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Updated: May 11, 2025
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
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Correspondence Principle, Ergodicity, and Finite-Time Dynamics
Zhen-Qi Chen1,2, Rui-Hua Ni1,2, Yalei Song1,2
1Lanzhou University, Lanzhou Center for Theoretical Physics, Lanzhou 730000, Gansu, China.
Physical Review Letters
|April 18, 2025
Summary
We propose a new method to link quantum energy shells with classical trajectories, improving our understanding of quantum-classical correspondence. This approach addresses limitations in quantum chaos and has applications in quantum technologies.
Area of Science:
- Quantum mechanics
- Quantum chaos
- Quantum information science
Background:
- The quantum-classical correspondence is a fundamental challenge in quantum mechanics.
- Traditional methods using spectral statistics fail to describe quantum chaos in non-ergodic systems.
Purpose of the Study:
- To develop a novel approach for studying quantum-classical correspondence.
- To overcome limitations of conventional methods in quantum chaos.
Main Methods:
- Associating quantum energy shells with classical finite-time trajectories.
- Analyzing deviations from ergodicity in quantum systems.
Main Results:
- The proposed method extends the understanding of quantum-classical correspondence.
- It explains previously conflicting findings in quantum chaos research.
Conclusions:
- The novel approach offers a new perspective on quantum-classical correspondence.
- Findings are significant for quantum metrology, sensing, and computation, particularly for assessing quantum state ergodicity.
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