Thermal behavior of two-nanowire-qubits states: Local quantum Fisher information and local quantum uncertainty

This study investigates the generation and robustness of thermal nanowire quantum correlations (NWQCs) within a 2D electron gas system in an InAs quantum nanowire. The system is with a parabolic harmonic confinement potential, a perpendicular magnetic field, Rashba spin–orbit (RSO) coupling, and an external electric field. Using local quantum Fisher information (LQFI), local quantum uncertainty (LQU), and logarithmic negativity, the thermal quantum correlations are studied to account for Rashba spin–orbit coupling and magnetic field effects in both the absence and presence of external electric fields. It is found that enhancing thermal nanowire quantum correlations (NWQCs) can be achieved by reducing Rashba spin–orbit coupling and the strengths of external magnetic and electric fields. In our study, we investigate how Rashba spin–orbit coupling and external magnetic and electric fields affect the thermal nanowire quantum correlations generated at a given bath temperature. Furthermore, decreasing the couplings of the RSO interaction, magnetic field, or electric field reduces the thermal NWQCs’ dependence on each of these factors. The results show that the intensity of the external magnetic field and Rashba spin–orbit interaction control the symmetric dependence of thermal nanowire quantum correlations on the electric field coupling.