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arXiv · 2010.10360

Quantum Chaos and the Correspondence Principle

Jiaozi Wang·Giuliano Benenti·Giulio Casati·Wen-ge Wang
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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 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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Jiaozi Wang, Giuliano Benenti, Giulio Casati, Wen-ge Wang. 2020-10-20. Quantum Chaos and the Correspondence Principle. https://doi.org/10.1103/physreve.103.l030201

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