论文标题
在一维相互作用的对称性拓扑相中，几乎强的边缘模式运算符的寿命
Lifetime of almost strong edge-mode operators in one dimensional, interacting, symmetry protected topological phases
论文作者
论文摘要
在某些相互作用的1D对称性拓扑阶段与\（Z_2 \）对称的边界上产生的几乎强的边缘模式算子具有无限的温度寿命，这些温度寿命在整合性破坏术语中非扰动，使它们成为量子信息处理的位。我们为小型系统尺寸以及在热力学极限中提取这些边缘模式运算符的寿命。对于后者，采用兰开斯方案将操作员动力学映射到Krylov空间中单个粒子的一个维度紧密结合模型。我们发现，这个模型是一个空间不均匀的Su-Schrieffer-Heeger模型的模型，其跳高幅度从边界增加了，并且从边界降低的二聚化。我们将这种二聚体或交错的结构与几乎强模式的存在相关联。因此，几乎强大的模式的短时动力学是Su-Schrieffer-Heeger模型的边缘模式的动力学，而长时间动力学涉及由于从该模式中挖出的隧穿而衰减，然后是混乱的操作员扩散。我们还表明，竞争散射过程会导致干扰效应，从而显着增强生命周期。
Almost strong edge-mode operators arising at the boundaries of certain interacting 1D symmetry protected topological phases with \(Z_2\) symmetry have infinite temperature lifetimes that are non-perturbatively long in the integrability breaking terms, making them promising as bits for quantum information processing. We extract the lifetime of these edge-mode operators for small system sizes as well as in the thermodynamic limit. For the latter, a Lanczos scheme is employed to map the operator dynamics to a one dimensional tight-binding model of a single particle in Krylov space. We find this model to be that of a spatially inhomogeneous Su-Schrieffer-Heeger model with a hopping amplitude that increases away from the boundary, and a dimerization that decreases away from the boundary. We associate this dimerized or staggered structure with the existence of the almost strong mode. Thus the short time dynamics of the almost strong mode is that of the edge-mode of the Su-Schrieffer-Heeger model, while the long time dynamics involves decay due to tunneling out of that mode, followed by chaotic operator spreading. We also show that competing scattering processes can lead to interference effects that can significantly enhance the lifetime.
