论文标题
在有限温度下的一维气体中的移动杂质
Mobile impurity in a one-dimensional gas at finite temperatures
论文作者
论文摘要
我们考虑了自由费米斯与单个杂质相互作用的一维气体的McGuire模型。我们计算有限温度下杂质的静态一体功能和动量分布。结果涉及弗雷德霍尔姆决定因素的平均值，即我们使用有效的形式方法进一步分析。通过这种方法，我们得出了一体函数的大距离行为，该函数采用了平均指数衰减的形式。这种方法使我们能够研究杂质动量分布的小动量的实验重要方案。我们还考虑短距离的一身函数，并计算有限温度棕褐色的接触。
We consider the McGuire model of a one-dimensional gas of free fermions interacting with a single impurity. We compute the static one-body function and momentum distribution of the impurity at finite temperatures. The results involve averages over Fredholm determinants that we further analyse using the effective form factors approach. With this approach, we derive the large-distance behaviour of the one-body function, which takes the form of an averaged exponential decay. This method allows us to study an experimentally important regime of small momenta of the impurity's momentum distribution. We also consider the one-body function at short distances and compute finite temperature Tan's contact.
