Performance optimization of a finite-time quantum tricycle

TL;DR

This paper develops a finite-time quantum tricycle model, derives heat exchange perturbations, and optimizes its cooling performance to identify conditions for maximum efficiency.

Contribution

It introduces a finite-time quantum tricycle framework and applies perturbation and optimization methods to enhance cooling performance.

Findings

Identifies the optimal operating region for the quantum tricycle.

Derives heat exchange perturbation expansion during heat processes.

Provides insights into efficient quantum thermal device operation.

Abstract

We establish a finite-time external field-driven quantum tricycle model. Within the framework of slow driving perturbation, the perturbation expansion of heat in powers of time can be derived during the heat exchange processes. Employing the method of Lagrange multiplier, we optimize the cooling performance of the tricycle by considering the cooling rate and the figure of merit, which is the product of the coefficient of performance and cooling rate, as objective functions. Our findings reveal the optimal operating region of the tricycle, shedding light on its efficient performance.