蜂窝晶格上的合成磁通量
Synthetic magnetic fluxes on the honeycomb lattice
摘要:
我们设计的实验方案能够模拟均匀和交错的磁通量作用于超冷双电子原子,如镱原子,在蜂窝晶格中传播。原子首先被捕获到两个独立的状态选择三角晶格,并进一步暴露于共振拉曼激光束的合适配置。这些光束在两个三角晶格之间产生跳跃,使原子在蜂窝晶格中运动。原子在蜂窝晶格的每个晶胞中运动时,会获得一个非零相位。在均匀情况下,每个细胞维持的人工磁通量可以达到大约两个通量量子,从而实现了具有臭名昭著的霍夫施塔特蝴蝶结构的哈珀模型的冷原子模拟。不同的凝聚态现象,如相对论整数和分数量子霍尔效应,如在石墨烯样品中观察到的,可以用这个方案作为目标。
英文摘要:
We devise experimental schemes able to mimic uniform and staggered magnetic fluxes acting on ultracold two-electron atoms, such as ytterbium atoms, propagating in a honeycomb lattice. The atoms are first trapped into two independent state-selective triangular lattices and are further exposed to a suitable configuration of resonant Raman laser beams. These beams induce hops between the two triangular lattices and make atoms move in a honeycomb lattice. Atoms traveling around each unit cell of this honeycomb lattice pick up a nonzero phase. In the uniform case, the artificial magnetic flux sustained by each cell can reach about two flux quanta, thereby realizing a cold atom analogue of the Harper model with its notorious Hofstadter's butterfly structure. Different condensed-matter phenomena such as the relativistic integer and fractional quantum Hall effects, as observed in graphene samples, could be targeted with this scheme.
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