Quantum Heat Engine with Level Degeneracy for Oscillator-shaped Potential Well

Abstract

In this paper, we consider positive oscillator-shaped well potential and set a Szilard-like quantum heat engine based on energy level degeneracy. By using position-dependent energy eigenvalues of the oscillator-shaped well, we compute extracted work and efficiency based on Stirling-like thermodynamical cycle. We obtain numerical results for physical quantities and discuss work and efficiency dependence of angular frequency, well width, and temperature.