论文标题
Affleck-Kennedy-Lieb-Tasaki链及其边缘状态动力学的角度演变
Angular-time evolution for the Affleck-Kennedy-Lieb-Tasaki chain and its edge-state dynamics
论文作者
论文摘要
我们研究了角度演变，这是由纠缠哈密顿式纠缠的参数时间演变，用于与开放边界的Affleck-Kennedy-lieb-Tasaki（AKLT）链的两分四分化基态。特别是，我们使用矩阵 - 生成状态（MPS）表示具有Edges的Valence-Prodododuct-State（MPS）表示。我们还研究了如何使用MPS使用量规变换来在物理自旋空间中表示角度演变算子。然后，我们讨论AKLT链中角度演变的物理解释。
We study the angular-time evolution that is a parameter-time evolution defined by the entanglement Hamiltonian for the bipartitioned ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) chain with the open boundary. In particular, we analytically calculate angular-time spin correlation functions $\langle S_n^α(τ)S_n^α(0)\rangle$ with $α= x,y,z$, using the matrix-product-state (MPS) representation of the valence-bond-solid state with edges. We also investigate how the angular-time evolution operator can be represented in the physical spin space with the use of gauge transformation for the MPS. We then discuss the physical interpretation of the angular-time evolution in the AKLT chain.
