Entropy operator and associated Wigner function

TL;DR

This paper introduces a method to compute entropy operators for subsystems and derives the Wigner function for the entropy operator in atom-field interactions, linking entropy measures with phase-space representations.

Contribution

It presents a novel approach to calculate entropy operators and their Wigner functions in quantum systems, specifically for atom-field interactions.

Findings

Derived the entropy operator for two subsystems.

Obtained the Wigner function for the entropy operator in atom-field systems.

Established a connection between entropy measures and phase-space distributions.

Abstract

We show how the entropy operators for two subsystems may be calculated. In the case of the atom-field interaction we obtain the associated Wigner function for the entropy operator for the quantized field.