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Related Experiment Video

Updated: Nov 9, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Quantum chaos and the correspondence principle.

Jiaozi Wang^1,2, Giuliano Benenti^3,4,5, Giulio Casati^3,6

¹Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China.

Physical Review. E

|April 17, 2021

Summary

The correspondence principle in quantum mechanics is restored by properly treating singular points, even when observing early-time exponential increases in out-of-time-ordered correlators (OTOCs). The OTOC remains a key indicator of chaotic dynamics.

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Area of Science:

Quantum mechanics
Quantum chaos
Statistical mechanics

Background:

The correspondence principle is fundamental to quantum mechanics, linking quantum theory to classical physics.
Recent observations of early-time exponential increases in out-of-time-ordered correlators (OTOCs) in nonchaotic systems have challenged this principle.

Purpose of the Study:

To investigate the validity of the correspondence principle in light of new OTOC observations.
To demonstrate that the correspondence principle is restored through a refined mathematical treatment.

Main Methods:

Analysis of singular points in the mathematical framework.
Theoretical treatment of out-of-time-ordered correlators (OTOCs).

Main Results:

The correspondence principle is re-established after a proper handling of singular points.
The out-of-time-ordered correlator (OTOC) is confirmed as a reliable diagnostic tool for chaotic dynamics.

Conclusions:

The apparent challenge to the correspondence principle is resolved by addressing mathematical singularities.
The OTOC's utility in identifying chaotic behavior is preserved and validated.