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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2504.13148 |
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| _version_ | 1866915365189058560 |
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| author | Guimaraes, Marcelo S. Roditi, Itzhak Sorella, Silvio P. Vieira, Arthur F. |
| author_facet | Guimaraes, Marcelo S. Roditi, Itzhak Sorella, Silvio P. Vieira, Arthur F. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13148 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relative entropy of single-mode squeezed states in Quantum Field Theory Guimaraes, Marcelo S. Roditi, Itzhak Sorella, Silvio P. Vieira, Arthur F. High Energy Physics - Theory Mathematical Physics 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. |
| title | Relative entropy of single-mode squeezed states in Quantum Field Theory |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2504.13148 |