https://doi.org/10.1140/epjc/s10052-025-14984-3
Letter
Investigating the Araki–Uhlmann relative entropy between two coherent states in relativistic Quantum Field Theory
1
CBPF-Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, Brazil
2
Instituto de Física-Departamento de Física Teórica, UERJ-Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, Maracanã, 20550-013, Rio de Janeiro, Brazil
Received:
31
August
2025
Accepted:
21
October
2025
Published online:
10
November
2025
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.
© The Author(s) 2025
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