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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Main Authors: Landau, Ziv, Leonhardt, Ulf
Format: Article
Language:English
Published: Académie des sciences 2024-11-01
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.
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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