论文标题
一维晶格Anyons的Bosonic Continuum理论
Bosonic continuum theory of one-dimensional lattice anyons
论文作者
论文摘要
在超速气体中，有任意交换阶段的人存在于1D晶格上。但是，一维中已知的连续理论不匹配。我们通过相互作用的玻色子得出了1D晶格的连续限制。该理论保持交换阶段周期性与2D Anyons完全类似。这提供了在实验，格子Anyons和连续理论之间的映射，包括具有自然正规化作为特殊情况的Kundu Anyons。我们从数值上估算Luttinger参数作为交换角度的函数，以表征理论的远程特征，并预测左和右移动集体激发的不同速度。
Anyons with arbitrary exchange phases exist on 1D lattices in ultracold gases. Yet, known continuum theories in 1D do not match. We derive the continuum limit of 1D lattice anyons via interacting bosons. The theory maintains the exchange phase periodicity fully analogous to 2D anyons. This provides a mapping between experiments, lattice anyons, and continuum theories, including Kundu anyons with a natural regularization as a special case. We numerically estimate the Luttinger parameter as a function of the exchange angle to characterize long-range signatures of the theory and predict different velocities for left- and right-moving collective excitations.
