Investigating the Araki-Uhlmann relative entropy between two coherent states in relativistic Quantum Field Theory
High Energy Physics - Theory
2025-11-12 v2 Mathematical Physics
math.MP
Abstract
A numerical setup for investigating the Araki-Uhlmann relative entropy between two coherent states is presented for a scalar massive Quantum Field Theory in ()-dimensional Minkowski spacetime. These states are constructed using smeared Weyl operators compactly supported in two diamond regions belonging to the right Rindler wedge. Using this setup, we verified the known properties of the relative entropy, namely: positivity, increase with the size of the spacetime regions considered, decrease with the increase of the mass parameter. A linear increase with respect to the spatial distance between the two diamond regions is also observed.
Keywords
Cite
@article{arxiv.2508.17165,
title = {Investigating the Araki-Uhlmann relative entropy between two coherent states in relativistic Quantum Field Theory},
author = {João G. A. Caribé and Marcelo S. Guimaraes and Itzhak Roditi and Silvio P. Sorella},
journal= {arXiv preprint arXiv:2508.17165},
year = {2025}
}
Comments
10 pages, 4 figures; typos corrected