论文标题
量子自旋1/2的代数 - 动力学理论：两旋链限及其对晶格模型的影响
Algebraic-Dynamical Theory for Quantum Spin-1/2: the Two-spin limit and Implications for Lattice Models
论文作者
论文摘要
最近，在W. ding中强烈相互作用的多体量子汉密尔顿人，Arxiv：2202.12082（2022），{\ IT代数动态理论}（ADT）。通过介绍完整的操作员基集，ADT提出了一个通用框架，用于系统地构建与量子杂项相互作用的动力学理论，并使用量子纠缠作为组织原理。在这项工作中，我们研究了相互作用的两旋链问题的确切ADT解决方案，这些解决方案可以用作相关可解决限制的扰动研究的“自由理论”。然后，我们执行ADT扰动计算，并在扰动下获得正确的基态，这表明ADT框架能够构建正确相互作用的量子自旋模型的正确动态扰动理论。我们还讨论了对相关晶格模型的影响。
Recently, an {\it algebraic-dynamical theory} (ADT) for strongly interacting many-body quantum Hamiltonians in W. Ding, arXiv: 2202.12082 (2022). By introducing the complete operator basis set, ADT proposes a generic framework for systematically constructing dynamical theories for interacting quantum Hamiltonians, using quantum entanglement as the organizing principle. In this work, we study exact ADT solutions of interacting two-spin problems which can be used as "free theories" for perturbation study on relevant solvable limits. Then we perform ADT perturbation calculations and obtain the correct ground state under the perturbation, which shows that the ADT framework is capable of constructing correct dynamical perturbation theories for strongly interacting quantum spin models. We also discuss the implication for relevant lattice models.
