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We investigate the BCS-BEC crossover in a bilayer system of fermionic dipolesat zero temperature using the fixed-node diffusion Monte Carlo technique. Thedipoles are confined on two parallel planes separated by a distance $\lambda$and are aligned perpendicular to the planes by an external field. Theinterlayer pairing, which is responsible for the superfluid behavior of thesystem, crosses from a weak to a strong-coupling regime by reducing theseparation distance $\lambda$. For a fixed in-plane density, equal in the twolayers, we calculate the ground-state energy, the chemical potential, thepairing gap and the quasiparticle dispersion as a function of the interlayerseparation. At large $\lambda$ one recovers the ground-state energy of a singlelayer of fermions and at small $\lambda$ the one of a single layer of compositebosons with twice the particle mass and the dipole moment. The superfluid gapvaries instead from the exponentially small BCS result to half of the largetwo-body binding energy in the BEC regime of strong interlayer pairing. Resultsare compared with the predictions of the simplest mean-field theory valid inthe low-density limit and deviations are observed both in the BCS regime, wherein-plane repulsions are important, and in the BEC regime where the mean-fieldapproach fails to describe the physics of composite dipolar bosons.

Fixed-node diffusion Monte Carlo study of the BCS-BEC crossover in a bilayer system of fermionic dipoles