Baxter Relations for Open Quantum Spin Chains

开放量子自旋链的巴克斯特关系

• 批准号: 1973151
• 金额: --
• 依托单位: Heriot-Watt University
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2017
• 资助国家: 英国
• 起止时间: 2017 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1973151
• 关键词: Baxter; Relations; Open; Quantum; Spin

The algebraic route to the construction of TQ operator relations (which allow solutions of particular integrable Hamiltonians through the transfer matrix method) is already well understood for systems with periodic boundary conditions. The aim of this project is to extend this formalism to find analogous derivations of TQ relations for the open boundary case. We start with the U_q(sl_2) algebra of the XXZ spin chain, and hope to generalise this case to arbitrary q-deformed algebras.

对于具有周期性边界条件的系统，构造TQ算子关系的代数途径（通过传递矩阵方法可以求解特定的可积哈密顿算子）已经很好地理解了。这个项目的目的是扩展这种形式主义，找到类似的推导TQ关系的开放边界的情况下。我们从XXZ自旋链的U_q（sl_2）代数出发，希望将这种情况推广到任意q-变形代数。