Classical and Quantum Szilard Engine under Generalized Uncertainty Principle Effect

TL;DR

This paper investigates how the generalized uncertainty principle (GUP) influences both classical and quantum Szilard engines, revealing modifications in work output and energy spectra for bosonic and fermionic systems.

Contribution

It introduces a comprehensive analysis of GUP effects on Szilard engines, including classical work reduction and quantum energy shifts for different particle types.

Findings

GUP reduces the work output in classical Szilard engines.

Quantum energy levels are shifted due to GUP, affecting quantum engine behavior.

The effects differ between bosonic and fermionic molecules.

Abstract

We studied the Szilard engine under the effect of generalized uncertainty principle (GUP). In the classical Szilard engine, the work done by the engine is reduced by the GUP effect via a modified ideal gas law. In the quantum Szilard engine, the correction comes from the shifted eigen energy due to the nonlinear momentum dependence. We studied its effect on both bosonic and fermionic molecules.