标题： 高斯势促进旋转玻色气体中量子霍尔态的实现 显示英文标题

标题： Gaussian potentials facilitate access to quantum Hall states in rotating Bose gases

摘要： 通过针对少量原子的精确数值对角化，我们表明，通过在陷阱中心施加排斥性高斯势，可以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获得量子霍尔态。 主要思想是减少或消除粒子密度显著区域的有效 trapping 频率。 通过选择一个幅度随原子数线性增加而宽度随平方根增加的施加高斯势，可以将获得玻色子劳夫林态所需的临界旋转频率固定在实验可实现的值。 显示英文摘要

摘要： 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.