AI 中文总结
该研究推导了一维量子自旋系统中可浓缩多体纠缠（CE）与量子相变的解析对应关系，经数值验证后确立CE为无需特定模型序参量的实验可及量子相变探针。
AI 中文摘要
我们推导了一维量子自旋系统中可浓缩多体纠缠（CE）与量子相变之间的解析对应关系。我们证明，CE与广义序参量具有相同的解析结构，能识别相同的量子相；对于高斯基态，CE完全由相同的单粒子关联矩阵决定。对横场伊辛模型和广义簇伊辛模型的数值验证，证实了这些针对对称性破缺和对称性保护的拓扑量子相变的解析预测。由于CE可通过常深度并行SWAP测试电路直接测量，我们的结果确立了CE作为一种实验可及、与模型无关的量子相变探针，无需特定模型的序参量。
英文摘要
We derive an analytic correspondence between multipartite concentratable entanglement (CE) and quantum phase transitions in one-dimensional quantum spin systems. We prove that CE shares the same analyticity structure as generalized order parameters, identifies the same quantum phases, and, for Gaussian ground states, is completely determined by the same single-particle correlation matrix. Numerical validation on the transverse-field Ising and generalized cluster-Ising models confirms these analytical predictions for both symmetry-breaking and symmetry-protected topological quantum phase transitions. Since CE can be measured directly using a constant-depth parallelized SWAP-test circuit, our results establish CE as an experimentally accessible, model-independent probe of quantum phase transitions without requiring model-specific order parameters.
Comments8 pages, 1 figure
