Investigating the Araki–Uhlmann relative entropy between two coherent states in relativistic Quantum Field Theory
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 ( $$1+1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> )-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.
Authors
- I. Roditi (ORCID: https://orcid.org/0000-0003-2363-5626)
- M. S. Guimarães (ORCID: https://orcid.org/0000-0003-0057-148X)
- João G. A. Caribé (ORCID: https://orcid.org/0000-0001-7418-5149)
- S. P. Sorella (ORCID: https://orcid.org/0000-0002-6051-6960)
Institutions
- Universidade do Estado do Rio de Janeiro (BR)
- Centro Brasileiro de Pesquisas Físicas (BR)
Publication Details
- Journal
- The European Physical Journal C
- Published
- 2025-11-10
- DOI
- https://doi.org/10.1140/epjc/s10052-025-14984-3
- Primary Topic
- Quantum Mechanics and Non-Hermitian Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
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