AI 中文总结
本研究针对交换相互作用随二聚体位移变化的自旋-1/2海森堡二聚体，结合自旋严格处理与振动简谐描述，揭示磁弹性耦合可调控量子关联与磁场灵敏度，明确了耦合自旋二聚体中相关物理量的直接联系。
AI 中文摘要
我们研究磁弹性自旋-1/2海森堡二聚体的热力学与量子性质，其中交换相互作用取决于二聚体的位移。结合自旋部分的严格处理与振动自由度的简谐描述，我们得到一个有效模型，其中每个自旋构型对应不同的振动模式，产生不可因子化的配分函数。我们分析热行为，识别出对应纠缠态和完全极化态的区域。通过并发度（concurrence）和局域量子不确定性分析量子关联，结果显示，尽管纠缠会被温度快速抑制，但由于自旋部分的竞争，非经典关联在更宽的温度范围内持续存在。我们进一步研究磁费舍尔信息（magnetic Fisher information），它是系统对外磁场灵敏度的度量，其行为表明，在磁弹性效应诱导能级布居强重新分布的交叉区域，系统响应增强。我们的结果表明，磁弹性耦合在调控量子关联与磁响应中起核心作用，建立了耦合自旋二聚体系统中纠缠、非经典关联与热力学灵敏度之间的直接联系。
英文摘要
We investigate the thermodynamic and quantum properties of a magnetoelastic spin-1/2 Heisenberg dimer, where the exchange interaction depends on the dimer displacement. By combining an exact treatment of the spin sector with a harmonic description of the vibrational degree of freedom, we obtain an effective model in which each spin configuration is associated with a distinct vibrational mode, leading to a non-factorizable partition function. We analyze the thermal behavior and identify regimes corresponding to entangled and fully polarized states. Quantum correlations are analyzed through concurrence and local quantum uncertainty, showing that while entanglement is rapidly suppressed by temperature, nonclassical correlations persist over a broader range due to the competition between spin sectors. We further examine the magnetic Fisher information, which provides a measure of the sensitivity of the system to the external magnetic field. Its behavior reveals enhanced response in crossover regions where magnetoelastic effects induce strong redistribution of the level populations. Our results demonstrate that magnetoelastic coupling plays a central role in controlling both quantum correlations and magnetic response, establishing a direct link between entanglement, nonclassical correlations, and thermodynamic sensitivity in coupled spin-dimer systems.
Comments15 pages,7 figures
Journal refEur. Phys. J. Plus 141, 939 (2026)
DOI：10.1140/epjp/s13360-026-08164-9
