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We use the formalism of noisy Gaussian channels to derive explicittransformation laws describing how an arbitrary multimode Gaussian state of ascalar quantum field is perceived by a number of accelerating observers, eachhaving access to at least one of the modes. Our work, which generalizes earlierresults of Ahmadi, et al., Phys. Rev. D 93, 124031 (2016), is the next steptorwards a better understanding of the effect of gravity on the states ofquantum fields.

Multimode theory of Gaussian states in uniformly accelerated frames