  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.
