利用光通量晶格达到分数量子霍尔态
Reaching Fractional Quantum Hall States with Optical Flux Lattices
摘要:
我们提出了一个强有力的方案,通过它可以实现超冷原子气体玻色子的分数量子霍尔态。我们描述了一种新的光通量格,适用于常用的原子物种与基态角动量$J_g = 1$,其最低能带是拓扑的,几乎没有色散。通过精确对角化研究,我们发现,即使是适度的相互作用,多体基态由玻色子分数量子霍尔态,包括Laughlin状态和摩尔-里德(Pfalan)状态。在现实条件下,这些阶段被证明具有比超冷气体中可实现的温度范围更大的能隙。
英文摘要:
We present a robust scheme by which fractional quantum Hall states of bosons can be achieved for ultracold atomic gases. We describe a new form of optical flux lattice, suitable for commonly used atomic species with groundstate angular momentum $J_g = 1$, for which the lowest energy band is topological and nearly dispersionless. Through exact diagonalization studies, we show that, even for moderate interactions, the many-body groundstates consist of bosonic fractional quantum Hall states, including the Laughlin state and the Moore-Read (Pfaffian) state. Under realistic conditions, these phases are shown to have energy gaps that are larger than temperature scales achievable in ultracold gases.
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