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This study introduces a novel quantum Otto cycle heat engine, achieving higher efficiency at maximum power. The findings benefit from a general scaling law applicable to finite-time thermodynamic processes.

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Area of Science:

  • Thermodynamics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • Heat engine optimization is crucial for efficiency and power output.
  • Finite-time thermodynamics presents challenges, limiting studies to specific cycles like Carnot.
  • Quantum systems offer new avenues for thermodynamic exploration.

Purpose of the Study:

  • To propose a novel finite-time heat engine model based on the quantum Otto cycle.
  • To demonstrate enhanced efficiency at maximum power output.
  • To provide a widely applicable model leveraging general scaling laws.

Main Methods:

  • Development of a finite-time engine model utilizing the quantum Otto cycle.
  • Application of the adiabatic perturbation method to a quantum piston model.
  • Calculation and validation of efficiency at maximum power using an exact solution.

Main Results:

  • A higher achievable efficiency at maximum power was demonstrated for the proposed quantum Otto cycle engine.
  • The model benefits from a general C/τ² scaling of extra work for long control times (τ).
  • The calculated efficiency at maximum power was validated against an exact solution.

Conclusions:

  • The proposed finite-time quantum Otto cycle engine offers improved performance.
  • The general scaling law enhances the model's applicability in finite-time thermodynamics.
  • This work provides a validated framework for quantum heat engine optimization.