AI 中文总结
本文以费德布施模型为1+1维可积量子场论的玩具模型，研究其雷尼熵，发现基态平衡及小拓扑参数猝灭后的动力学中，该模型的纠缠拓扑特征对多数已知纠缠度量无影响。
AI 中文摘要
本文研究了1+1维可积量子场论——费德布施（Federbush）模型中的纠缠度量——雷尼（Rényi）熵。该模型是通过U(1)流中的双线性项耦合两种费米子种类，对两种有质量狄拉克费米子理论进行的形变。这种形变产生的S矩阵元是与耦合相关的相位，不同于-1，这些非平凡相位可被视为编码任意子类统计。从该视角看，费德布施模型是一维纠缠拓扑特征的玩具模型。本文表明，对于无穷大系统，在基态平衡下计算许多已知纠缠度量时，这些拓扑特征不起作用；该结论也适用于拓扑参数发生小猝灭后的猝灭后动力学过程。
英文摘要
In this paper we investigate an entanglement measure, the Rényi entropy, in a 1+1D integrable quantum field theory known as the Federbush model. This is a deformation of the theory of two massive Dirac fermions by means of a bilinear term in the $U(1)$ currents that couples the two fermion species. This deformation gives rise to $S$-matrix elements which are coupling-dependent phases, distinct from $- 1$. These non-trivial phases can be seen as encoding anyon-like statistics. From this viewpoint, the Federbush model is a toy model for topological features of entanglement in one space dimension. In this paper we show that, for an infinite system, these topological features play no role when computing many known measures of entanglement at equilibrium in the ground state. This conclusion applies also to the post-quench dynamics after a small quench of the topological parameter.
Comments16 pages
