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Effects of chaotic dynamics on quantum friction
Gabriel G Carlo1, Leonardo Ermann1, Alejandro M F Rivas1
1Departamento de Física, CNEA, CONICET, Libertador 8250, (C1429BNP) Buenos Aires, Argentina.
Physical Review. E
|May 22, 2019
Summary
This study derives quantum corrections to classical Liouville dynamics for dissipative systems, revealing fluctuations dependent on Planck
Area of Science:
- Quantum mechanics
- Statistical physics
Background:
- Classical Liouville dynamics describes system evolution without quantum effects.
- Quantum dissipative systems interact with their environment, leading to energy loss and decoherence.
- The Wigner distribution is a phase-space representation of quantum states.
Purpose of the Study:
- To derive quantum corrections to classical Liouville dynamics for dissipative systems.
- To investigate the role of quantum friction and environmental coupling.
- To analyze the behavior of a paradigmatic kicked rotator system.
Main Methods:
- Studying the evolution equation for Wigner distributions.
- Incorporating the standard quantum friction model.
- Analyzing the kicked rotator model and Wigner functions.
Main Results:
- Quantum corrections introduce fluctuations dependent on Planck's constant, momentum, and dissipation.
- Adding fluctuations dependent on Planck's constant recovers quantum behavior in the kicked rotator.
- Chaotic dynamics influence momentum independence, while dissipation affects dynamics implicitly.
Conclusions:
- Quantum friction introduces momentum- and dissipation-dependent fluctuations.
- The kicked rotator model demonstrates the recovery of quantum behavior through fluctuations.
- System chaos and dissipation dynamics are key factors in quantum corrections.
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