Quantum Chaos and the Correspondence Principle
Quantum Physics
2021-03-31 v2 Statistical Mechanics
Chaotic Dynamics
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.
Keywords
Cite
@article{arxiv.2010.10360,
title = {Quantum Chaos and the Correspondence Principle},
author = {Jiaozi Wang and Giuliano Benenti and Giulio Casati and Wen-ge Wang},
journal= {arXiv preprint arXiv:2010.10360},
year = {2021}
}
Comments
7 pages, 7 figures