Topologically induced prescrambling and dynamical detection of topological phase transitions at infinite temperature
Topologically induced prescrambling and dynamical detection of topological phase transitions at infinite temperature
复制标题
DOI：
10.1103/physrevb.101.104415
复制
发表时间：
2020-03-19
影响因子：
3.7
通讯作者：
Sun, Kai
中科院分区：
文献类型：
--
作者：
Dag, Ceren B.;Duan, L-M;Sun, Kai
我们报告了一个数值观测，其中无限温度的时间顺序外的量子化器（OTOC）直接探测量子相变在零温度下，在普通的直觉，低能量的量子效应被冲走在高温下的强烈的热波动。通过比较数值模拟与精确的分析结果，我们确定，这种现象具有拓扑起源，是高度通用的，只要底层系统可以映射到一个1D马约拉纳链。使用Majorana基，我们表明，无限温度OTOC探测零温度量子相位通过检测的Majorana零模式的存在下，在与一维Z（2）拓扑秩序的链的末端。因此，我们表明，强零模式也影响OTOC和置乱动态。我们的研究结果表明，信息置乱和拓扑序之间的一个有趣的相互作用，这导致了一个新的现象，在一般的不可积模型的置乱：拓扑序诱导prescrambling，平行的概念，prethermalization的两个时间的量子化，定义了一个时间尺度的拓扑保护的量子信息的限制置乱。
We report a numerical observation where the infinite-temperature out-of-time-order correlators (OTOCs) directly probe quantum phase transitions at zero temperature, in contrast to common intuition where low-energy quantum effects are washed away by strong thermal fluctuations at high temperature. By comparing numerical simulations with exact analytic results, we determine that this phenomenon has a topological origin and is highly generic, as long as the underlying system can be mapped to a 1D Majorana chain. Using the Majorana basis, we show that the infinite-temperature OTOCs probe zero-temperature quantum phases via detecting the presence of Majorana zero modes at the ends of the chain that is associated with 1D Z(2) topological order. Hence, we show that strong zero modes also affect OTOCs and scrambling dynamics. Our results demonstrate an intriguing interplay between information scrambling and topological order, which leads to a new phenomenon in the scrambling of generic nonintegrable models: topological order induced prescrambling, paralleling the notion of prethermalization of two-time correlators that defines a timescale for the restricted scrambling of topologically protected quantum information.