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Quantum Thermodynamics in the Refined Weak Coupling Limit.

Ángel Rivas1,2

  • 1Departamento de Física Teórica, Facultad de Ciencias Físicas, Universidad Complutense, 28040 Madrid, Spain.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary

We developed a thermodynamic framework for the refined weak coupling limit, showing system dynamics can be non-Markovian. This framework derives thermodynamic laws using only reduced system dynamics, even with non-negligible system-environment interactions.

Keywords:
non-Markovian quantum dynamicsopen quantum systemsquantum thermodynamics

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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.