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Pseudoclassical Dynamics of the Kicked Top.
Zhixing Zou1, Jiao Wang1,2
1Department of Physics and Key Laboratory of Low Dimensional Condensed Matter Physics (Department of Education of Fujian Province), Xiamen University, Xiamen 361005, China.
Entropy (Basel, Switzerland)
|August 26, 2022
Summary
We extend pseudoclassical concepts from the kicked rotor to the kicked top, revealing deeper insights into quantum chaos and entanglement entropy. This approach clarifies periodic synchronization and enhances classical-quantum correspondence understanding.
Area of Science:
- Quantum mechanics
- Quantum chaos
- Statistical mechanics
Background:
- The kicked rotor and kicked top are key models for studying quantum chaos.
- Quantum resonance and the pseudoclassical limit offer insights into classical-quantum correspondence.
Purpose of the Study:
- To extend pseudoclassical notions to the kicked top model.
- To thoroughly analyze the rich dynamical behavior of the kicked top, focusing on entanglement entropy.
- To understand periodic synchronization phenomena from a pseudoclassical perspective.
Main Methods:
- Extension of pseudoclassical limit and quantum resonance concepts.
- Analysis of entanglement entropy in the kicked top system.
- Comparison of dynamics under different kicking strengths.
Main Results:
- The pseudoclassical perspective provides a deeper understanding of the kicked top's dynamics.
- Periodic synchronization between systems with varying kicking strengths is explained.
- Entanglement entropy is identified as a key characteristic of the kicked top's behavior.
Conclusions:
- Pseudoclassical theory offers a unified framework for understanding quantum chaotic systems like the kicked rotor and kicked top.
- The study highlights the utility of pseudoclassical concepts for analyzing complex quantum phenomena, including entanglement.
- Further applicability of the general pseudoclassical theory to the kicked rotor is discussed.
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