Multimode theory of Gaussian states in uniformly accelerated frames

TL;DR

This paper develops a comprehensive theoretical framework to describe how Gaussian quantum states are perceived by multiple accelerating observers, advancing understanding of gravity's impact on quantum fields.

Contribution

It generalizes previous models by providing explicit transformation laws for multimode Gaussian states in accelerated frames, enhancing the theoretical understanding of quantum field behavior under gravity.

Findings

Derived explicit transformation laws for multimode Gaussian states

Extended previous models to multiple accelerating observers

Contributed to understanding gravity's effect on quantum states

Abstract

We use the formalism of noisy Gaussian channels to derive explicit transformation laws describing how an arbitrary multimode Gaussian state of a scalar quantum field is perceived by a number of accelerating observers, each having access to at least one of the modes. Our work, which generalizes earlier results of Ahmadi, et al., Phys. Rev. D 93, 124031 (2016), is the next step torwards a better understanding of the effect of gravity on the states of quantum fields.