论文标题
具有2D的手性拓扑顺序的量子多体疤痕，在1d中的临界特性
Quantum many-body scars with chiral topological order in 2D and critical properties in 1D
论文作者
论文摘要
我们构建了几岁，相互作用的非局部汉密尔顿人，具有量子疤痕状态，以原本塑造的多体谱。在一个维度上，嵌入式状态是一个临界状态，在两个维度上，嵌入式状态是一种手性拓扑秩序的状态。这些模型是在略有无序的晶格上定义的，疤痕状态似乎与该疾病的精确实现无关。参数允许将疤痕状态放置在光谱中的任何位置。我们表明，级别的间距分布是Wigner-dyson，并且在频谱中间的状态的纠缠熵接近页面值。最后，我们通过证明可以将任何人插入该州，在疤痕状态下确认拓扑顺序。
We construct few-body, interacting, nonlocal Hamiltonians with a quantum scar state in an otherwise thermalizing many-body spectrum. In one dimension, the embedded state is a critical state, and in two dimensions, the embedded state is a chiral topologically ordered state. The models are defined on slightly disordered lattices, and the scar state appears independent of the precise realization of the disorder. A parameter allows the scar state to be placed at any position in the spectrum. We show that the level spacing distributions are Wigner-Dyson and that the entanglement entropies of the states in the middle of the spectrum are close to the Page value. Finally, we confirm the topological order in the scar state by showing that one can insert anyons into the state.
