论文标题
Sachdev-ye-Kitaev链的非自动动态
Non-unitary dynamics of Sachdev-Ye-Kitaev chain
论文作者
论文摘要
我们构建了一系列一维非单身动力学，由基于sachdev-ye-kitaev模型的单一演变和假想的演变组成。从一个短距离纠缠的状态开始，我们使用大型$ n $限制中的路径积分形式主义分析了纠缠动态。在我们获得的所有结果中，其中两个特别有趣：（1）通过改变假想进化的强度，相互作用的模型表现出从高度纠缠的体积定律阶段到区域定律阶段的一阶相变； （2）一维自由费米昂模型显示出具有新兴二维形式对称性的广泛临界状态。
We construct a series of one-dimensional non-unitary dynamics consisting of both unitary and imaginary evolutions based on the Sachdev-Ye-Kitaev model. Starting from a short-range entangled state, we analyze the entanglement dynamics using the path integral formalism in the large $N$ limit. Among all the results that we obtain, two of them are particularly interesting: (1) By varying the strength of the imaginary evolution, the interacting model exhibits a first order phase transition from the highly entangled volume law phase to an area law phase; (2) The one-dimensional free fermion model displays an extensive critical regime with emergent two-dimensional conformal symmetry.
