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General non-Markovian dynamics of open quantum systems
Wei-Min Zhang1, Ping-Yuan Lo, Heng-Na Xiong
1Department of Physics, National Cheng Kung University, Tainan 70101, Taiwan. wzhang@mail.ncku.edu.tw
We developed a theory for non-Markovian dynamics in open quantum systems. Nonexponential decays and dissipationless oscillations are key features, explained by environmental spectra.
Area of Science:
- Quantum Physics
- Condensed Matter Physics
- Statistical Mechanics
Background:
- Open quantum systems exhibit complex dynamics influenced by their environment.
- Understanding non-Markovian dynamics is crucial for quantum technologies.
Purpose of the Study:
- To develop a general theory for non-Markovian dynamics of open fermionic/bosonic systems.
- To elucidate the origins of nonexponential decays and dissipationless oscillations.
Main Methods:
- Connecting exact master equations with nonequilibrium Green's functions.
- Fully accounting for environmental backactions.
- Deriving exact analytic solutions for various thermal environments.
Main Results:
- Non-Markovian dynamics exhibit nonexponential decays and dissipationless oscillations.
- Discontinuities in self-energy corrections cause nonexponential decays.
- Band gaps in spectral densities lead to dissipationless oscillations.
Conclusions:
- Non-Markovian dynamics are fundamentally linked to environmental spectral properties.
- Environmental spectra provide a framework for understanding complex quantum dynamics.
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