量子混沌与对应原理。

Quantum chaos and the correspondence principle.

作者信息

Wang Jiaozi, Benenti Giuliano, Casati Giulio, Wang Wen-Ge

机构信息

Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China.

Department of Physics, University of Osnabrück, D-49069 Osnabrück, Germany.

出版信息

Phys Rev E. 2021 Mar;103(3):L030201. doi: 10.1103/PhysRevE.103.L030201.

DOI:10.1103/PhysRevE.103.L030201

PMID:33862813

Abstract

The correspondence principle is a cornerstone in the entire construction of quantum mechanics. This principle has been recently challenged by the observation of an early-time exponential increase of the out-of-time-ordered correlator (OTOC) in classically nonchaotic systems [E. B. Rozenbaum et al., Phys. Rev. Lett. 125, 014101 (2020)PRLTAO0031-900710.1103/PhysRevLett.125.014101]. Here, we show that the correspondence principle is restored after a proper treatment of the singular points. Furthermore, our results show that the OTOC maintains its role as a diagnostic of chaotic dynamics.

摘要

对应原理是量子力学整个构建过程中的基石。最近，经典非混沌系统中无序关联函数（OTOC）早期指数增长的观测对这一原理提出了挑战[E. B. 罗森鲍姆等人，《物理评论快报》125, 014101 (2020)PRLTAO0031 - 900710.1103/PhysRevLett.125.014101]。在此，我们表明在对奇点进行适当处理后，对应原理得以恢复。此外，我们的结果表明OTOC仍保持其作为混沌动力学诊断工具的作用。