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This study explores finite-time quantum Otto cycles using an Ising model. Optimal parameters for work and cooling are found, revealing that control work impacts performance and an optimal cycle duration maximizes efficiency.

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Area of Science:

  • Quantum thermodynamics
  • Statistical mechanics
  • Condensed matter physics

Background:

  • The quantum Otto cycle is a fundamental thermodynamic cycle.
  • Understanding finite-time quantum processes is crucial for practical applications.
  • Ising models are widely used to study phase transitions and critical phenomena.

Purpose of the Study:

  • To investigate the limit cycle regime of a finite-time quantum Otto cycle.
  • To determine optimal parameters for work extraction and cooling.
  • To analyze the impact of finite-time dynamics and control work on cycle performance.

Main Methods:

  • Utilizing Onsager's exact equilibrium solution for a two-dimensional anisotropic Ising model.
  • Analyzing the behavior of quantum Otto cycles in both slow and finite-time regimes.
  • Quantifying work extraction, cooling, and control work during dissipative strokes.

Main Results:

  • Optimal parameters for work extraction and cooling were identified for slow cycles, bypassing phase transitions.
  • Finite-time cycles exhibit finite power and cooling currents.
  • Control work significantly affects performance in finite-time cycles, necessitating an optimal cycle duration for maximum efficiency.

Conclusions:

  • Finite-time quantum Otto cycles require careful consideration of control work, which can be substantial.
  • An optimal cycle duration exists to balance power/cooling and control work.
  • Net-zero-energy transitions can lead to unintended reservoir heating, impacting overall efficiency.