火山势中的时序外关联函数
Out-of-time-order Correlators in Volcano potentials
- Birla Institute of Technology and Science - Pilani（比拉理工学院皮拉尼分校）
- Asia Pacific Center for Theoretical Physics, Postech（韩国科学技术院亚太理论物理中心）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文解析和数值研究火山势中的时序外关联函数，发现其短时指数增长不表示全局量子混沌，而与激发态采样负曲率区域相关。
AI中文摘要：
时序外关联函数（OTOC）已成为量子信息扰乱的重要诊断工具和量子混沌的关键标志。本文从解析和数值两方面讨论了所谓的火山势中的时序外关联函数。该势函数族在参数上于有界阱和约束壁之间进行插值，并包含Pöschl-Teller势作为特例。通过数值对角化与半经典分析的结合，我们研究了势参数区域中同时包含正曲率和负曲率区域的各种参数范围。此外，我们在此情况下证明，OTOC的短时指数增长并不必然意味着全局量子混沌；相反，它与激发态对负曲率区域的采样相关。
英文摘要：
The out-of-time-order correlator (OTOC) has emerged as an important diagnostic for quantum information scrambling and a key signature of quantum chaos. In this work, we discuss out-of-time-order correlators, analytically and numerically, for the so-called Volcano potentials. This family of potentials parametrically interpolates between bounded wells and confining walls, and includes Pöschl-Teller as a specific case. Through a combination of numerical diagonalization and semiclassical analysis, we investigate various regimes of the potential parameter regimes containing regions of both positive and negative curvatures. Moreover, we demonstrate in this case that short-time exponential growth of the OTOC does not necessarily signal global quantum chaos; instead, it correlates with the sampling of negative curvature regions by excited states.
