具有两自旋和三自旋竞争相互作用的一维自旋模型的基态保真度分岔
Bifurcation in ground-state fidelity for a one-dimensional spin model with competing two-spin and three-spin interactions
摘要：
利用基于无限矩阵乘积态表象的张量网络算法，研究了具有两自旋和三自旋竞争相互作用的一维量子自旋模型.该算法是一个适应维达尔的无限时间演化块抽取算法，涉及三个自旋相互作用的自旋不变的一维晶格自旋系统。计算了在几个选定的耦合常数值下每个格点的基态保真度，并揭示了它的分叉。我们成功地确定了临界点，并推导出局部序参量来表征传统的Ginzburg-Landau-Wilson范式中的不同阶段。
英文摘要：
A one-dimensional quantum spin model with the competing two-spin and three-spin interactions is investigated in the context of a tensor network algorithm based on the infinite matrix product state representation. The algorithm is an adaptation of Vidal's infinite time-evolving block decimation algorithm to a translation-invariant one-dimensional lattice spin system involving three-spin interactions. The ground-state fidelity per lattice site is computed, and its bifurcation is unveiled, for a few selected values of the coupling constants. We succeed in identifying critical points and deriving local order parameters to characterize different phases in the conventional Ginzburg-Landau-Wilson paradigm.
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