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We study the mechanical actions affecting close scatterers immersed in acoherent fermionic fluid. Using a scattering field theory, we theoreticallyanalyse the single-scatterer and the two-scatterer case. Concerning thesingle-scatterer case, we find that a net force affects the scatterer dynamicsonly in non-equilibrium condition, i.e. imposing the presence of anon-vanishing particle current flowing through the system. The forcefluctuation (variance) is instead not negligible both in equilibrium and innon-equilibrium conditions. Concerning the two-scatterer case, an attractivefluid-mediated Casimir force is experienced by the scatterers at small spatialseparation, while a decaying attractive/repulsive behavior as a function of thescatterer separation is found. Furthermore, the Casimir force fluctuationsacting on a given scatterer in close vicinity of the other present anoscillating behavior reaching a long distance limit comparable to the value ofthe single-scatterer case. The relevance of these findings is discussed inconnection with fluctuation phenomena in low-dimensional nanostructures andcold atoms systems.

Amplification phenomena of Casimir force fluctuations on close scatterers coupled via a coherent fermionic fluid