论文标题
Anyon碰撞中的分数统计数据
Fractional statistics in anyon collisions
论文作者
论文摘要
二维系统可以容纳称为量子统计量既不是骨气也不是费米子的外来颗粒。例如，已经预测，已经预测，在填充因子$ν= 1/m $（其中m是奇数整数）处的分数量子霍尔效应的基本激发被预测遵守Abelian分数统计，并且与等于$π/m $的两个颗粒的交换相关的相$φ$。但是，尽管进行了许多实验尝试，但分数统计数据的明确签名仍然难以捉摸。在这里，我们通过测量由横梁分解器上的任何人之间的碰撞所产生的当前相关性，在填充因子$ν= 1/3 $处的Abelian分数统计数据进行实验证明。通过分析它们对分离器上撞击的任何人的依赖性并与最近的理论模型进行比较，我们提取$φ=π/3 $，与预测一致。
Two-dimensional systems can host exotic particles called anyons whose quantum statistics are neither bosonic nor fermionic. For example, the elementary excitations of the fractional quantum Hall effect at filling factor $ν=1/m$ (where m is an odd integer) have been predicted to obey abelian fractional statistics, with a phase $φ$ associated with the exchange of two particles equal to $π/m$. However, despite numerous experimental attempts, clear signatures of fractional statistics remain elusive. Here we experimentally demonstrate abelian fractional statistics at filling factor $ν=1/3$ by measuring the current correlations resulting from the collision between anyons at a beam-splitter. By analyzing their dependence on the anyon current impinging on the splitter and comparing with recent theoretical models, we extract $φ=π/3$, in agreement with predictions.
