论文标题
磁量子步行的定位
Localization for magnetic quantum walks
论文作者
论文摘要
我们证明了Anderson的所有毒液频率和所有非共振相的定位,该模型由2D量子步行模型产生的模型受到外部磁场的影响。这是磁量子步行和准周期CMV设置中所有二磷频率的第一个定位结果。我们还获得了局部本征函数的尖锐渐近学。
We prove Anderson localization for all Diophantine frequencies and all non-resonant phases for a model that arises from 2D quantum walk model subject to an external magnetic field. This is the first localization result for all Diophantine frequencies in the magnetic quantum walk and the quasi-periodic CMV setting. We also obtain sharp asymptotics of the localized eigenfunctions.