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Updated: Nov 9, 2025
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Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
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Quantum chaos and the correspondence principle.
Jiaozi Wang1,2, Giuliano Benenti3,4,5, Giulio Casati3,6
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.
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.
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