标题： 扭曲双层光晶格中的相互作用玻色气体 显示英文标题

标题： Interacting Bose gases in twisted-bilayer optical lattices

摘要： 最近的实验已经实现了扭曲双层光学晶格中的超冷气体。 我们表明，这些晶格中的相互作用玻色子呈现出高度非平凡的基态物理性质，这是由于层间和层内跃迁及相互作用之间的相互作用所导致的。 这种物理性质由位点簇化决定，我们通过开发一种专门定制的簇Gutzwiller方法正确地考虑了这一点。 簇化导致了多种不同的莫特类似相，这些相通常具有不同的簇占据情况，并且在它们之间出现了粒子可以自由移动的站点口袋，但这些口袋彼此之间是断开的。 这种特殊的相类似于众所周知的玻色玻璃相，即使在共轭扭曲角度下也可能出现，并且当扭曲不共轭时会进一步增强。 此外，在不共轭的情况下，仅由于层间相互作用，即使没有层间跃迁，也可能形成移动岛屿。 显示英文摘要

摘要： Recent experiments have realized ultra-cold gases in twisted-bilayer optical lattices. We show that interacting bosons in these lattices present a highly non-trivial ground-state physics resulting from the interplay between inter- and intra-layer hopping and interactions. This physics is crucially determined by site clusterization, which we properly take into account by developing a specifically-tailored cluster Gutzwiller approach. Clusterization results in a large variety of different Mott-like phases characterized by typically different occupations of the clusters, and in the appearance of pockets of sites in between which particles can freely move, but which remain disconnected from each other. This peculiar phase, which resembles the well-known Bose glass phase, may occur even for commensurate twist angles and is further enhanced when the twisting is incommensurate. Moreover, in the incommensurate case, the formation of mobility islands may occur even without inter-layer hopping solely due to inter-layer interactions.