利用光辅助插入angular momentum制备原子团簇分数量子霍尔态
Creating fractional quantum Hall states with atomic clusters using light-assisted insertion of angular momentum
摘要：
我们描述了一个协议，以准备集群的超冷玻色子原子在强相互作用的状态，让人想起分数量子霍尔态。我们的计划包括在注入一个控制量的角动量的原子气体使用拉曼跃迁携带轨道角动量。通过向每个原子注入一个单位的角动量，可以实现单涡旋态，对于足够大的粒子数，这可以用平均场论很好地描述。我们还提出了实现分数量子霍尔态的方案，即玻色子Laughlin态和Moore-Read态。我们调查的绝热成核这样的拓扑状态的要求，特别是比较线性朗道-齐纳斜坡和任意斜坡从优化控制方法。我们还表明，该协议需要很好的控制各向同性字符的捕获潜力。
英文摘要：
We describe a protocol to prepare clusters of ultracold bosonic atoms in strongly-interacting states reminiscent of fractional quantum Hall states. Our scheme consists in injecting a controlled amount of angular momentum to an atomic gas using Raman transitions carrying orbital angular momentum. By injecting one unit of angular momentum per atom, one realizes a single-vortex state, which is well described by mean field theory for large enough particle numbers. We also present schemes to realize fractional quantum Hall states, namely the bosonic Laughlin and Moore-Read states. We investigate the requirements for adiabatic nucleation of a such topological states, in particular comparing linear Landau-Zener ramps and arbitrary ramps obtained from optimized control methods. We also show that this protocol requires excellent control over the isotropic character of the trapping potential.
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