Li Guanling, Zhao Wenlei
School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China.
Entropy (Basel). 2024 Mar 3;26(3):229. doi: 10.3390/e26030229.
We investigate both theoretically and numerically the dynamics of out-of-time-ordered correlators (OTOCs) in quantum resonance conditions for a kicked rotor model. We employ various operators to construct OTOCs in order to thoroughly quantify their commutation relation at different times, therefore unveiling the process of quantum scrambling. With the help of quantum resonance condition, we have deduced the exact expressions of quantum states during both forward evolution and time reversal, which enables us to establish the laws governing OTOCs' time dependence. We find interestingly that the OTOCs of different types increase in a quadratic function of time, breaking the freezing of quantum scrambling induced by the dynamical localization under non-resonance condition. The underlying mechanism is discovered, and the possible applications in quantum entanglement are discussed.
我们从理论和数值两方面研究了受驱转子模型在量子共振条件下的乱序关联函数（OTOCs）的动力学。我们采用各种算符来构造OTOCs，以便全面量化它们在不同时刻的对易关系，从而揭示量子混乱过程。借助量子共振条件，我们推导出了正向演化和时间反演过程中量子态的精确表达式，这使我们能够建立支配OTOCs时间依赖性的规律。我们有趣地发现，不同类型的OTOCs随时间呈二次函数增长，打破了非共振条件下由动力学局域化引起的量子混乱冻结。我们发现了其潜在机制，并讨论了在量子纠缠中的可能应用。
