Quantum chaos and the correspondence principle

Letter

Quantum chaos and the correspondence principle

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

Phys. Rev. E 103, L030201 – Published 26 March 2021

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.

Received 17 November 2020
Accepted 2 March 2021

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

Physics Subject Headings (PhySH)

Chaos Quantum chaos Quantum-to-classical transition

Statistical Physics & ThermodynamicsNonlinear Dynamics

Authors & Affiliations

Jiaozi Wang ^1,2,*, Giuliano Benenti ^3,4,5,†, Giulio Casati^3,6,‡, and Wen-ge Wang ^1,§

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

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Issue

Vol. 103, Iss. 3 — March 2021

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review E

covering statistical, nonlinear, biological, and soft matter physics