标题： $\mathbb R^d$ 中泊松随机外部势中具有排斥短程对相互作用的粒子的 Bose-Einstein 凝聚态 显示英文标题

标题： Bose--Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in $\mathbb R^d$

摘要： 我们研究了处于正温度下、正则系综中且在热力学极限下的$d$维玻色气体，$d \ge 2$，它们具有短程排斥的二体相互作用。我们假设存在硬的泊松障碍物，并专注于非渗透性区域。 对于足够强的粒子间相互作用，我们证明几乎可以肯定不存在凝聚到一个充分局域化且归一化的单粒子态中的玻色-爱因斯坦凝聚。这些结果适用于底层单粒子哈密顿量的本征态。 显示英文摘要

摘要： We study Bose gases in $d$ dimensions, $d \ge 2$, with short-range repulsive pair interactions, at positive temperature, in the canonical ensemble and in the thermodynamic limit. We assume the presence of hard Poissonian obstacles and focus on the non-percolation regime. For sufficiently strong interparticle interactions, we show that almost surely there cannot be Bose--Einstein condensation into a sufficiently localized, normalized one-particle state. The results apply to the eigenstates of the underlying one-particle Hamiltonian.