Critically Slow Operator Dynamics in Constrained Many-Body Systems,Physical Review Letters

当前位置： X-MOL 学术 › Phys. Rev. Lett. › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Critically Slow Operator Dynamics in Constrained Many-Body Systems
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-12-01 , DOI: 10.1103/physrevlett.127.235301
Johannes Feldmeier ₁ , Michael Knap ₁

Affiliation

The far-from-equilibrium dynamics of generic interacting quantum systems is characterized by a handful of universal guiding principles, among them the ballistic spreading of initially local operators. Here, we show that in certain constrained many-body systems the structure of conservation laws can cause a drastic modification of this universal behavior. As an example, we study operator growth characterized by out-of-time-order correlations (OTOCs) in a dipole-conserving fracton chain. We identify a critical point with sub-ballistically moving OTOC front, that separates a ballistic from a dynamically frozen phase. This critical point is tied to an underlying localization transition and we use its associated scaling properties to derive an effective description of the moving operator front via a biased random walk with long waiting times. We support our arguments numerically using classically simulable automaton circuits.

中文翻译：

受限多体系统中极慢的算子动力学

通用相互作用量子系统的远离平衡动力学的特点是少数通用指导原则，其中包括最初局部算子的弹道传播。在这里，我们表明，在某些受约束的多体系统中，守恒定律的结构可以导致这种普遍行为的急剧改变。例如，我们研究了以偶极守恒分形链中的无时间顺序相关性 (OTOC) 为特征的算子增长。我们确定了一个具有亚弹道移动 OTOC 前沿的临界点，它将弹道与动态冻结阶段分开。这个临界点与潜在的定位转换相关，我们使用其相关的缩放属性通过长时间等待的有偏随机游走来推导出对移动算子前沿的有效描述。

更新日期：2021-12-01

点击分享查看原文

点击收藏

公开下载

阅读更多本刊最新论文本刊介绍/投稿指南11