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Behavior of Correlation Functions in the Dynamics of the Multiparticle Quantum Arnol'd Cat.

Entropy (Basel, Switzerland)·2024
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Quantum Entropies and Decoherence for the Multiparticle Quantum Arnol'd Cat.

Giorgio Mantica1,2,3

  • 1Center for Non-Linear and Complex Systems Università dell'Insubria, Via Valleggio 11, 22100 Como, Italy.

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Summary
This summary is machine-generated.

This study examines how physical parameters scale in dynamical entropies within a chaotic system model. It clarifies the nature and relevance of quantum chaos without approximations.

Keywords:
chaosclassical and quantum entropiesquantum to classical transition

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Area of Science:

  • Physics
  • Quantum Mechanics
  • Chaos Theory

Background:

  • Dynamical entropies are crucial for understanding chaotic systems.
  • Collision-induced decoherence affects quantum system evolution.
  • The nature and definition of quantum chaos remain debated.

Purpose of the Study:

  • To investigate the scaling behavior of classical and quantum dynamical entropies.
  • To analyze these behaviors in a model of collision-induced decoherence.
  • To contribute to the discussion on quantum chaos.

Main Methods:

  • A fully canonical treatment of a specifically devised model.
  • Analysis of scaling in physical parameters.
  • No approximations or infinite limits were taken.

Main Results:

  • Detailed presentation of a model for collision-induced decoherence.
  • Examination of scaling in dynamical entropies within a chaotic system.
  • Insights into the physical parameter behavior.

Conclusions:

  • The study provides a rigorous model for analyzing quantum chaos.
  • It clarifies aspects of dynamical entropies in decohering chaotic systems.
  • Offers a foundation for further research into quantum chaos definitions and relevance.