双组分超冷玻色-爱因斯坦凝聚体中的选择性末态谱和多重分形：数值研究
Selective final state spectroscopy and multifractality in two-component ultracold Bose-Einstein condensates: a numerical study
摘要：
我们建议使用Volchkov等人介绍的方法，基于态相关无序超冷玻色子，讨论了安德森局域化跃迁迁移率边缘的临界态，并观察了其有趣的多重分形结构。一个最佳设计的外部射频脉冲可以应用于产生过渡到本征态在一个狭窄的能量窗口接近的迁移率边缘，临界缩放和多重分形出现。双光子激光扫描显微镜将被用来解决个别本地化状态，甚至接近过渡。云的投影图像继承多重分形，并显示普遍的密度相关性。飞行时间的图像的激发态预测显示在本地化阶段的干涉条纹，而它们允许一个映射等能量表面深的金属相。
英文摘要：
We propose to use the method introduced by Volchkov et al., based on state dependent disordered ultracold bosons, to address the critical state at the mobility edge of the Anderson localization transition, and to observe its intriguing multifractal structure. An optimally designed external radio frequency pulse can be applied to generate transitions to eigenstates in a narrow energy window close to the mobility edge, where critical scaling and multifractality emerge. Two-photon laser scanning microscopy will be used to address individual localized states even close to the transition. The projected image of the cloud is shown to inherit multifractality and to display universal density correlations. Time of flight images of the excited states are predicted to show interference fringes in the localized phase, while they allow one to map equal energy surfaces deep in the metallic phase.
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