从费米-哈伯德模型的射频谱中的范霍夫奇点提取配对能隙
Extracting the pairing gap from van Hove singularities in rf spectra of the Fermi Hubbard model
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中文总结 AI 辅助
该研究提出利用三维费米-哈伯德模型射频谱的范霍夫奇点提取配对能隙，通过分类奇点、建立其与Δ和μ的代数关系，结合数值模拟验证了方法的可靠性，为量子模拟系统的配对诊断提供了实用手段。
中文摘要 AI 辅助
我们证明，三维吸引型费米-哈伯德模型的射频谱中的范霍夫奇点（van Hove singularities）为提取配对能隙提供了一种可靠途径。我们对四类奇点进行了分类，表明它们的谱位置仅通过简单代数关系依赖于配对能隙Δ和化学势μ。因此，测量两个分辨良好的奇点即可确定这两个参数，无需进行完整的谱拟合。结合唯象寿命和散射展宽的数值模拟证实，这些特征在动量积分和k_z积分谱中均保持可见，且在强耦合下更为显著，而传统的后弯曲方法在此区域会失去灵敏度。在半填充时，粒子-空穴对称性确定了μ，使提取简化为单次奇点测量。这些结果确立了范霍夫奇点分析作为量子模拟三维费米-哈伯德系统中配对的实用谱学诊断方法。
英文摘要
We show that van Hove singularities in rf spectra of the 3D attractive Fermi Hubbard model provide a robust route to extracting the pairing gap. Four types of singularities are classified, and their spectral positions are shown to depend solely on the pairing gap $Δ$ and chemical potential $μ$ through simple algebraic relations. Measuring two well-resolved singularities therefore determines both parameters without requiring full spectral fitting. Numerical simulations incorporating phenomenological lifetime and scattering broadenings confirm that these features remain visible in both momentum-integrated and $k_z$-integrated spectra, and become more pronounced at stronger coupling where conventional back-bending methods lose sensitivity. At half filling, particle-hole symmetry fixes $μ$, reducing the extraction to a single singularity measurement. These results establish vHS analysis as a practical spectroscopic diagnostic for pairing in quantum-simulated 3D Fermi Hubbard systems.
