Gaussian potentials facilitate access to quantum hall states in rotating Bose Gases
Gaussian potentials facilitate access to quantum hall states in rotating Bose Gases
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DOI：
10.1103/physrevlett.99.240401
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发表时间：
2007-12-14
影响因子：
8.6
通讯作者：
Feder, David L.
中科院分区：
文献类型：
--
作者：
Morris, Alexis G.;Feder, David L.
通过对少量原子的精确数值对角化，我们证明了通过在陷阱中心施加排斥高斯势，在远低于离心极限的旋转频率下，在谐波约束的玻色气体中可以获得量子霍尔态。其主要思想是减少或消除有效的捕获频率的区域中的粒子密度是可观的。获得玻色劳克林态所需的临界旋转频率可以通过选择一个应用的高斯来固定在实验上可获得的值，该高斯的振幅随原子数线性增加，而其宽度随平方根增加。
Through exact numerical diagonalization for small numbers of atoms, we show that it is possible to access quantum Hall states in harmonically confined Bose gases at rotation frequencies well below the centrifugal limit by applying a repulsive Gaussian potential at the trap center. The main idea is to reduce or eliminate the effective trapping frequency in regions where the particle density is appreciable. The critical rotation frequency required to obtain the bosonic Laughlin state can be fixed at an experimentally accessible value by choosing an applied Gaussian whose amplitude increases linearly with the number of atoms while its width increases as the square root.