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We address the validity of the single-mode approximation that is commonlyinvoked in the analysis of entanglement in non-inertial frames and in otherrelativistic quantum information scenarios. We show that the single-modeapproximation is not valid for arbitrary states, finding corrections toprevious studies beyond such approximation in the bosonic and fermionic cases.We also exhibit a class of wave packets for which the single-mode approximationis justified subject to the peaking constraints set by an appropriate Fouriertransform.

The Unruh effect in quantum information beyond the single-mode approximation