论文标题
双孔电势中的非互操作捕获的费米斯：倒置抛物线内核
Noninteracting trapped Fermions in double-well potentials: inverted parabola kernel
论文作者
论文摘要
我们在一个维度上研究了$ n $非互动无旋转费的系统。当费米能量接近电位在其局部最大值处的势值时，我们表明物理特性（例如平均密度和费米子位置相关函数）显示出一种普遍的行为，仅取决于电势的局部特性附近的最大值。这种行为描述了两种费米气体的合并，它们在足够低的费米能量下是不相交的。我们用分析进行计算的新相关内核来描述这种行为，并将其称为倒置的抛物线内核。较高的空间尺寸。
We study a system of $N$ noninteracting spinless fermions in a confining, double-well potential in one dimension. When the Fermi energy is close to the value of the potential at its local maximum we show that physical properties, such as the average density and the fermion position correlation functions, display a universal behavior that depends only on the local properties of the potential near its maximum. This behavior describes the merging of two Fermi gases, which are disjoint at sufficiently low Fermi energies. We describe this behavior in terms of a new correlation kernel that we compute analytically and we call it the inverted parabola kernel". As an application, we calculate the mean and variance of the number of particles in an interval of size $2L$ centered around the position of the local maximum, for sufficiently small $L$. Finally, we discuss the possibility of observing our results in experiments, as well as the extensions to nonzero temperature and to higher space dimensions.
