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Dissipation of classical energy in nonlinear quantum systems
Andrey Pereverzev1, Yuriy V Pereverzev, Oleg V Prezhdo
1Department of Chemistry and Center for Materials Chemistry, University of Houston, Houston, Texas 77204, USA. andrey.pereverzev@mail.uh.edu
The Journal of Chemical Physics
|April 10, 2008
Summary
Quantum dynamical variables act as a thermostat, transferring classical energy to a quantum reservoir in nonlinear systems. This leads to classical variables reaching equilibrium over time.
Area of Science:
- Quantum mechanics
- Nonlinear dynamics
- Statistical mechanics
Background:
- Quantized Hamilton dynamics introduces an infinite set of quantum dynamical variables.
- Understanding energy transfer and thermalization in quantum systems is crucial.
Purpose of the Study:
- To investigate the role of quantum dynamical variables in nonlinear quantum systems.
- To demonstrate how classical energy dissipates into a quantum reservoir.
Main Methods:
- Analysis of two simple nonlinear quantum systems.
- Application of quantized Hamilton dynamics framework.
- Illustration using the Jaynes-Cummings model and a nonlinear oscillator.
Main Results:
- The infinite set of quantum variables functions as a thermostat for finite classical variables.
- Coherent classical evolution decays into a chaotic quantum reservoir.
- Classical energy is transferred to quantum energy, represented by higher moments.
Conclusions:
- Classical variables in these systems reach equilibrium at long times.
- The quantum reservoir drives the thermalization of classical components.
- This provides insight into energy dissipation and thermalization in quantum dynamics.
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