局域相和扩展相的共存：谐波势阱中的多体局域化
Coexistence of localized and extended phases: Many-body localization in a harmonic trap
摘要：
我们表明，谐波陷阱的存在本身可能会导致多体局域化的冷原子限制在该陷阱中的准一维几何。具体地说，离域相的共存在中心的陷阱与本地化的区域更接近的边缘预测的边界线依赖于陷阱的曲率。这种现象，在其起源类似斯塔克本地化，应直接观察到冷原子物种。我们讨论了无自旋和有自旋的费米子，对于后者，我们同时讨论了斯塔克局域化，因为它到目前为止还没有被分析过。
英文摘要：
We show that the presence of a harmonic trap may in itself lead to many-body localization for cold atoms confined in that trap in a quasi-one-dimensional geometry. Specifically, the coexistence of delocalized phase in the center of the trap with localized region closer to the edges is predicted with the borderline dependent on the curvature of the trap. The phenomenon, similar in its origin to Stark localization, should be directly observed with cold atomic species. We discuss both the spinless and the spinful fermions, for the latter we address Stark localization at the same time as it has not been analyzed up till now.
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