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Dissipatons as generalized Brownian particles for open quantum systems: Dissipaton-embedded quantum master equation
Xiang Li1, Yu Su2, Zi-Hao Chen1
1CAS Key Laboratory of Precision and Intelligent Chemistry, University of Science and Technology of China, Hefei, Anhui 230026, China.
Dissipaton theory offers an exact method for open quantum systems. A new dissipaton-embedded quantum master equation (DQME) reveals dissipatons as Brownian particles, aiding environmental mode analysis.
Area of Science:
- Quantum Dynamics
- Theoretical Chemistry
- Statistical Physics
Background:
- Open quantum system dynamics are challenging to model exactly.
- Dissipaton theory uses quasi-particles to represent environmental influence.
- Existing methods require further development for direct statistical analysis.
Purpose of the Study:
- To establish an equivalent quantum master equation for dissipaton theory.
- To enable direct investigation of dissipaton statistical properties.
- To analyze the hybrid bath modes supporting quantum systems.
Main Methods:
- Revisiting the dissipaton equation of motion theory.
- Establishing a dissipaton-embedded quantum master equation (DQME).
- Applying DQME to an electron transfer model for numerical demonstration.
Main Results:
- Dissipatons are shown to be generalized Brownian particles within DQME.
- DQME provides a direct route to study dissipaton statistics.
- Transient statistical properties of the solvation coordinate were observed in the electron transfer model.
Conclusions:
- The developed DQME is an effective tool for analyzing open quantum systems.
- This approach facilitates a deeper understanding of environmental effects via dissipatons.
- The findings offer new avenues for studying quantum phenomena in complex environments.
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