A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory

• DOI: 10.48550/arxiv.2502.09796
• Publication Date: 2025-02-13
• Authors: M. S. Guimarães; I. Roditi; S. P. Sorella; Arthur F. Vieira
• Keywords: Quantum relative entropy; Generalized relative entropy

We numerically investigate the Araki-Uhlmann relative entropy in Quantum Field Theory, focusing on a free massive scalar field 1+1-dimensional Minkowski spacetime. Using Tomita-Takesaki modular theory, we analyze between coherent state and vacuum state, with several types of test functions localized right Rindler wedge. Our results confirm that decreases increasing mass grows size spacetime region, aligning theoretical expectations.