[Méthode de la fonction de Wigner pour l’effet Gibbons–Hawking et l’effet Unruh]
Un observateur au repos dans l’univers en expansion est confronté à un bruit supplémentaire dans le vide quantique, tout comme un observateur accéléré dans le vide au repos (dans l’espace de Minkowski). La littérature se concentre principalement sur les cas idéaux d’une expansion exponentielle (espace de de Sitter) ou d’une accélération uniforme (trajectoires de Rindler) voire les deux, mais l’expansion cosmique réelle n’est pas exponentielle et les accélérations réelles ne sont pas uniformes. Nous utilisons ici la fonction de Wigner fréquence-temps des corrélations du vide pour définir des spectres dépendant du temps. Nous avons trouvé d’excellents spectres de Planck pour une classe de modèles cosmologiques réalistes, mais aussi des fonctions de Wigner négatives et fortement non planckiennes pour un scénario standard testable avec des analogues de laboratoire.
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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Mot clés : vide quantique, expansion cosmique, observateurs accélérés, analogues de laboratoire, spectres dépendant du temps
Ziv Landau 1 ; Ulf Leonhardt 1
CC-BY 4.0
@article{CRPHYS_2024__25_S2_A6_0,
author = {Ziv Landau and Ulf Leonhardt},
title = {Wigner function method for the {Gibbons{\textendash}Hawking} and the {Unruh} effect},
journal = {Comptes Rendus. Physique},
publisher = {Acad\'emie des sciences, Paris},
year = {2024},
doi = {10.5802/crphys.201},
language = {en},
note = {Online first},
}
Ziv Landau; Ulf Leonhardt. Wigner function method for the Gibbons–Hawking and the Unruh effect. Comptes Rendus. Physique, Online first (2024), pp. 1-13. doi : 10.5802/crphys.201.
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