论文标题
一维玻璃气的确切光谱函数
Exact Spectral Function of One-Dimensional Bose Gases
论文作者
论文摘要
精确解决的模型对强相关系统中的多体现象提供了严格的理解。在本文中，我们报告了发现量子可集成的利比尼格模型的通用多体相关性能的突破。我们通过通过新开发的方法计算形式来准确计算动态相关函数，通过该方法，我们能够以高精度计算基于基态或有限温度状态的所有可能的“相对激发”。因此，为该模型获得的全光谱函数表现出在光谱阈值下的独特幂律奇异行为，从而证实了非线性Luttinger液体理论的有效性。我们的方法推进了动态相关函数的理论，其精度高于热力学极限，并且能够基准对这种新型相关性质的实验观察。
Exactly solved models provide rigorous understanding of many-body phenomena in strongly correlated systems. In this article, we report a breakthrough in uncovering universal many-body correlated properties of quantum integrable Lieb-Liniger model. We calculate exactly the dynamical correlation functions by computing the form factor through a newly developed method, by which we are capable of calculating all possible "relative excitations" over the ground state or a finite temperature state at a high precision. Consequently, full spectral functions obtained for the model manifests the unique power-law singularity behaviour at the spectral threshold, confirming the validity of nonlinear Luttinger liquid theory. Our method advances the theory of dynamical correlation functions with high precision towards the thermodynamic limit, and is capable of benchmarking experimental observation of such novel correlated properties.
