均匀磁场中势阱输运的Berry相
Berry phase for a potential well transported in a homogeneous magnetic field
摘要：
考虑二维带电粒子$e$与垂直于平面的均匀磁场和沿平面内闭环输运的势阱的相互作用。我们表明，一个简单的孤立的本征值对应的束缚态获得在该Berry的相位等于$2π{\rm sgn} e$倍的通量量子数通过定向区域包围的循环。我们还认为，这是一个纯粹的量子效应，因为相应的汉内角为零。
英文摘要：
We consider a two-dimensional particle of charge $e$ interacting with a homogeneous magnetic field perpendicular to the plane and a potential well which is transported along a closed loop in the plane. We show that a bound state corresponding to a simple isolated eigenvalue acquires at that Berry's phase equal to $2π{\rm sgn} e$ times the number of flux quanta through the oriented area encircled by the loop. We also argue that this is a purely quantum effect since the corresponding Hannay angle is zero.
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