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  • Letter

Quantum chaos and the correspondence principle

Jiaozi Wang1,2,*, Giuliano Benenti3,4,5,†, Giulio Casati3,6,‡, and Wen-ge Wang1,§

  • 1Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
  • 2Department of Physics, University of Osnabrück, D-49069 Osnabrück, Germany
  • 3Center for Nonlinear and Complex Systems, Dipartimento di Scienza e Alta Tecnologia, Università degli Studi dell'Insubria, via Valleggio 11, I-22100 Como, Italy
  • 4Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, I-20133 Milano, Italy
  • 5NEST, Istituto Nanoscienze-CNR, I-56126 Pisa, Italy
  • 6International Institute of Physics, Federal University of Rio Grande do Norte, Campus Universitário - Lagoa Nova, CP 1613, Natal, Rio Grande Do Norte 59078-970, Brazil

  • *wangjz@mail.ustc.edu.cn
  • †giuliano.benenti@uninsubria.it
  • ‡giulio.casati@uninsubria.it
  • §wgwang@ustc.edu.cn
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Phys. Rev. E 103, L030201 – Published 26 March, 2021

DOI: https://doi.org/10.1103/PhysRevE.103.L030201

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)]. 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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Phys. Rev. E 103, L030201– Published 26 March, 2021
  • Received 17 November 2020
  • Accepted 2 March 2021
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