Trace-norm correlation beyond entanglement in InAs nanowire system with spin–orbit interaction and external electric field

A new analytical description is obtained for a ballistic quantum wire under Rashba spin–orbit mechanism with a magnetic field. The system is also analyzed for two different cases, one with and the other without an external electric field. The measurement-induced nonlocality based on trace norm (trace-norm MIN) and concurrence are employed in order to witness different quantum correlations of the electron-harmonic system beyond quantum entanglement. The robustness and stability of the initial maximal correlation are explored. It is shown that the generation and enhancement of quantum correlations can be controlled for particular external electric fields. Furthermore, this study shows that the correlations of trace-norm MIN always present independently of the existence of the magnetic field and the external electric field. The external electric field reduces the effect of the interaction of the electron-harmonic system; therefore, it leads to the conservation of the initial quantum correlations.