论文标题
在合成厅缸上定位
Localization on a synthetic Hall cylinder
论文作者
论文摘要
通过工程激光原子的相互作用，Hall Rielbons和Hall气缸都是凝结物理学中基本理论工具的基本工具，最近在实验室中综合了。在这里，我们表明将合成的厅丝带变成合成的大厅缸自然会导致定位。与霍尔丝带不同，霍尔缸具有一个固有的晶格，这是由于方位角沿方向的周期性边界条件而产生的，此外还由额外的激光器施加的外部周期性电势。当这两个晶格是不协调的时，可能会在合成霍尔缸上进行定位。在定位范围的转变附近，物理可观察到对轴向磁通量的依赖性使我们能够解决确定非理性数字合理近似准确性的基本问题。在非理性的极限中，物理可观察物不再受轴向通量波动的影响。
By engineering laser-atom interactions, both Hall ribbons and Hall cylinders as fundamental theoretical tools in condensed matter physics have recently been synthesized in laboratories. Here, we show that turning a synthetic Hall ribbon into a synthetic Hall cylinder could naturally lead to localization. Unlike a Hall ribbon, a Hall cylinder hosts an intrinsic lattice, which arises due to the periodic boundary condition in the azimuthal direction, in addition to the external periodic potential imposed by extra lasers. When these two lattices are incommensurate, localization may occur on a synthetic Hall cylinder. Near the localization-delocalization transitions, the dependence of physical observables on the axial magnetic flux allows us to tackle a fundamental question of determining the accuracy of rational approximation of irrational numbers. In the irrational limit, physical observables are no longer affected by fluctuations of the axial flux.
