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Optimal performance of endoreversible quantum refrigerators.

Luis A Correa1, José P Palao2, Gerardo Adesso3

  • 1School of Mathematical Sciences, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kindom and Instituto Universitario de Estudios Avanzados en Atómica, Molecular y Fotónica, Universidad de La Laguna, 38203 La Laguna, Spain.

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This summary is machine-generated.

Quantum refrigerators can achieve maximum cooling rates, but performance benchmarks depend on system details, unlike heat engines. This study provides an analytical benchmark for specific quantum refrigerators.

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Area of Science:

  • Quantum Thermodynamics
  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • Optimized heat engines and refrigerators require general performance benchmarks.
  • Current benchmarks are either model-independent but limited or derived from specific systems.
  • Understanding quantum refrigerators' performance limits is crucial for technological advancement.

Purpose of the Study:

  • To derive the coefficient of performance at maximum cooling rate for endoreversible quantum refrigerators.
  • To investigate the universality of performance benchmarks in quantum thermodynamics.
  • To establish an analytical benchmark for specific quantum refrigerator models.

Main Methods:

  • Modeling endoreversible quantum refrigerators.
  • Microscopic description of system-thermostat interactions.
  • Derivation of performance benchmarks from fundamental principles.

Main Results:

  • Cooling performance at maximum power is system-specific, unlike heat engines.
  • A closed analytical benchmark is derived for endoreversible refrigerators coupled to bosonic baths.
  • The system-bath interaction mechanism critically determines cooling performance.

Conclusions:

  • Performance benchmarks for quantum refrigerators are not universal.
  • The derived benchmark provides a valuable tool for designing optimized quantum refrigerators.
  • This work advances the understanding of quantum thermodynamic cycles and their limitations.