# Achieve Higher Efficiency at Maximum Power with Finite-time Quantum Otto Cycle

## TL;DR

This paper demonstrates that a finite-time quantum Otto cycle can outperform Carnot-like engines in efficiency at maximum power by leveraging a /^{2} scaling law and analytical optimization methods.

## Contribution

It introduces a new finite-time quantum Otto cycle model and shows how to optimize it to surpass traditional efficiency limits at maximum power.

## Key findings

- The quantum Otto cycle achieves higher efficiency at maximum power.
- Analytical optimization is validated with exact solutions.
- The model benefits from a general /^{2} scaling law.

## Abstract

The optimization of finite-time thermodynamic heat engines was intensively explored recently, yet limited to few cycles, e.g. finite-time Carnot-like cycle. In this paper, we supplement a new type of finite-time engine with quantum Otto cycle and show the better performance. The current model can be widely utilized benefited from the general \mathcal{C}/\tau^{2} scaling of extra work for finite-time adiabatic process with long control time \tau. Such scaling allows analytical optimization of the generic finite-time quantum Otto cycle to surpass the efficiency at maximum power for the Carnot-like engine. We apply the current perturbation method to the quantum piston model and calculate the efficiency at maximum power, which is validated with exact solution.