer. The exchange strength J similarly influences stability: low J values promote fast correlation formation but reduce coherence stability, while high J values stabilize coherence at the expense of slower correlation growth. As for the XXZ anisotropy δ and DMI strength D z , lower values promote rapid quantum correlation development but compromise coherence. In contrast, higher values help sustain C l 1 over time, limiting the intensity of correlations. The initial state is also critical: an initially partially entangled state is more resilient to perturbations. It preserves correlations over time compared to a separable state, which exhibits cycles of entanglement creation and destruction. Thus, by tuning system parameters, it is possible to control the stability and duration of correlations and coherence, providing a framework for optimizing quantum systems in applications that require both strong entanglement and durable coherence, such as quantum computing and secure communication.