近日，中国科学院精密测量科学与技术创新研究院管习文团队研究了一维玻色气体的精确谱函数。相关论文发表在2025年7月21日出版的《国家科学评论》杂志上。

精确求解的模型提供了对强相关系统中多体现象的严格理解。

研究组报道了在揭示量子可积利布-利尼格模型的普遍多体相关性质方面的一个突破。研究组通过一种新开发的计算形式因子的方法精确地计算出动力相关函数，通过这种方法研究组能够计算出所有可能的相对激励。在基态或有限温度状态下以高精度测量。因此，该模型的全谱函数在谱阈值处表现出独特的幂律奇异性，证实了非线性Luttinger液体理论的有效性。该方法将高精度的动力相关函数理论向热力学极限推进，并能够对这种新的相关性质进行基准实验观察。

附：英文原文

Title: Exact Spectral Function of One-Dimensional Bose Gases

Author: Cheng, Song, Chen, Yang-Yang, Guan, Xi-Wen, Yang, Wen-Li, Mondaini, Rubem, Lin, Hai-Qing

Issue&Volume: 2025-07-21

Abstract: 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.

DOI: 10.1093/nsr/nwaf294

Source: https://dx.doi.org/10.1093/nsr/nwaf294