Many boson quantum Szilard engine for fractional power law potential

TL;DR

This paper explores the quantum Szilard engine for non-interacting bosons in fractional power law and Morse potentials, analyzing how potential parameters and temperature influence work and efficiency.

Contribution

It introduces a detailed analysis of the quantum Szilard engine with fractional power law potentials and compares it to Morse potential scenarios, highlighting the effects of various parameters.

Findings

Work and efficiency depend on particle number and potential parameters.

Potential depth and anharmonicity significantly influence engine performance.

Temperature variations affect the work output and efficiency.

Abstract

In this article, we have realized the quantum Szilard engine (QZE) for non-interacting bosons. We have adopted the Bose-Einstein statistics for this purpose. We have considered fractional power law potential for this purpose and have used the artifact of the quantization of energy. We have calculated the work and the efficiency for non-interacting bosons in fractional power potential. We have shown the dependence of the number of particles for the work and the efficiency. We also have realized the QZE for a single-particle in a Morse potential revealing how the depth of the potential impacts both work and efficiency. Furthermore, we have examined the influence of temperature and the anharmonicity parameter on the work. Finally, we have conducted a comparative analysis, considering both non-interacting bosons in a fractional power law potential and a single-particle in a Morse potential under harmonic approximation conditions.