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Finite-time performance of a single-ion quantum Otto engine.

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Summary
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This study explores finite-time quantum heat engine performance using a trapped ion. Partial thermalization can boost efficiency due to residual coherence, while rapid strokes reduce it by increasing friction.

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Area of Science:

  • Quantum thermodynamics
  • Statistical mechanics
  • Ion trap experiments

Background:

  • Quantum heat engines offer a theoretical framework for energy conversion at the nanoscale.
  • Understanding finite-time performance is crucial for practical applications.
  • Trapped ions provide a controllable platform for studying quantum systems.

Purpose of the Study:

  • To investigate the performance of a quantum heat engine based on a single trapped ion operating in finite time.
  • To analyze the impact of stroke duration on engine efficiency and explore the role of partial thermalization.
  • To elucidate the trade-offs between speed and efficiency in quantum thermodynamic cycles.

Main Methods:

  • A quantum heat engine model utilizing a single trapped ion.
  • Simulating the engine with an always-on thermal environment as the hot bath.
  • Employing the ion's motional degree of freedom as the effective cold bath.
  • Implementing isochoric strokes via ion-environment interaction and projective measurements.
  • Executing expansion and compression strokes by modulating the applied magnetic field.

Main Results:

  • Finite duration of strokes significantly affects quantum heat engine performance.
  • Partial thermalization can enhance engine efficiency due to residual coherence.
  • Faster expansion and compression strokes lead to increased inner friction, reducing efficiency.

Conclusions:

  • The study provides insights into the operational dynamics of finite-time quantum heat engines.
  • Residual coherence plays a key role in enhancing efficiency under partial thermalization.
  • Optimizing stroke durations is essential for maximizing efficiency and minimizing losses in quantum heat engines.