Quantum Otto cycle under strong coupling

Abstract

Quantum heat engines are often discussed under the weak coupling assumption that the interaction between the system and the reservoirs is negligible. Although this setup is easier to analyze, this assumption cannot be justified on the quantum scale. In this study, a quantum Otto cycle model that can be generally applied without the weak coupling assumption is proposed. We replace the thermalization process in the weak coupling model with a process comprising thermalization and decoupling. The efficiency of the proposed model is analytically calculated and it indicates that when the contribution of the interaction terms is neglected in the weak interaction limit, it reduces to that of the earlier model. The sufficient condition for the efficiency of the proposed model not to surpass that of the weak coupling model is that the decoupling processes of our model have a positive cost. Moreover, the relation between the interaction strength and the efficiency of the proposed model is numerically examined using a simple two-level system. Furthermore, we show that our model's efficiency can surpass that of the weak coupling model under particular cases. From analyzing the majorization relation, we also find a design method of the optimal interaction Hamiltonians which are expected to provide the maximum efficiency of the proposed model. Under these interaction Hamiltonians, the numerical experiment shows that the proposed model achieves higher efficiency than that of its weak coupling counterpart.

14 pages, 4 figures

References in corpus (8)

• Quantum Thermodynamic Cycles and quantum heat engines
• Single ion heat engine with maximum efficiency at maximum power
• Quantum thermodynamic devices: from theoretical proposals to experimental reality
• Quantum Thermodynamic Cycles and Quantum Heat Engines (II)
• Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
• Performance of a quantum heat engine at strong reservoir coupling
• Otto Engine: Classical and Quantum Approach
• Heat Bath Algorithmic Cooled Quantum Otto Engines

Cited by in corpus (7)

• Roadmap on Quantum Thermodynamics
• Dynamically Emergent Quantum Thermodynamics: Non-Markovian Otto Cycle
• Dynamics of a strongly coupled quantum heat engine -- computing bath observables from the hierarchy of pure states
• Quantum Carnot thermal machines re-examined: Definition of efficiency and the effects of strong coupling
• Availing non-Markovian dynamics in effective negative temperature-based transient quantum Otto engines
• Out-of-equilibrium quantum thermochemical engine with one-dimensional Bose gas
• Structure of Quantum Mean Force Gibbs States for Coupled Harmonic Systems