Thermal Fisher and Wigner-Yanase information correlations in two-qubit Heisenberg XYZ chain

Using Wigner-Yanase and Fisher information [including local quantum uncertainty (LQU) and local quantum Fisher information (LQFI)] as well as log-negativity, we investigate the thermal non-local correlations of two-qubit Heisenberg XYZ non-X states produced in the presence of the Dzyaloshinskii-Moriya (DM) interaction. The two-spin XYZ-Heisenberg non-local correlation decay can be weakened by increasing the DM interaction as well as the spin-spin XYZ-Heisenberg interactions. The LQFI correlation has greater resistance to thermal degradation. The spin-spin y-component antiferromagnetic coupling has a higher ability to protect the generated spin-spin nonlocal correlations against high temperatures. The emergence of the phenomena of the sudden death of log-negativity and the sudden change of the LQFI and LQU depend on the spin-spin XYZ-Heisenberg and DM interactions as well as on the bath temperature. The generated asymmetric correlations resulting due to the x, y-component spin interactions confirm that the antiferromagnetic coupling has a high ability to generate a maximally correlated two-qubit state. While the generated correlations, due to two-spin z-component interaction, present symmetric dynamics, and its amount depends on the x-component spin interaction.

Automated summary

Using Wigner-Yanase and Fisher information, we investigate the thermal non-local correlations of two-qubit Heisenberg XYZ non-X states in the presence of the Dzyaloshinskii-Moriya (DM) interaction. The decay of the XYZ-Heisenberg non-local correlation can be weakened by increasing the DM interaction and the spin-spin XYZ-Heisenberg interactions. The LQFI correlation shows greater resistance to thermal degradation and the y-component antiferromagnetic coupling protects the nonlocal correlations against high temperatures.