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arXiv 1505.03099cond-mat.quant-gascond-mat.str-elquant-ph
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含超冷镝原子的双层分数量子霍尔态

Bilayer fractional quantum Hall states with ultracold dysprosium

Norman Y. Yao, Steven D. Bennett, Chris R. Laumann, Benjamin L. Lev, Alexey V. Gorshkov

摘要:

我们展示了如何利用光晶格中镝原子间的偶极相互作用获得分数量子霍尔态。在我们的方法中,镝原子被困在一个深光晶格中的每个网站一个原子可以忽略不计的隧道。微波和空间相关的光修整场用于定义每个原子中的有效自旋1/2或自旋1自由度。将自旋为1/2的粒子视为核心玻色子,偶极-偶极相互作用产生玻色子跳跃、陈数为1的拓扑平坦带和ν= 1/2的劳克林态。将自旋为1的粒子视为两组分的硬核玻色子,偶极-偶极相互作用再次产生玻色子跳跃、陈数为2的拓扑平坦带和双层Halperin(2,2,1)态。通过调节光场,我们得到了(2,2,1)态与超流态竞争的相图。固态磁偶极子的推广进行了讨论。

英文摘要:

We show how dipolar interactions between dysprosium atoms in an optical lattice can be used to obtain fractional quantum Hall states. In our approach, dysprosium atoms are trapped one atom per site in a deep optical lattice with negligible tunneling. Microwave and spatially dependent optical dressing fields are used to define an effective spin-1/2 or spin-1 degree of freedom in each atom. Thinking of spin-1/2 particles as hardcore bosons, dipole-dipole interactions give rise to boson hopping, topological flat bands with Chern number 1, and the ν= 1/2 Laughlin state. Thinking of spin-1 particles as two-component hardcore bosons, dipole-dipole interactions again give rise to boson hopping, topological flat bands with Chern number 2, and the bilayer Halperin (2,2,1) state. By adjusting the optical fields, we find a phase diagram, in which the (2,2,1) state competes with superfluidity. Generalizations to solid-state magnetic dipoles are discussed.

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