论文标题
量子统计通过磁通附件传输
Quantum statistics transmutation via magnetic flux attachment
论文作者
论文摘要
我们考虑了垂直磁场中2D量子颗粒的两种类型（浴和示踪剂）的模型。相互作用是短范围和种间，我们假设浴粒子是费米子，它们都位于磁场的最低水平。然后，启发式论点表明，如果示踪剂与浴缸有很强的耦合，它们会有效地改变其量子统计数据，从玻色子到费米子或反之亦然。我们严格地计算自然试验状态的能量，确实表现出这种统计变异现象。证明涉及对随机矩阵的Ginibre集合的特征多项式的估计。
We consider a model for two types (bath and tracers) of 2D quantum particles in a perpendicular magnetic field. Interactions are short range and inter-species, and we assume that the bath particles are fermions, all lying in the lowest Landau level of the magnetic field. Heuristic arguments then indicate that, if the tracers are strongly coupled to the bath, they effectively change their quantum statistics, from bosonic to fermionic or vice-versa. We rigorously compute the energy of a natural trial state, indeed exhibiting this phenomenon of statistics transmutation. The proof involves estimates for the characteristic polynomial of the Ginibre ensemble of random matrices.
