G. A. Dominguez-Castro

arXiv2022

Universal correlations along the BEC-BCS crossover

We show that the long-distance behavior of the two-body density correlation functions and the Cooper-pair probability density of a balanced mixture of a two-component Fermi gas at $T = 0$, is universal along the BEC-BCS crossover. Our result is demonstrated by numerically solving the mean-field BCS model for different finite short-range atomic interaction potentials. We find an analytic expression for the correlation length in terms of the chemical potential and the energy gap at zero momentum.

cond-mat.quant-gas↗

arXiv2018

p-wave Superfluid Phases of Fermi Molecules in a Bilayer Lattice Array

We investigate the emergence of superfluid p=p_x+ip_y phases in an ultracold gas of dipolar Fermi molecules lying in two parallel square lattices in 2D. As shown by a two body study, dipole moments oriented in opposite directions in each layer is the key ingredient in our mean field analysis from which unconventional superfluidity is predicted. The T=0 phase diagram summarizes our findings: Stable and metastable superfluid phases appear as a function of the dipole-dipole interaction coupling parameter. A first order phase transition, and thus a mixture of superfluid phases at different densities, is revealed from the coexistence curves in the metastable region. Our model predicts that these superfluid phases can be observed experimentally at 0.6 nK in molecules of NaK confined in optical lattices of size a =532nm

cond-mat.quant-gas↗