Optimal performance of endoreversible quantum refrigerators

Abstract

The derivation of general performance benchmarks is important in the design of highly optimized heat engines and refrigerators. To obtain them, one may model phenomenologically the leading sources of irreversibility ending up with results which are model-independent, but limited in scope. Alternatively, one can take a simple physical system realizing a thermodynamic cycle and assess its optimal operation from a complete microscopic description. We follow this approach in order to derive the coefficient of performance at maximum cooling rate for \textit{any} endoreversible quantum refrigerator. At striking variance with the \textit{universality} of the optimal efficiency of heat engines, we find that the cooling performance at maximum power is crucially determined by the details of the specific system-bath interaction mechanism. A closed analytical benchmark is found for endoreversible refrigerators weakly coupled to unstructured bosonic heat baths: an ubiquitous case study in quantum thermodynamics.

4+3 pages, 2 figures. Presentation improved and expanded

References in corpus (14)

• A nano heat engine beyond the Carnot limit
• Quantum heat engines and refrigerators: Continuous devices
• Efficiency at maximum power of low dissipation Carnot engines
• Universality of efficiency at maximum power
• Quantum-enhanced absorption refrigerators
• Quantum-dot Carnot engine at maximum power
• Performance bound for quantum absorption refrigerators
• Efficiency of heat engines coupled to nonequilibrium reservoirs
• Quantum thermodynamic cooling cycle
• Markovian Master Equation and Thermodynamics of Two-level System in Strong Laser Field
• On the efficiency at maximum cooling power
• Multi-stage quantum absorption heat pumps
• Universal features in the efficiency of ultra hot quantum Otto engines
• Entanglement control via reservoir engineering in ultracold atomic gases

Cited by in corpus (35)

• Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
• Quantum thermal absorption machines: refrigerators, engines and clocks
• Slow dynamics and thermodynamics of open quantum systems
• Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
• The thermodynamics of creating correlations: Limitations and optimal protocols
• Quantum coherence, many-body correlations, and non-thermal effects for autonomous thermal machines
• Absorption refrigerators based on Coulomb-coupled single-electron systems
• Coherence and decoherence in quantum absorption refrigerators
• Internal dissipation and heat leaks in quantum thermodynamic cycles
• Coherences and the thermodynamic uncertainty relation: Insights from quantum absorption refrigerators
• Current fluctuations in quantum absorption refrigerators
• Heat engines at optimal power: Low-dissipation versus endoreversible model
• Comparative study of heat-driven and power-driven refrigerators with Coulomb-coupled quantum dots
• Unified trade-off optimization of a three-level quantum refrigerator
• Optimal Performance of a Three-level Quantum Refrigerator
• Quantum coherence enables hybrid multitask and multisource regimes in autonomous thermal machines
• Thermodynamics of quantum feedback cooling
• Three-level laser heat engine at optimal performance with ecological function
• Classical emulation of quantum-coherent thermal machines
• Cooling condition for multilevel quantum absorption refrigerators
• Low-control and robust quantum refrigerator and applications with electronic spins in diamond
• Enabling the self-contained refrigerator to work beyond its limits by filtering the reservoir
• Multi-level quantum Diesel engine of non-interacting fermions in a one-dimensional box
• Quantum Brayton Engine of Non-Interacting Fermions in a One-Dimensional Box
• Efficiency of inefficient endoreversible thermal machines
• Global linear-irreversible principle for optimization in finite-time thermodynamics
• Certifying quantum enhancements in thermal machines beyond the Thermodynamic Uncertainty Relation
• Testing a Quantum Heat Pump with a Two-Level Spin
• Quantum Thermal Amplifiers with Engineered Dissipation
• Performance of continuous quantum thermal devices indirectly connected to environments
• Physical implementations of quantum absorption refrigerators
• Heat engine model exhibit super-universal feature and capture the efficiencies of different power plants
• Unified trade-off optimization of quantum harmonic Otto engine and refrigerator
• Unlocking inaccessible performance of the quantum refrigerator with catalysts
• Quantum thermodynamics under continuous monitoring: a general framework