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Journal of the Optical Society of America B

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

A.‐B. A. Mohamed, Ali H. Homid, Mahmoud Abdel‐Aty, Hichem Eleuch

Published Mar 12, 2019• 13 citations
Publisher

Abstract

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.

DOI
10.1364/josab.36.000926

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In this work, we demonstrate that the thermal nonclassical correlations can enhance and become more stable under the magnetic field and second-order spin–orbit interaction effect. Also, we show that the local quantum uncertainty measure can reveal purely quantum correlations beyond other quantifiers of correlations. Our analytical model describes a Heisenberg XYZ two-spin system with an inhomogeneous magnetic field and spin–orbit interaction. A special emphasis is devoted to local quantum uncertainty, concurrence, and Bell-nonlocality measures to investigate the correlations of the bipartite-system at the equilibrium temperature. Our results indicate that temperature, magnetic field, and magnetic field inhomogeneity with DMI and Kaplan–Shekhtman–Entin-Wohlman–Aharony (KSEA) exchanges all play a role in determining the degree of correlation between the quantum spins to some extent. The KSEA interaction greatly enhances the quantum correlation in the system whereas quantum quantifiers are more stable under the influence of the external magnetic field, especially when inhomogeneous and homogeneous magnetic field are near to zero. Furthermore, these findings suggest that the thermal LQU captures a stronger quantum correlation than the Bell-nonlocality and entanglement measures.
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In this work, we study the thermal quantum coherence and fidelity in a two-level system with spin-orbit coupling. The proposed model involves a single electron in a double quantum dot with Rashba spin-orbit coupling in the presence of an external magnetic field. In our scenario, the thermal entanglement of the single electron is driven by the charge and spin qubits, the latter controlled by Rashba coupling. Analytical expressions are obtained for thermal concurrence and correlated coherence using the density matrix formalism. The main goal of this work is to provide a good understanding of the effects of temperature and several parameters in quantum coherence. In addition, our findings show that we can use the Rashba coupling to tune the thermal entanglement, quantum coherence, and the thermal fidelity behavior of the system. Moreover, we focus on the role played by thermal entanglement and correlated coherence responsible for quantum correlations. We observe that the correlated coherence is more robust than the thermal entanglement in all cases, so quantum algorithms based only on correlated coherence may be stronger than those based on entanglement.