Quantum Thermodynamics in the Refined Weak Coupling Limit

Area of Science:

• Thermodynamics
• Quantum Systems
• Statistical Mechanics

Background:

• The weak coupling limit is crucial for understanding system-environment interactions in quantum thermodynamics.
• Standard weak coupling models often assume Markovian dynamics, which may not hold when interactions are non-negligible.
• Non-Markovian dynamics break divisibility conditions, complicating thermodynamic analysis.

Purpose of the Study:

• To present a thermodynamic framework for the refined weak coupling limit.
• To derive the first and second laws of thermodynamics from reduced system dynamics.
• To account for non-Markovian effects arising from non-negligible system-environment interactions.

Main Methods:

• Extending the refined weak coupling limit to include slowly-varying external drivings.
• Revising the definition of internal energy to accommodate non-negligible interactions.
• Developing a framework based solely on the reduced system dynamics.

Main Results:

• A thermodynamic framework applicable to the refined weak coupling limit is established.
• The first and second laws of thermodynamics are derived using only the reduced system dynamics.
• The framework successfully handles non-Markovian dynamics and non-negligible interactions.

Conclusions:

• The proposed framework provides a robust method for analyzing thermodynamics in the refined weak coupling limit.
• It demonstrates that thermodynamic laws can be consistently defined even for non-Markovian systems.
• This work advances the understanding of quantum thermodynamics beyond the standard Markovian approximations.