论文标题
各向异性海森堡量子链中磁孤子的半古典定量
Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain
论文作者
论文摘要
使用代数几何方法，我们研究了弱 - 动物量子量子链链中半经典特征状态的结构。我们概述了通过各向异性Landau-Lifshitz方程来控制的经典非线性自旋波是如何作为铁磁基态的相干宏观低能波动而产生的。特别强调最简单的溶液类型，描述了进攻性运动和椭圆化磁性波。通过使用Riemann-Hilbert问题方法执行半古典定量来解决经典自旋波的内部磁通结构。我们提出了两个半古典特征状态的重叠的表达式，并讨论了半古典级别的相关函数如何来自经典的相位平均。
Using the algebro-geometric approach, we study the structure of semi-classical eigenstates in a weakly-anisotropic quantum Heisenberg spin chain. We outline how classical nonlinear spin waves governed by the anisotropic Landau-Lifshitz equation arise as coherent macroscopic low-energy fluctuations of the ferromagnetic ground state. Special emphasis is devoted to the simplest types of solutions, describing precessional motion and elliptic magnetisation waves. The internal magnon structure of classical spin waves is resolved by performing the semi-classical quantisation using the Riemann-Hilbert problem approach. We present an expression for the overlap of two semi-classical eigenstates and discuss how correlation functions at the semi-classical level arise from classical phase-space averaging.
