发表机构
Institute for Theoretical Physics, University of Göttingen（哥廷根大学理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究建立一维谐振链量子能量隐形传态的有限温度高斯态形式，推导零温临界极限下提取能量的渐近律，分析压缩高斯测量对提取能量的影响，明确其热筛选与临界标度特性。
AI 中文摘要
我们建立了一维谐振链中量子能量隐形传态的有限温度高斯态形式。对于吉布斯态，优化后的测量反馈协议简化为热两点函数。在单位点协议中，提取的能量由单个关联函数决定，这使得热力学极限和近临界极限在解析上易于处理。在固定有限温度下，对于临界和非临界α，提取的能量随距离呈指数筛选，并由热关联长度控制。在热力学极限之后取零温度临界极限时，我们推导得到精确渐近律E_ext∼d⁻⁴。数值结果证实了这两种区域，并解决了导致中间距离处有效衰减指数表观漂移的交叉问题。我们还分析了压缩高斯测量，表明它们会改变提取的 prefactor：p-压缩会增强提取的能量，而q-压缩会抑制它，且不改变大距离标度。
英文摘要
We develop a finite-temperature Gaussian-state formulation of quantum energy teleportation in the one-dimensional harmonic chain. For Gibbs states, the optimized measurement-feedback protocol reduces to thermal two-point functions. In the single-site protocol, the extracted energy is governed by a single correlator, which makes the thermodynamic and near-critical limits analytically tractable. At fixed finite temperature, the extracted energy is exponentially screened with distance and is controlled by a thermal correlation length for both critical and non-critical $α$. In the zero-temperature critical limit taken after the thermodynamic limit, we derive the exact asymptotic law $E_{\mathrm{ext}}\sim d^{-4}$. Numerical results confirm both regimes and resolve the crossover responsible for the apparent drift of the effective decay exponent at intermediate distances. We also analyze squeezed Gaussian measurements and show that they modify the extraction prefactor: $p-$squeezing enhances the extracted energy, whereas $q-$squeezing suppresses it, without changing the large-distance scaling.
Comments(8.5 + 8.5) pages, 6+1 figures
Journal refPhys. Rev. A 114, 032433 (2026)
