类任意子自旋梯中的子格纠缠
Sub-lattice entanglement in an exactly solvable anyon-like spin ladder
摘要：
我们引入了一个可积自旋梯模型，并研究了它的精确解、关联函数和纠缠特性。该模型支持两种粒子类型（对应于偶数和奇数子晶格），使得散射相位是常数：相同类型的粒子作为自由费米子散射，而粒子间相移是由相互作用参数调整的常数。因此，自旋梯与任意子模型有相似之处。我们给出了谱函数和关联函数的精确结果，并通过数值方法研究了亚晶格纠缠。
英文摘要：
We introduce an integrable spin ladder model and study its exact solution, correlation functions, and entanglement properties. The model supports two particle types (corresponding to the even and odd sub-lattices), such that the scattering phases are constants: particles of the same type scatter as free fermions, whereas the inter-particle phase shift is a constant tuned by an interaction parameter. Therefore, the spin ladder bears similarities with anyonic models. We present exact results for the spectrum and correlation functions, and we study the sub-lattice entanglement by numerical means.
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