Optimal operation of a three-level quantum heat engine and universal nature of efficiency
arXiv:2003.07608 · doi:10.1103/PhysRevResearch.2.043187
Abstract
We present a detailed study of a three-level quantum heat engine operating at maximum efficient power function, a trade-off objective function defined by the product of the efficiency and power output of the engine. First, for near equilibrium conditions, we find general expression for the efficiency and establish universal nature of efficiency at maximum power and maximum efficient power. Then in the high temperature limit, optimizing with respect to one parameter while constraining the other one, we obtain the lower and upper bounds on the efficiency for both strong as well as weak matter-field coupling conditions. Except for the weak matter-field coupling condition, the obtained bounds on the efficiency exactly match with the bounds already known for some models of classical heat engines. Further for weak matter-field coupling, we derive some new bounds on the the efficiency of the the engine which lie beyond the range covered by bounds obtained for strong matter-field coupling. We conclude by comparing the performance of our three-level quantum heat engine in maximum power and maximum efficient power regimes and show that the engine operating at maximum efficient power produces at least of the maximum power output while considerably reducing the power loss due to entropy production.
References in corpus (34)
- Efficiency at maximum power of low dissipation Carnot engines
- Single ion heat engine with maximum efficiency at maximum power
- How small can thermal machines be? The smallest possible refrigerator
- Universality of efficiency at maximum power
- Quantum Equivalence and Quantum Signatures in Heat Engines
- Experimental demonstration of quantum effects in the operation of microscopic heat engines
- The Quantum Absorption Refrigerator
- Quantum absorption refrigerator with trapped ions
- Quantum-dot Carnot engine at maximum power
- Efficiency at maximum power of Feynman's ratchet as a heat engine
- Performance bound for quantum absorption refrigerators
- Slow dynamics and thermodynamics of open quantum systems
- Efficiency of harmonic quantum Otto engines at maximal power
- Small quantum absorption refrigerator in the transient regime: time scales, enhanced cooling and entanglement
- Efficiency at Maximum Power of Laser Quantum Heat Engine Enhanced by Noise-Induced Coherence
- Realising a quantum absorption refrigerator with an atom-cavity system
- Efficiency at and near Maximum Power of Low-Dissipation Heat Engines
- Bosons Outperform Fermions -- The Thermodynamic Advantage of Symmetry
- Coherence and decoherence in quantum absorption refrigerators
- Quantum Synchronisation in Nanoscale Heat Engines
- Low-dissipation Carnot-like heat engines at maximum efficient power
- Quantum Optical Two-Atom Thermal Diode
- Universal features in the efficiency of ultra hot quantum Otto engines
- Quantum, cyclic and particle-exchange heat engines
- Two-level masers as heat-to-work converters
- A first--order irreversible thermodynamic approach to a simple energy converter
- Quantum statistics of a single-atom Scovil-Schulz-DuBois heat engine
- Electromagnetically Induced Transparency and Quantum Heat Engines
- Two-body quantum absorption refrigerators with optomechanical-like interactions
- Optimal Performance of a Three-level Quantum Refrigerator
- Three-level laser heat engine at optimal performance with ecological function
- Feynman-Smoluchowski engine at high temperatures and the role of constraints
- Efficiency of inefficient endoreversible thermal machines
- Thermodynamics of Cyclic Quantum Amplifiers
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- Extraction of ergotropy: free energy bound and application to open cycle engines
- Quantum Heat Engines with Carnot Efficiency at Maximum Power
- Cyclic solid-state quantum battery: Thermodynamic characterization and quantum hardware simulation
- Superradiant many-qubit absorption refrigerator
- Unified trade-off optimization of a three-level quantum refrigerator
- Quantum Otto heat engines on XYZ spin working medium with DM and KSEA interactions: Operating modes and efficiency at maximal work output
- A finite-time quantum Otto engine with tunnel coupled one-dimensional Bose gases
- Performance of the collective three-level quantum thermal engine
- -symmetric effects in measurement-based quantum thermal machines
- Thermodynamics of a continuous quantum heat engine: Interplay between population and coherence
- Efficiency of optically pumping a quantum battery and a two-stroke heat engine
- Maximally effcient quantum thermal machines fuelled by nonequilibrium steady states
- Time-resolved Stochastic Dynamics of Quantum Thermal Machines
- Certifying quantum enhancements in thermal machines beyond the Thermodynamic Uncertainty Relation
- Out-of-equilibrium quantum thermochemical engine with one-dimensional Bose gas
- Unified trade-off optimization of quantum harmonic Otto engine and refrigerator