Wigner function method for the Gibbons-Hawking and the Unruh effect
arXiv:2406.09339 · doi:10.5802/crphys.201
Abstract
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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