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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.
Entropy (Basel, Switzerland)
|July 29, 2023
Summary
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.
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.
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