论文标题
预测从动力学通过多站点纠缠的拓扑量子相变
Predicting topological quantum phase transition from dynamics via multisite entanglement
论文作者
论文摘要
二维平方晶格中确切的可解决的基塔伊夫模型表现出拓扑量子相变，与零温度下的对称性过渡不同。当具有不同强度的扰动强度的非线性扰动Kitaev模型的基础状态被视为初始状态被淬灭到纯粹的Kitaev模型时，我们证明了动态状态的各种特征，例如Loschmidt Echo回声和时间平时的多部分式状态，可以确定初始状态是否属于拓扑阶段。此外，动态量词的衍生物可以忠实地识别出在平衡处的拓扑量子相变。当晶格的单个量子位反复与局部热浴相互作用时，我们观察到耗散动力学中的阻滞纠缠可以区分系统开始演变的平衡阶段。
An exactly solvable Kitaev model in a two-dimensional square lattice exhibits a topological quantum phase transition which is different from the symmetry-breaking transition at zero temperature. When the ground state of a nonlinearly perturbed Kitaev model with different strengths of perturbation taken as the initial state is quenched to a pure Kitaev model, we demonstrate that various features of the dynamical state, such as the Loschmidt echo and time-averaged multipartite entanglement, can determine whether the initial state belongs to the topological phase or not. Moreover, the derivatives of the dynamical quantifiers can faithfully identify the topological quantum phase transition, which is present at equilibrium. When the individual qubits of the lattice interact with the local thermal bath repeatedly, we observe that block entanglement in dissipative dynamics can nevertheless distinguish the equilibrium phases from which the system starts evolution.
