论文标题
具有三个和四个自旋相互作用的模型中的复杂性和淬火
Complexity and quenches in models with three and four spin interactions
论文作者
论文摘要
我们研究具有三个和四个自旋相互作用的模型中的信息理论量。与最近的邻居同行相比，这些模型显示出独特的特征。在这里，我们根据静态和淬火场景，福比尼 - 研究复杂性和纠缠熵的尼尔森复杂性来量化这些。我们研究的模型具有丰富的相结构，并且与最近邻居相互作用的模型相比，这些模型与文献中已知的模型相比，如何与最近的邻居相互作用的模型差异相比，导致信息理论量的不同行为。例如，尼尔森复杂性的衍生物不会发散，而是在连续的相变附近显示不连续性，并且在此类过渡过程中，Fubini-study的复杂性可能是规律的且连续的。纠缠熵在第一阶和二阶量子相变时显示出新的不连续性。我们还研究了这些模型中的多种淬火场景，并将它们与横向XY模型中的淬火进行了对比。
We study information theoretic quantities in models with three and four spin interactions. These models show distinctive characteristics compared to their nearest neighbour counterparts. Here, we quantify these in terms of the Nielsen complexity in static and quench scenarios, the Fubini-Study complexity, and the entanglement entropy. The models that we study have a rich phase structure, and we show how the difference in the nature of phase transitions in these, compared to ones with nearest neighbour interactions, result in different behaviour of information theoretic quantities, from ones known in the literature. For example, the derivative of the Nielsen complexity does not diverge but shows a discontinuity near continuous phase transitions, and the Fubini-Study complexity may be regular and continuous across such transitions. The entanglement entropy shows a novel discontinuity both at first and second order quantum phase transitions. We also study multiple quench scenarios in these models and contrast these with quenches in the transverse XY model.
