Relative entropy of single-mode squeezed states in Quantum Field Theory
Abstract Utilizing the Tomita–Takesaki modular theory, we derive a closed-form analytic expression for the Araki–Uhlmann relative entropy between a single-mode squeezed state and the vacuum state in a free relativistic massive scalar Quantum Field Theory within wedge regions of Minkowski spacetime. Similarly to the case of coherent states, this relative entropy is proportional to the smeared Pauli–Jordan distribution. Consequently, the Araki–Uhlmann entropy between a single-mode squeezed state and the vacuum satisfies all expected properties: it remains positive, increases with the size of the Minkowski region under consideration, and decreases as the mass parameter grows.
Authors
- I. Roditi (ORCID: https://orcid.org/0000-0003-2363-5626)
- M. S. Guimarães (ORCID: https://orcid.org/0000-0003-0057-148X)
- Arthur F. Vieira (ORCID: https://orcid.org/0000-0003-2897-2437)
- S. P. Sorella (ORCID: https://orcid.org/0000-0002-6051-6960)
Institutions
- Universidade Federal do Rio de Janeiro (BR)
- Universidade do Estado do Rio de Janeiro (BR)
- Centro Brasileiro de Pesquisas Físicas (BR)
Publication Details
- Journal
- The European Physical Journal C
- Published
- 2025-06-30
- DOI
- https://doi.org/10.1140/epjc/s10052-025-14413-5
- Primary Topic
- Quantum many-body systems
- 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