Ruderman-kittel-kasuya-yosida Exchange Navigates Entanglement With Time-Frozen Trajectories And Stabilized Boundaries

Entanglement, a cornerstone of future quantum technologies, presents a significant challenge in controlling its evolution over time, a problem Son-Hsien Chen from University of Taipei, Seng Ghee Tan from Chinese Culture University, and Ching-Ray Chang from Chung Yuan Christian University now address with a novel approach. The researchers demonstrate a scalable solid-state platform leveraging the Ruderman-Kittel-Kasuya-Yosida (RKKY) exchange interaction to precisely navigate entanglement dynamics, effectively creating programmable trajectories for quantum information. They introduce a concept called the exchange-time integral, which links the physical movement of qubits to the strength of their interaction, acting as a ‘clock’ to govern entanglement evolution. This work identifies and controls distinct entanglement behaviours, including ‘snake’, ‘bouncing’, ‘boundary-residing’, and ‘pulse’ trajectories, and importantly, incorporates a damping mechanism to stabilise these states, offering a robust framework for engineering entanglement with potential applications in quantum computation, cryptography, and precision measurement.

RKKY Exchange Manipulates Entanglement Trajectories

Scientists are exploring new ways to control entanglement, a fundamental phenomenon in quantum technologies. This work investigates manipulating entanglement using Ruderman-Kittel-Kasuya-Yosida (RKKY) exchange interactions, revealing a range of time-frozen trajectories. The research demonstrates how entanglement can be guided into specific configurations, including snake-like, bouncing, boundary-residing, pulse-like, and damping-stabilized states. These trajectories arise from carefully controlling the RKKY interaction, allowing for sustained entanglement even when faced with environmental disturbances. The findings establish a pathway towards robust quantum information processing by harnessing the unique properties of RKKY-mediated entanglement and provide a means to engineer stable, long-lived quantum states.

Generating predictable trajectories in interacting quantum systems presents a significant challenge. This work proposes a scalable solid-state platform based on RKKY exchange, where two spin qubits couple to a central qudit that alters the spin polarization of surrounding electrons. The researchers introduce the exchange-time integral, which maps the spatial motion of the qubits to a time-dependent exchange interaction, providing a pathway towards implementing complex quantum algorithms. The platform leverages the unique properties of solid-state systems to achieve long coherence times and strong qubit coupling, essential for practical quantum computation. Furthermore, the exchange-time integral provides a novel method for characterising and optimising these interactions, paving the way for more efficient and robust quantum devices.

Quantum Coherence, Magnetism and Information Processing

A broad range of scientific publications focused on quantum physics and related fields has been compiled, heavily emphasizing quantum coherence and entanglement, condensed matter physics, and the application of quantum phenomena to information processing and computation. A significant number of papers also address spin physics, magnonics, and their potential for developing new quantum technologies. The list spans several decades, demonstrating a comprehensive overview of the field’s evolution.

The publications appear in high-impact journals such as Physical Review Letters, Physical Review B, Nature Physics, Nature, Scientific Reports, and New Journal of Physics. Certain authors appear repeatedly, indicating their prominence as leading researchers in these areas. The topics covered include fundamental quantum mechanics, condensed matter physics, quantum information and computation, spin physics and magnonics, quantum optics, quantum state manipulation, theoretical frameworks, and recent advances in the field.

Vibrational Control of Entanglement Trajectories Demonstrated

Researchers have demonstrated a novel solid-state platform for controlling entanglement dynamics, utilizing RKKY exchange interactions between spin qubits and a central qudit. The team introduced the exchange-time integral, a method that maps qubit motion to a time-dependent exchange interaction, effectively functioning as a “trajectory clock” for system evolution. By carefully manipulating vibrational motion, they achieved programmable entanglement trajectories, including snake, bouncing, boundary-residing, and pulse patterns, all near the entanglement-unentanglement boundary. The research reveals that the vibration phase significantly influences these trajectories, creating asymmetric shifts and enabling precise control over entanglement.

Furthermore, the study demonstrates that out-of-phase vibrations can drive entanglement trajectories away from the boundary, accessing larger entanglement values, although this requires a damping mechanism to stabilize the resulting trajectories. The framework developed offers a systematic approach to navigating and engineering entanglement, with potential applications in quantum computation, cryptography, and metrology.

👉 More information
🗞 Navigating entanglement via Ruderman-Kittel-Kasuya-Yosida exchange: Snake, bouncing, boundary-residing, pulse, and damping-stabilized time-frozen trajectories
🧠 ArXiv: https://arxiv.org/abs/2509.16751

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