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International Journal of Theoretical Physics

Entanglement of a Nanowires System with Rashba Interaction

Rabie I. Mohamed, Manal G. Eldin, Mohammed R. Sakr, A. A. Ramadan, Mahmoud Abdel‐Aty

Published May 1, 2021• 4 citations
Publisher
DOI
10.1007/s10773-021-04755-7

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We present a theoretical examination of the fractional dynamics of information entropy within a semiconductor nanowire system influenced by Rashba spin–orbit interaction and external magnetic fields. Moreover, we determine the fractional nanowire state through the analytical solution of the fractional Schrödinger equation, considering various initial states of the nanowire system. Our research emphasizes the impact of the fractional order and the interaction parameters on the behavior of information entropy. Our findings reveal that the temporal behavior of information entropy is highly sensitive to any variations in the magnetic field length, the Rashba spin–orbit interaction, and the fractional order parameter. The results demonstrate that these parameters are pivotal in determining the coherence and correlation properties of the nanowire system. Therefore, precise control of these factors paves the way for enhancing entanglement performance and facilitating information transfer in spintronic and quantum communication applications.
Abstract The dynamics of quantum correlations, steerability, and the coherence of the evolution of a fractional nanowire state are analyzed for a system comprising two electrons interacting with an orbital-spin system through Rashba interaction. The results reveal that the initial state configuration and fractional order act as effective control parameters for enhancing these physical quantities. Preparing the electronic system in an entangled state and the orbital system in an excited state ensures sustained quantum correlations during time evolution. For small fractional order values, the upper bounds of steerability are increased, although the time for steering to decay is shortened. The influence of magnetic field strength, spin–orbit coupling, and confinement potential parameters on improving these measures depends on whether the orbital system is initially prepared in an excited state or a vacuum state.