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Semi-Markov processes in open quantum systems: Connections and applications in counting statistics
1School of Physics, Beihang University, Beijing 100191, China.
Physical Review. E
|December 23, 2022
Summary
Semi-Markov processes are linked to open quantum systems dynamics, offering advantages in quantum counting statistics. This method provides precise probability meanings for terms in quantum master equations.
Area of Science:
- Quantum Physics
- Statistical Mechanics
Background:
- Open quantum systems are often described by Markov quantum master equations.
- Understanding the dynamics and statistical properties of these systems is crucial.
Purpose of the Study:
- To establish a definitive connection between semi-Markov processes and the dynamics of open quantum systems.
- To propose a generalized Feynman-Kac formula for semi-Markov processes.
- To highlight the advantages of semi-Markov processes in quantum counting statistics.
Main Methods:
- Utilizing the age-structure formalism.
- Developing a generalized Feynman-Kac formula.
- Applying the framework to a driven two-level quantum system.
Main Results:
- Established a clear link between semi-Markov processes and Markovian open quantum systems.
- Proposed a novel generalized Feynman-Kac formula.
- Demonstrated superior applicability of semi-Markov processes for general counting quantities in quantum statistics compared to tilted quantum master equations.
Conclusions:
- Semi-Markov processes offer a powerful and more general approach to analyzing open quantum systems.
- The proposed method provides precise probabilistic interpretations for its components.
- This formalism enhances the study of quantum counting statistics.
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