论文标题
关于排斥相互作用对Luttinger-SY模型中Bose-Einstein凝结的影响
On the effect of repulsive interactions on Bose-Einstein condensation in the Luttinger-Sy model
论文作者
论文摘要
在本文中，我们研究了排斥对相互作用对良好的随机一维系统在阳性温度下称为Luttinger-Sy模型的效果。我们分别研究硬核的相互作用以及一类更一般的排斥相互作用，还允许在热力学极限中缩放某些相互作用参数。作为主要结果，我们在两种情况下都证明，对于足够强的相互作用，非相互作用的单粒子Luttinger-sy Hamiltonian以及任何足够局部的单粒子状态的所有特征状态几乎肯定都不宏观地占据。
In this paper we investigate the effect of repulsive pair interactions on Bose-Einstein condensation in a well-established random one-dimensional system known as the Luttinger-Sy model at positive temperature. We study separately hard core interactions as well as a class of more general repulsive interactions, also allowing for a scaling of certain interaction parameters in the thermodynamic limit. As a main result, we prove in both cases that for sufficiently strong interactions all eigenstates of the non-interacting one-particle Luttinger-Sy Hamiltonian as well as any sufficiently localized one-particle state are almost surely not macroscopically occupied.
