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

Abstract

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.

Density and pseudo-spin rotons in a bilayer of soft-core bosons

“…The interaction between these Rydberg-dressed particles has a soft-core and a van der Waals tail at long distances. Many exotic phenomena such as supersolid phase [23,24], quantum liquid droplets [25,26], clustering [27], roton excitation [27][28][29], and Fermi superfluid (SF) phases [30] are investigated with Rydberg-dressed atoms. Rotating trapped Rydberg-dressed atoms is suggested to provide an exceptional platform to observe vortex structures [31] and the quantum Hall effect with neutral atomic gases [32].…”

Evolution of static and dynamical density correlations in a one-dimensional soft-core gas from the Tonks-Girardeau limit to a clustering fluid

“…While, in classical mechanics, clustering favored by the potential competes with entropic effects at finite temperature, in the quantum regime one may expect an interesting phase diagram even at zero temperature, due to the role of zeropoint motion. In fact, supersolid behavior, characterized by the coexistence of crystal and superfluid order, has been investigated for soft-core bosons [5][6][7][8][9][10], and unconventional states have been predicted for soft-core fermions [11][12][13]. In onedimensional (1D) systems, where the paradigm for quantum liquids is Luttinger liquid (LL) theory [14,15], tendency to clustering manifests as a transition to cluster Luttinger liquids (CLL), on a lattice [16,17] and in the continuum [18].…”