Quantum chaos and the correspondence principle

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

doi:10.1103/PhysRevE.103.L030201

Quantum chaos and the correspondence principle

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

Authors

Jiaozi Wang^{1

2}, Giuliano Benenti^{3

4

5}, Giulio Casati^{3

6}, Wen-Ge Wang¹

Affiliations

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

PMID: 33862813
DOI: 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)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.