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Physica Scripta

Fractional Rashba-induced quantum correlations and their role in achieving steerability in nanowires

Rabie I. Mohamed, Mahmoud Youssef Abd‐Rabbou, NASSER METWALLY

Published Sep 26, 2025• 2 citations
Publisher

Abstract

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.

DOI
10.1088/1402-4896/ae0c6c

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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.
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This investigation delves into the dynamics of quantum correlations and coherence within a two-dimensional electron gas (2DEG) system, taking into account the influence of Rashba spin–orbit coupling (SOC). We utilize metrics such as logarithmic negativity ([Formula: see text]), local quantum uncertainty (LQU ([Formula: see text])), and relative entropy of coherence ([Formula: see text]) to specifically assess these quantum resources among electron spins within non-interacting electron gases. Our study investigates how the separation distance (R) between electrons and the intensity of Rashba SOC ([Formula: see text]), impact the behavior of quantum properties within the 2DEG system. We find that specific strengths of Rashba SOC can effectively regulate quantum correlations and coherence within this system. Particularly significant is our observation that optimal quantum indicators emerge when electron proximity is minimized, underscoring the substantial influence of electron distance on quantum characteristics. Conversely, as electron separation increases, these quantum metrics diminish. Therefore, by adjusting the Rashba parameter, we can enhance the resilience of these quantum measurements against increasing electron separations, providing valuable insights into the potential for controlling and manipulating quantum behavior in similar 2DEG systems.
We investigate quantum steering and nonlocal correlations between two electrons in a two-dimensional electron gas (2DEG) as functions of Rashba spin-orbit interaction (RSOI) strength and inter-electron separation. We focus particularly on the Bi/Ag(111) system characterized by its strong RSOI (α0=3.05×10−11α_0 = 3.05\times10^{-11}α0​=3.05×10−11 eV~m), and we explore the influence of tuning intensity of RSOI and inter-electron distance on the dynamics of Bell nonlocality, uncertainty-induced nonlocality and steering. We find that, although increasing αRα_RαR​ initially suppresses quantum correlations, all three metrics exhibit a non-monotonic recovery as functions of αRα_RαR​, peaking near an optimal coupling strength αR=4.32×10−11α_R = 4.32\times10^{-11}αR​=4.32×10−11~eV~m across the range of inter-electron separations considered. This finding establishes RSOI as a critical control parameter for stabilizing quantum properties in two-dimensional electron gases against the decay of quantum correlations with inter-electron separation, and shows that the suppression and recovery of quantum resources within the Bi/Ag(111) system can be controlled by adjusting the inter-electron distance and carefully tuning the RSOI strength.
We report on the first set of exact orthonormalized states to an ac driven one-dimensional (1D) two-electron nanowire quantum dot with the Rashba-Dresselhaus coexisted spin-orbit coupling (SOC) and the controlled magnetic field orientation and trapping frequency. In the ground state case, it is shown that the spatiotemporal evolutions of probability densities occupying internal spin states and the transfer rates between different spin states can be adjusted by the ac electric field and the intensities of SOC and magnetic field. Effects of the system parameters and initial-state-dependent constants on the mean entanglement are revealed, where the approximately maximal entanglement associated with the stronger SOC and its insensitivity to the initial and parametric perturbations are demonstrated numerically. A novel resonance transition mechanism is found, in which the ladder-like time-evolution process of expected energy and the transition time between two arbitrary exact states are controlled by the ac field strength. Using such maximally entangled exact states to encode qubits can render the qubit control more transparent and robust. The results could be extended to 2D case and to an array of two-electron quantum dots with weak neighboring coupling for quantum information processing.
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.
Abstract This research explores the progression of fractional time dynamics of quantum entanglement, nonclassical correlations, and quantum coherence C l 1 in a qubit-qutrit XXZ system through an in-depth analysis of the effects of the fractional parameter τ , the exchange interaction J , the XXZ exchange anisotropy δ , and the Dzyaloshinskii-Moriya interaction (DMI) D z , and the initial state. The results reveal that lower values of τ lead to a rapid and stable increase in quantum correlations (measured by logarithmic negativity, LN, and local quantum uncertainty (LQU) but cause a faster decay in coherence C l 1 , indicating a quick loss of quantum superposition. Conversely, higher values of τ slow the dynamics of correlations, allowing coherence to persist longer. The exchange strength J similarly influences stability: low J values promote fast correlation formation but reduce coherence stability, while high J values stabilize coherence at the expense of slower correlation growth. As for the XXZ anisotropy δ and DMI strength D z , lower values promote rapid quantum correlation development but compromise coherence. In contrast, higher values help sustain C l 1 over time, limiting the intensity of correlations. The initial state is also critical: an initially partially entangled state is more resilient to perturbations. It preserves correlations over time compared to a separable state, which exhibits cycles of entanglement creation and destruction. Thus, by tuning system parameters, it is possible to control the stability and duration of correlations and coherence, providing a framework for optimizing quantum systems in applications that require both strong entanglement and durable coherence, such as quantum computing and secure communication.