论文标题
SU（$ n $）费米金的精确单粒子密度矩阵以强烈的排斥极限
Exact one-particle density matrix for SU($N$) fermionic matter-waves in the strong repulsive limit
论文作者
论文摘要
我们考虑限制在环形电位中的排斥性$ n $组成费用的气体，但要受到有效的磁场。为了获得较大的排斥强度，我们制定了一个贝斯ANSATZ方案，以计算两点相关矩阵，然后计算一个粒子密度矩阵。我们的结果在有限但数量足够多的颗粒和系统大小的介观智管中保持不可能，而数字无法访问。我们访问系统的动量分布，并分析其相互作用，磁场和组件数量$ n $的特定依赖性。在冷原子的背景下，进行了相关矩阵的确切计算，以确定通过从环陷阱中释放冷原子产生的干扰模式。
We consider a gas of repulsive $N$-component fermions confined in a ring-shaped potential, subject to an effective magnetic field. For large repulsion strengths, we work out a Bethe ansatz scheme to compute the two-point correlation matrix and then the one-particle density matrix. Our results holds in the mesoscopic regime of finite but sufficiently large number of particles and system size that are not accessible by numerics. We access the momentum distribution of the system and analyse its specific dependence of interaction, magnetic field and number of components $N$. In the context of cold atoms, the exact computation of the correlation matrix to determine the interference patterns that are produced by releasing cold atoms from ring traps is carried out.
