标题： 时间顺序外关联函数和冷原子中信息模糊的检测：阶梯XY模型 显示英文标题

标题： Detection of out-of-time-order correlators and information scrambling in cold atoms: Ladder-XY model

摘要： 与量子混沌相关的非时间顺序关联函数（OTOC），最近成为讨论的焦点，是一种用于理解孤立多体量子系统中信息混淆的工具。 预期量子混沌模型能够最快地混淆信息，因此显示出OTOC的指数衰减。 我们提出了一种无序的梯子自旋模型，该模型可以在可扩展的冷原子装置中设计，以利用时间反向演化的符号反转协议来检测OTOC。 我们的模型在早期时间显示出指数衰减，并在其混淆时间前具有幂律尾部，在系统变得更具相关性和非局域性时，表现出从次线性到超线性的光锥范围。 基于我们的结果，可以在相互作用为局域的设置中观察信息混淆如何在研究充分的1D模型到未探索的2D模型的转变过程中发生变化。 显示英文摘要

摘要： Out-of-time-order correlators (OTOC), recently being the center of discussion on quantum chaos, are a tool to understand the information scrambling in isolated many-body quantum systems. Quantum chaotic models are expected to scramble the information fastest and hence show exponential decay of OTOC. We propose a disordered ladder spin model which can be designed in a scalable cold atom setup to detect OTOC with a protocol utilizing the sign reversal for the evolution backward in time. Our model shows exponential decay in early-time with power-law tails before its scrambling time and a range of light-cones from sublinear to superlinear as the system becomes more correlated and nonlocal. Based on our results, one can observe how the information scrambling changes in the transition from well-studied 1D models to unexplored 2D models in a setting where the interactions are local.