The performance of space-fractional quantum carnot engine

This paper investigates the impact of space-fractional on the performance of a quantum heat engine. A particle confined in a one-dimensional infinite potential well serves as the working substance. The fractional parameter is incorporated into the Schrodinger equation, allowing us to derive the quantized energy of the system. The engine operates on a Carnot-like thermodynamic cycle, with heat leakage included to evaluate its performance. The findings reveal that both the efficiency and power output depend not only on the fractional parameter but also on the initial width of the potential. Notably, there exists a critical value of the initial potential width where the fractional case outperforms the non-fractional case in terms of both efficiency and power output.