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Generalized Quantum Fluctuation Theorem for Energy Exchange.

Wei Wu1, Jun-Hong An1

  • 1Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou Center for Theoretical Physics and Key Laboratory of Theoretical Physics of Gansu Province, <a href="https://ror.org/01mkqqe32">Lanzhou University</a>, Lanzhou 730000, China.

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Summary
This summary is machine-generated.

A generalized quantum fluctuation theorem for heat exchange was established, extending beyond weak-coupling limits. This advances quantum thermodynamics and the design of quantum heat engines.

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Area of Science:

  • Quantum Thermodynamics
  • Quantum Statistical Mechanics

Background:

  • The Jarzynski-Wójcik fluctuation theorem is central to quantum thermodynamics for system-bath heat exchange.
  • This theorem is currently limited to the Born-Markovian approximation and weak-coupling conditions.

Purpose of the Study:

  • To establish a generalized quantum fluctuation theorem for energy exchange valid for arbitrary coupling strengths.
  • To explore the influence of non-Markovian dynamics on quantum heat exchange.

Main Methods:

  • Studying energy exchange between a harmonic oscillator and its coupled bath.
  • Analyzing non-Markovian dynamics and system-bath bound states.

Main Results:

  • A generalized quantum fluctuation theorem for energy exchange was established, applicable to non-Markovian dynamics and arbitrary coupling strengths.
  • The Jarzynski-Wójcik fluctuation theorem was recovered as a special case in the weak-coupling limit.
  • Rich nonequilibrium characteristics in average energy exchange were observed, linked to system-bath bound states.

Conclusions:

  • The generalized fluctuation theorem deepens the understanding of fluctuation relations in quantum thermodynamics.
  • The findings provide a foundation for designing high-efficiency quantum heat engines by controlling quantum heat.
  • The formation of system-bath bound states offers a novel pathway for quantum heat control.