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Thermodynamically consistent master equation based on subsystem eigenstates.

Si-Ying Wang1, Qinghong Yang2, Fu-Lin Zhang1

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Summary
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This study introduces a new local master equation for open quantum systems. It corrects intersubsystem interactions to prevent thermodynamic law violations in many-body systems.

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Area of Science:

  • Quantum physics
  • Thermodynamics
  • Many-body systems

Background:

  • Master equations are vital for studying open quantum systems.
  • Local master equations offer convenience for many-body systems but face thermodynamic inconsistencies.
  • Intersubsystem interactions pose challenges for traditional local approaches.

Purpose of the Study:

  • To develop an alternative local master equation that resolves thermodynamic inconsistencies.
  • To ensure adherence to thermodynamic laws in systems with intersubsystem interactions.
  • To provide a more robust theoretical framework for open quantum many-body systems.

Main Methods:

  • Developed an alternative local master equation using approximations similar to the Gorini-Kossakowski-Lindblad-Sudarshan equation.
  • Constructed quantum jump operators using subsystem eigenstates.
  • Employed the secular approximation to modify intersubsystem interactions.

Main Results:

  • The modified local master equation avoids violations of thermodynamic laws.
  • Correcting intersubsystem interactions is key to maintaining thermodynamic consistency.
  • A two-qubit heat transfer model validated the effectiveness of the new master equation.

Conclusions:

  • The developed local master equation offers a thermodynamically consistent description of open quantum many-body systems.
  • This work provides a refined tool for studying quantum heat transfer and related phenomena.
  • The findings pave the way for more accurate theoretical modeling in quantum thermodynamics.