论文标题
在有限温度下，Tonks-Girardeau气体的确切光谱函数
Exact spectral function of the Tonks-Girardeau gas at finite temperature
论文作者
论文摘要
我们报告了在晶格和连续体中，绿色功能和光谱函数的确定性表示的推导。我们的结果对于在零和有限温度和任意限制电势的任何类型的组成粒子的统计数据中都是有效的，包括外部电位突然变化引起的非平衡场景。此外，它们也非常有效且易于在数值上实现，主要计算工作以动态演化的单个粒子波源的部分重叠来表示。在晶格情况下，我们表明具有强谐势的系统的光谱函数仅显示两条单数线，而在同质系统的情况下，与三个单数线相比。
We report on the derivation of determinant representations for the Green's functions and spectral function of the trapped Tonks-Girardeau gas on the lattice and in the continuum. Our results are valid for any type of statistics of the constituent particles, at zero and finite temperature and arbitrary confining potentials, including nonequilibrium scenarios induced by sudden changes of the external potential. In addition, they are also extremely efficient and easy to implement numerically with the main computational effort being represented by the calculation of partial overlaps of the dynamically evolved single particle wavefunctions. In the lattice case we show that the spectral function of a system with a strong harmonic potential presents only two singular lines compared with three singular lines in the case of a homogeneous system.
