吸引一维玻色气体的动力学：可积性的解析处理
Dynamics of the attractive 1D Bose gas: analytical treatment from integrability
摘要：
本文用基于系统可积性的方法研究了吸引一维玻色气体（Lieb-Liniger模型）的物理性质。结合粒子准动量在系统尺度上达到指数精度的知识，以及代数Bethe矩阵的局部算符矩阵元的行列式表示，我们得到了密度和场算符的零温动力学关联函数的较一般的解析结果.因此，我们的研究结果提供了定量的预测原子气体或光波导中可能的未来实验。
英文摘要：
The physics of the attractive one-dimensional Bose gas (Lieb-Liniger model) is investigated with techniques based on the integrability of the system. Combining a knowledge of particle quasi-momenta to exponential precision in the system size with determinant representations of matrix elements of local operators coming from the Algebraic Bethe Ansatz, we obtain rather general analytical results for the zero-temperature dynamical correlation functions of the density and field operators. Our results thus provide quantitative predictions for possible future experiments in atomic gases or optical waveguides.
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