AI 中文总结
该研究针对Kitaev蜂窝模型，通过推导Pauli串与巡游Majorana算符的对应关系，计算稳定子Rényi熵以探究量子自旋液体的魔力，揭示了魔力在不同相中的特性及拓扑相变处的普适标度行为。
AI 中文摘要
量子自旋液体（QSLs）是具有长程纠缠的物质相，为探究量子关联如何产生量子复杂性提供了天然场景。鉴于魔力（magic，或非稳定子性）作为超越纠缠的多体复杂性诊断指标的出现，我们通过计算Kitaev蜂窝模型的稳定子Rényi熵（SRE）来研究QSLs的魔力。我们在该模型的自由费米子描述中，推导了Pauli串与巡游Majorana算符乘积之间的对应关系，这使得利用优化算法对数千自旋系统的高斯态进行SRE采样成为可能。结果表明，魔力在无隙相中最大，其中次领先的体积律修正表明存在非局域贡献；在有隙相中，SRE减小，与我们在各向异性极限下推导的微扰展开定量一致；在拓扑相变点，SRE呈现由临界指数决定的普适标度行为。
英文摘要
Quantum spin liquids (QSLs) are long-range entangled phases of matter and a natural setting for exploring how quantum correlations generate quantum complexity. Motivated by the emergence of magic, or nonstabilizerness, as a diagnostic of many-body complexity beyond entanglement, we study magic of QSLs by computing the stabilizer Rényi entropy (SRE) of the Kitaev honeycomb model. We derive a correspondence between Pauli strings and products of itinerant Majorana operators in the model's free-fermion description; this enables the sampling of SRE using an optimized algorithm for Gaussian states in systems with thousands of spins. Our results show that magic is largest in the gapless phase, where subleading volume-law corrections indicate nonlocal contributions, while in the gapped phases, SRE decreases in quantitative agreement with a perturbative expansion that we develop in the anisotropic limit. At the topological phase transition, SRE exhibits universal scaling dictated by critical exponents.
Comments34 pages, 10 figures
