论文标题

量子混乱和对应原理

Quantum Chaos and the Correspondence Principle

论文作者

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

论文摘要

对应原理是整个量子力学构造中的基石。最近,观察到经典非偶然系统中的超时订购相关器(OTOC)的早期指数增加,这一原则受到了质疑[E.B. Rozenbaum等人,物理。莱特牧师。 125,014101(2020)],在这里我们表明对应原理在正确处理单数点后将恢复。此外,我们的结果表明,OTOC保持其作为混沌动力学诊断的作用。

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 non-chaotic systems [E.B. Rozenbaum et al., Phys. Rev. Lett. 125, 014101 (2020)], 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.

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