Rydberg-dressed Fermi liquid: Correlations and signatures of droplet crystallization

We investigate the effects of many-body correlations on the ground-state properties of a single-component ultracold Rydberg-dressed Fermi liquid with purely repulsive interparticle interactions in both three and two spatial dimensions. We employed the Fermi-hypernetted-chain Euler-Lagrange approximation and observed that the contribution of the correlation energy on the ground-state energy becomes significant at intermediate values of the soft-core radius and large coupling strengths. For small and large soft-core radii, the correlation energy is negligible and the ground-state energy approaches the Hartree-Fock value. The positions of the main peaks in static structure factor and pair distribution function in the homogeneous fluid phase signal the formation of quantum droplet crystals with several particles confined inside each droplet.

Automated summary

This study examines the effects of many-body correlations on the ground-state properties of a single-component ultracold Rydberg-dressed Fermi liquid with repulsive interactions, revealing that correlation energy becomes significant at certain soft-core radius and coupling strength values. The positions of main peaks in the static structure factor and pair distribution function indicate the formation of quantum droplet crystals in the homogeneous fluid phase.