论文标题
原子分数量子霍尔液体中的任何分子：分数电荷和任何统计的定量探针
Anyonic molecules in atomic fractional quantum Hall liquids: a quantitative probe of fractional charge and anyonic statistics
论文作者
论文摘要
我们研究了在合成磁场的作用下，嵌入在强烈相互作用的二维原子气体（FQH）状态下的二维原子气体中的巨大杂质的量子动力学。对于原子障碍相互作用强度的合适值，每个杂质都可以捕获FQH液体的一种或多种准孔刺激，从而形成具有新型物理特性的结合分子状态。这种任何人分子的有效哈密顿量是在borpenheimer近似中得出的，该近似值通过将杂质的有限质量与准孔的分数电荷和统计数据相结合，从而为其有效的质量，电荷和统计量提供了重新归一化的值。可以从磁场中描述为自由粒子的回旋子轨道中提取单个分子的重新归一化质量和电荷。 Anyonic统计数据在一对无法区分的碰撞分子的直接和交换散射通道之间引入了一个统计阶段，并且可以从差分散射横截面中干扰条纹的角位置进行测量。突出显示了冷原子气体以外的此类方案的实施，特别是在光子系统中。
We study the quantum dynamics of massive impurities embedded in a strongly interacting two-dimensional atomic gas driven into the fractional quantum Hall (FQH) regime under the effect of a synthetic magnetic field. For suitable values of the atom-impurity interaction strength, each impurity can capture one or more quasi-hole excitations of the FQH liquid, forming a bound molecular state with novel physical properties. An effective Hamiltonian for such anyonic molecules is derived within the Born-Oppenheimer approximation, which provides renormalized values for their effective mass, charge and statistics by combining the finite mass of the impurity with the fractional charge and statistics of the quasi-holes. The renormalized mass and charge of a single molecule can be extracted from the cyclotron orbit that it describes as a free particle in a magnetic field. The anyonic statistics introduces a statistical phase between the direct and exchange scattering channels of a pair of indistinguishable colliding molecules, and can be measured from the angular position of the interference fringes in the differential scattering cross section. Implementations of such schemes beyond cold atomic gases are highlighted, in particular in photonic systems.
