From rotating atomic rings to quantum Hall states.

From rotating atomic rings to quantum Hall states.
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DOI:
10.1038/srep00043
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发表时间:
2011
期刊:
影响因子:
4.6
通讯作者:
Dalibard, J.
Dalibard, J.
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Roncaglia, M.;Rizzi, M.;Dalibard, J.

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目前,人们致力于在强相关量子霍尔体系中制备超冷中性原子。然而,必要的角动量非常大,在旋转陷阱的实验中,这意味着旋转频率非常接近解除限制极限;因此,所需的参数控制过于严格。在这里,我们建议改为遵循从最初限制在旋转环中的气体开始的动态路径。环形流体的大惯性矩有利于获得大角动量,对应于巨涡状态。然后,俘获势绝热地转变为谐波约束,从而使相互作用的原子气体处于所需的量子霍尔状态。我们提供的数值证据表明,对于较宽的初始角频率范围,巨涡旋态与玻色子 ν = 1/2 Laughlin 态绝热连接。
Considerable efforts are currently devoted to the preparation of ultracold neutral atoms in the strongly correlated quantum Hall regime. However, the necessary angular momentum is very large and in experiments with rotating traps this means spinning frequencies extremely near to the deconfinement limit; consequently, the required control on parameters turns out to be too stringent. Here we propose instead to follow a dynamic path starting from the gas initially confined in a rotating ring. The large moment of inertia of the ring-shaped fluid facilitates the access to large angular momenta, corresponding to giant vortex states. The trapping potential is then adiabatically transformed into a harmonic confinement, which brings the interacting atomic gas in the desired quantum-Hall regime. We provide numerical evidence that for a broad range of initial angular frequencies, the giant-vortex state is adiabatically connected to the bosonic ν = 1/2 Laughlin state.
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