论文标题
非亚伯利亚人的对撞机
Non-Abelian Anyon Collider
论文作者
论文摘要
撞机将颗粒从相对侧注入梁分离器，已用于识别相同颗粒的量子统计。碰撞导致玻色子的颗粒束和formions的抗抗激素。在最近的实验中，将撞机应用于主持Abelian Anyons的分数量子厅政权。电流观察到的电流的负相关性无法通过费米子抗挑战来理解。在这里，我们预测，基于对非平衡注射的共形野外理论和非扰动治疗，对撞机提供了一种直接观察各种阿贝利亚和非阿贝尔人的编织统计量的工具。它的主导过程并不是注射的人之间的直接碰撞，这与共同的期望相反，而是在注射的人和对撞机兴奋的人之间进行编织。由此产生的负相关对注入电流的依赖性区分了非亚伯式SU（2）$ _k $ anyons，ising yyons和Abelian Laughlin Anyons。
A collider, where particles are injected to a beam splitter from opposite sides, has been used for identifying quantum statistics of identical particles. The collision leads to bunching of the particles for bosons and antibunching for fermions. In recent experiments, a collider was applied to a fractional quantum Hall regime hosting Abelian anyons. The observed negative cross correlation of electrical currents cannot be understood with fermionic antibunching. Here we predict, based on a conformal field theory and non-perturbative treatment of non-equilibrium anyon injection, that the collider provides a tool for direct observation of the braiding statistics of various Abelian and non-Abelian anyons. Its dominant process is not direct collision between injected anyons, contrary to common expectation, but braiding between injected anyons and an anyon excited at the collider. The dependence of the resulting negative cross correlation on the injection currents distinguishes non-Abelian SU(2)$_k$ anyons, Ising anyons, and Abelian Laughlin anyons.
