The Harmonic Quantum Szil\'ard Engine

TL;DR

This paper introduces a novel quantum Szilard engine model using a harmonic potential, providing exact calculations and deepening understanding of the relationship between information, entropy, and quantum measurement.

Contribution

It presents a new harmonic potential model for the quantum Szilard engine with exact solutions, expanding the conceptual framework of quantum thermodynamics.

Findings

Exact calculations of the harmonic quantum Szilard engine.

Enhanced understanding of information-entropy relationship in quantum systems.

Model applicable for educational and research purposes.

Abstract

The Szil\'ard engine is a mechanism (akin to Maxwell's demon) for converting information into energy, which seemingly violates the second law of thermodynamics. Originally a classical thought experiment, it was extended to a quantized treatment by Zurek. Here, we examine a new, elegant model of a quantum Szil\'ard engine by replacing the traditional rigid box with a harmonic potential, extending the scope of the model. Remarkably, almost all calculations are exact. This article is suitable to students, researchers and educators interested in the conceptual links between information, entropy, and quantum measurement.