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Related Experiment Video

Updated: May 11, 2025

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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
PubMed
Summary
This summary is machine-generated.

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.

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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.