Interaction between Unruh-Dewitt detectors exclusively due to acceleration: A Parallel to the FDU Effect

We have discovered an interaction between two detectors in a vacuum that emerges exclusively due to acceleration, akin to the spontaneous excitation of a single detector as predicted by the Fulling-Davies-Unruh (FDU) effect. However, this interaction contrasts sharply with the FDU effect, which suggests that a uniformly accelerated detector behaves as if it were in a thermal bath, as the discovered interaction does not manifest in a thermal environment. The novel interaction displays unique dependencies on the separation between detectors: it can be either attractive or repulsive, with the potential to transition between these behaviors as the inter-detector separation changes. More intriguingly, it exhibits a surprising large-small duality in its dependence on acceleration, suggesting the existence of an optimal acceleration at which the interaction is strongest, in contrast to the monotonic acceleration-dependence of the FDU effect.