Wigner function method for the Gibbons–Hawking and the Unruh effect
An observer at rest with the expanding universe experiences some extra noise in the quantum vacuum, and so does an accelerated observer in a vacuum at rest (in Minkowski space). The literature mainly focuses on the ideal cases of exponential expansion (de–Sitter space) or uniform acceleration (Rindl...
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Format: | Article |
Language: | English |
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Académie des sciences
2024-11-01
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Series: | Comptes Rendus. Physique |
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Online Access: | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.201/ |
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author | Landau, Ziv Leonhardt, Ulf |
author_facet | Landau, Ziv Leonhardt, Ulf |
author_sort | Landau, Ziv |
collection | DOAJ |
description | An observer at rest with the expanding universe experiences some extra noise in the quantum vacuum, and so does an accelerated observer in a vacuum at rest (in Minkowski space). The literature mainly focuses on the ideal cases of exponential expansion (de–Sitter space) or uniform acceleration (Rindler trajectories) or both, but the real cosmic expansion is non–exponential and real accelerations are non–uniform. Here we use the frequency–time Wigner function of vacuum correlations to define time–dependent spectra. We found excellent Planck spectra for a class of realistic cosmological models, but also strongly non–Planckian, negative Wigner functions for a standard scenario testable with laboratory analogues. |
format | Article |
id | doaj-art-3ac3578ef7344822937ac1bcc46d66df |
institution | Kabale University |
issn | 1878-1535 |
language | English |
publishDate | 2024-11-01 |
publisher | Académie des sciences |
record_format | Article |
series | Comptes Rendus. Physique |
spelling | doaj-art-3ac3578ef7344822937ac1bcc46d66df2025-02-07T13:54:01ZengAcadémie des sciencesComptes Rendus. Physique1878-15352024-11-0111310.5802/crphys.20110.5802/crphys.201Wigner function method for the Gibbons–Hawking and the Unruh effectLandau, Ziv0Leonhardt, Ulf1Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, IsraelDepartment of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, IsraelAn observer at rest with the expanding universe experiences some extra noise in the quantum vacuum, and so does an accelerated observer in a vacuum at rest (in Minkowski space). The literature mainly focuses on the ideal cases of exponential expansion (de–Sitter space) or uniform acceleration (Rindler trajectories) or both, but the real cosmic expansion is non–exponential and real accelerations are non–uniform. Here we use the frequency–time Wigner function of vacuum correlations to define time–dependent spectra. We found excellent Planck spectra for a class of realistic cosmological models, but also strongly non–Planckian, negative Wigner functions for a standard scenario testable with laboratory analogues.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.201/quantum vacuumcosmic expansionaccelerated observerslaboratory analoguestime-dependent spectra |
spellingShingle | Landau, Ziv Leonhardt, Ulf Wigner function method for the Gibbons–Hawking and the Unruh effect Comptes Rendus. Physique quantum vacuum cosmic expansion accelerated observers laboratory analogues time-dependent spectra |
title | Wigner function method for the Gibbons–Hawking and the Unruh effect |
title_full | Wigner function method for the Gibbons–Hawking and the Unruh effect |
title_fullStr | Wigner function method for the Gibbons–Hawking and the Unruh effect |
title_full_unstemmed | Wigner function method for the Gibbons–Hawking and the Unruh effect |
title_short | Wigner function method for the Gibbons–Hawking and the Unruh effect |
title_sort | wigner function method for the gibbons hawking and the unruh effect |
topic | quantum vacuum cosmic expansion accelerated observers laboratory analogues time-dependent spectra |
url | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.201/ |
work_keys_str_mv | AT landauziv wignerfunctionmethodforthegibbonshawkingandtheunruheffect AT leonhardtulf wignerfunctionmethodforthegibbonshawkingandtheunruheffect |