AI 中文总结
该研究针对SU(3)费米哈伯德模型，利用平均场理论计算其结构复杂性，发现其可关联纠缠熵且能敏感定位相边界，验证其为分析SU(N)量子气体显微镜输出的可靠工具。
AI 中文摘要
二维量子气体显微镜是利用超冷原子研究量子多体系统的独特工具。对于SU(2)费米哈伯德模型（FHM），自旋分辨投影测量的获取对量化关联函数和绘制相图至关重要。近期超冷碱土金属原子实验的量子气体显微镜进展表明，这类系统可由SU(N)费米哈伯德模型很好地描述，且理论预测其存在奇异基态相，因此需要开发无理论依赖的数值技术以从投影测量中提取物理信息。为此，我们评估了正方晶格中1/3填充的SU(3)费米哈伯德模型快照的多尺度结构复杂性。我们采用平均场理论生成自旋分辨密度分布，并利用矩形粗粒化窗口计算其结构复杂性。我们证明这些复杂性与纠缠熵等相关物理可观测量存在关联，且对相边界的定位极为敏感。本文结果验证了结构复杂性作为分析SU(N)量子气体显微镜输出的高效可靠工具，其具备无理论依赖的特性，可直接应用于实验。
英文摘要
Two-dimensional quantum gas microscopy provides an unparalleled tool to study quantum many-body systems using ultracold atoms. For the SU(2) Fermi Hubbard model (FHM), access to spin-resolved projective measurements has been vital for quantifying correlation functions and mapping out the phase diagram. Recent progress in quantum gas microscopy for experiments with ultracold alkaline-earth atoms, which are well described by the SU(N) FHM and are predicted to host exotic ground-state phases, calls for the development of theory-free numerical techniques to extract physical information from their projective measurements. To that end, we evaluate the multiscale structural complexity of snapshots of an SU(3) FHM in the square lattice at $1/3$-filling. We employ mean-field theory to generate spin-resolved density distributions and compute their structural complexity using rectangular coarse-graining windows. We demonstrate that these complexities are linked to relevant physical observables such as the entanglement entropy, and are extremely sensitive for locating phase boundaries. The results presented here validate the structural complexity as an efficient and reliable tool for analyzing the outputs of SU(N) quantum gas microscopes, offering a theory-free property, immediately accessible to experiments.
Comments12 pages, 8 figures
