Quantum Otto cycle under strong coupling

TL;DR

This paper introduces a quantum Otto cycle model that operates without the weak coupling assumption, analyzing how strong interactions influence efficiency and proposing optimal interaction Hamiltonians for maximum performance.

Contribution

A novel quantum Otto cycle model that accounts for strong coupling effects, including analytical efficiency calculations and a method to design optimal interaction Hamiltonians.

Findings

Efficiency can surpass weak coupling models under certain conditions.

Decoupling processes with positive cost limit efficiency gains.

Numerical results show higher efficiency with optimal interaction Hamiltonians.

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.