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Perturbative dynamics of open quantum systems by renormalization group method
1Department of Physics, Graduate School of Science, Nagoya University, Chikusa, Nagoya 464-8602, Japan.
Physical Review. E
|January 20, 2018
Summary
The renormalization group (RG) method accurately approximates quantum system dynamics over long times without secular terms. This method reveals reduced dynamics linked to quantum master equations, validated with a spin-boson model.
Area of Science:
- Quantum mechanics
- Statistical physics
Background:
- Analyzing the dynamics of composite quantum systems interacting with an environment is crucial.
- Perturbative methods often suffer from secular terms, limiting long-time accuracy.
Purpose of the Study:
- To apply the renormalization group (RG) method to analyze the perturbative dynamics of a quantum system coupled to an environment.
- To investigate the long-time behavior and potential reduction of dynamics using the RG method.
- To establish the connection between RG-derived dynamics and quantum master equations.
Main Methods:
- Renormalization group (RG) analysis of a composite quantum system-environment model.
- Derivation of an approximate solution free from secular terms.
- Comparison with exact solutions for an exactly solvable spin-boson model.
Main Results:
- The RG method provides a secular-term-free solution approximating exact dynamics for extended time intervals.
- Under specific assumptions, the RG method leads to a reduction in the composite system's dynamics.
- The derived reduced dynamics show a strong correspondence with established quantum master equations.
Conclusions:
- The renormalization group method offers a robust framework for studying long-time quantum dynamics.
- RG-derived reduced dynamics provide insights into quantum system-environment interactions and their connection to master equations.
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