Kinetics and thermodynamics of a driven open quantum system

Area of Science:

• Quantum thermodynamics
• Statistical mechanics
• Quantum dynamics

Background:

• Redfield theory describes quantum systems weakly coupled to dense reservoirs.
• Landau-Zener theory addresses time-dependent driven systems interacting with sparse reservoirs.
• Both theories offer kinetic descriptions but are traditionally applied in distinct regimes.

Purpose of the Study:

• To analyze the validity and interrelation of Redfield and Landau-Zener theories.
• To compare theoretical predictions with exact numerical results using a simplified model.
• To explore the potential for a unified quantum master equation and thermodynamic description.

Main Methods:

• Development and analysis of a simple model system coupled to a reservoir.
• Comparison of predictions from Redfield theory and Landau-Zener theory.
• Exact numerical simulations of the quantum system-reservoir dynamics.

Main Results:

• Identical quantum master equations can be derived from both Redfield and Landau-Zener theories.
• Both theories support a nonequilibrium thermodynamic description consistent with exact identities.
• The study highlights the importance of system-reservoir interaction energy and ideal reservoir conditions.

Conclusions:

• Redfield and Landau-Zener theories exhibit a deeper connection than previously assumed.
• A unified framework for quantum master equations and nonequilibrium thermodynamics is achievable.
• Careful consideration of system-reservoir interactions is crucial for accurate theoretical descriptions.