Work

Investigating the Araki–Uhlmann relative entropy between two coherent states in relativistic Quantum Field Theory

Year: 2025

Type: article

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 ( $$1+1$$ 1 + 1 )-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.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-025-14984-3

Authors: João G. A. Caribé, Marcelo S. Guimaraes, Itzhak Roditi, Silvio P. Sorella

Institutions: Centro Brasileiro de Pesquisas Físicas, Universidade do Estado do Rio de Janeiro

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

Awards: G1819681150, G1977054553, G2295652846, G3836668482, G5758078929