论文标题
玻色子凝结物的基础态定位和离域化。
Localization and delocalization of ground states of Bose-Einstein condensates under disorder
论文作者
论文摘要
本文研究了Bose-Einstein在无序电位中凝结的定位行为，该行为是在有限的间隔内以毛刺毛虫特征值问题进行建模的。在弱粒子相互作用的状态下，我们能够根据统计参数和电势强度来量化基态的指数定位。数值研究进一步表明，如果我们离开确定的参数范围，这与实验数据一致。这些数学和数值发现允许预测在实验中可以观察到地面状态的物理相关方案。
This paper studies the localization behaviour of Bose-Einstein condensates in disorder potentials, modeled by a Gross-Pitaevskii eigenvalue problem on a bounded interval. In the regime of weak particle interaction, we are able to quantify exponential localization of the ground state, depending on statistical parameters and the strength of the potential. Numerical studies further show delocalization if we leave the identified parameter range, which is in agreement with experimental data. These mathematical and numerical findings allow the prediction of physically relevant regimes where localization of ground states may be observed experimentally.
