How the dynamics of classical and quantum correlations due to the Unruh effect are reflected in the properties of tripartite entropic uncertainty is investigated. It is found that, despite the quantum correlations disappearing at the limit of infinite acceleration, the uncertainty about the measurement outcome is at its minimum. This is due to the three‐qubit system still containing classic correlations at that stage of acceleration. Additionally, the decrease in the entropic uncertainty when the measured qubit interacts strongly with the scalar field can be attributed to the increase in classical correlations. Furthermore, it is found that the entropic uncertainty is fully anti‐correlated to classical correlations, and minimal uncertainty can be obtained even in the absence of quantum correlations. A tremendously tight constraint that effectively defined the properties of tripartite entropic uncertainty based on the difference between the total correlation and the Holevo quantities is achieved.

The thermal quantum correlations' dynamics of an anisotropic two-qubit Heisenberg XYZ model in the presence of a x-projection external magnetic field are investigated in this paper. We use local quantum-Fisher information (LQFI), and log-negativity, and local quantum-uncertainty (LQU) to analyze the generated quantum correlation dynamics. Using the associated parameters, we demonstrate the successful generation of entanglement and quantum correlations beyond entanglement in the anisotropic spin-chain state. Certain values and ranges of anisotropy, external magnetic field, and spin coupling strength are proposed that can be used to achieve either a non-maximal or maximal quantum correlated state. The characterization of the spin-chain state by various parameters determines the dynamical patterns, degree, and preservation limits of the associated quantum correlations. Finally, the LQFI, LQU, and log-negativity functions' robustness is highly dependent on their parameters, and they rarely agree on the degree of quantum correlations and dynamical patterns.

The thermal quantum correlations’ dynamics of an anisotropic two-qubit Heisenberg XYZ model in the presence of a x-projection external magnetic field are investigated in this paper. We use local quantum-Fisher information (LQFI), and log-negativity, and local quantum-uncertainty (LQU) to analyze the generated quantum correlation dynamics. Using the associated parameters, we demonstrate the successful generation of entanglement and quantum correlations beyond entanglement in the anisotropic spin-chain state. Certain values and ranges of anisotropy, external magnetic field, and spin coupling strength are proposed that can be used to achieve either a non-maximal or maximal quantum correlated state. The characterization of the spin-chain state by various parameters determines the dynamical patterns, degree, and preservation limits of the associated quantum correlations. Finally, the LQFI, LQU, and log-negativity functions’ robustness is highly dependent on their parameters, and they rarely agree on the degree of quantum correlations and dynamical patterns.

The work considers a qubit interacting off-resonantly a nonlinear Kerr-like quantum-harmonicoscillator cavity field through nonlinear intensity-dependent and one-photon interactions. The analytical solution for the master equation is obtained when the qubit starts with an excited pure state while the harmonic-oscillator field starts with a coherent state. The dynamics of the phase space Husimi-distribution and its Wehrl-Husimi entropy entanglement/mixedness is explored under the effects of the atom-field detuning, Kerr-like nonlinearity as well as atomic spontaneous-emission dissipation. For resonant case, the Wehrl-Husimi entropy qubit-oscillator entanglement and atomic mixedness are generated (due to the unitary nonlinear intensity-dependent evolution) with a regular oscillatory behavior. For off-resonant case, the quantum coherence is generated partially with a high-frequency irregular oscillatory behavior. The Kerrlike nonlinearity and the atomic spontaneous dissipation lead to enhancing the generated atomic mixedness Wehrl-Husimi entropy enhances and stabilizing the atomic state in a maximally mixed state. The phase space Husimi-distribution information dynamics of the corresponding the generated atomic mixed states confirms the vital link between the formed interference Husimi-distributions and the generated atomic Wehrl-Husimi entropy mixedness. It is found that the dynamics of the Husimi-distribution information and its Wehrl-Husimi entropy is highly sensitive to the qubit-cavity detuning, Kerr-like nonlinearity as well as the dissipation. INDEX TERMSMaster equation, Husimi-distribution, spontaneous decay.A.-B. A. MOHAMED received the M.S. and Ph.D. degrees in applied mathematics from Assiut University, Egypt. He has been a Professor of mathematics with Prince Sattam bin Abdulaziz University, Saudi Arabia, since 2018, and Assiut University, since 2019. His research interests include applied mathematics and mathematical physics, including different directions in quantum information and computation. A. ALMUTLG received the B.S. degree (Hons.