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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Endoreversible quantum heat engines in the linear response regime.

Honghui Wang1, Jizhou He1, Jianhui Wang1,2

  • 1Department of Physics, Nanchang University, Nanchang 330031, China.

Physical Review. E
|January 20, 2018
PubMed
Summary

This study analyzes quantum heat engines, revealing they achieve maximum power output under tight-coupling conditions. The derived efficiency aligns with the Curzon-Ahlborn limit, a key finding for quantum thermodynamics.

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Area of Science:

  • Quantum Thermodynamics
  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • Quantum heat engines offer a theoretical framework for energy conversion at the quantum level.
  • Understanding their performance limits is crucial for developing novel quantum technologies.

Purpose of the Study:

  • To analyze general models of quantum heat engines operating with adiabatic and isothermal processes.
  • To derive expressions for efficiency and power using a quantum master equation and endoreversibility.
  • To identify thermodynamic fluxes and forces and their linear relationships.

Main Methods:

  • Utilized quantum master equations to model heat transfer currents without phenomenological conduction.
  • Applied endoreversibility description within the linear response regime.
  • Analyzed entropy production rates to identify thermodynamic fluxes and forces.

Main Results:

  • Derived expressions for quantum heat engine efficiency and power.
  • Identified linear relationships between thermodynamic fluxes and forces.
  • Demonstrated that maximizing power output leads to the tight-coupling condition.

Conclusions:

  • Quantum heat engines operating in the linear response regime can achieve the tight-coupling condition.
  • The efficiency at maximum power matches the Curzon-Ahlborn efficiency, representing an upper bound.
  • This work provides fundamental insights into the performance limits of quantum heat engines.