Abstract
In this paper, we analyze the dynamics of non-local correlations (NLCs) in an anisotropic two-qubit Heisenberg XYZ model under the effect of the phase damping. An analytical solution is obtained by applying a method based on the eigenstates and the eigenvalues of the Hamiltonian. It is observed that the generated NLCs are controlled by the Dzyaloshinskii–Moriya interaction, the purity indicator, the interaction with the environment, and the anisotropy. Furthermore, it is found that the quantum correlations, as well as the sudden death and sudden birth phenomena, depend on the considered physical parameters. In particular, the system presents a special correlation: the skew-information correlation. The log-negativity and the uncertainty-induced non-locality exhibit the sudden-change behavior. The purity of the initial states plays a crucial role on the generated nonlocal correlations. These correlations are sensitive to the DM interaction, anisotropy, and phase damping.
Highlights
The recent growth of the quantum technology has promulgated the preservation of the quantum correlation to become a central problem [1,2,3,4,5]
We have studied the nonlocal correlation dynamics of two qubits in anisotropic Heisenberg model with Dzyaloshinskii–Moriya interaction via the log-negativity, Bell function, local quantum uncertainty, and uncertainty-induced non-locality
We consider the coupling of DM interaction, the coupling to the environment, and the anisotropy
Summary
The recent growth of the quantum technology has promulgated the preservation of the quantum correlation to become a central problem [1,2,3,4,5]. The definitions of NLC measures were mainly on the Hilbert–Schmidt norm (2-norm), the skew information theory, and trace norm [11] These definitions were exalting new types of the NLCs beyond the quantum entanglement (QE), which have generated many investigations [12,13]. We investigate the non-local correlations for two-qubit Heisenberg XYZ chain that includes a virtual spin Dzyaloshinskii–Moriya interaction, which results from the Anderson’s superexchange interaction. Our study is conducted with new NLC quantifiers based on the skew information theory (LQU and UIN) and Bell’s inequality. The type of initial state manipulates the unitary interaction between the two qubits
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
